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MEAN LOG-DEVIATION

  • Mean log deviation
  • Measure of income inequality

    In statistics and econometrics, the mean log deviation (MLD) is a measure of income inequality. The MLD is zero when everyone has the same income, and

    Mean log deviation

    Mean_log_deviation

  • Coefficient of variation
  • Relative measure of dispersion expressed as the ratio of standard deviation to the mean

    variation (CV), also known as normalized root-mean-square deviation (NRMSD), and relative standard deviation (RSD), is a standardized measure of dispersion

    Coefficient of variation

    Coefficient_of_variation

  • Average absolute deviation
  • Summary statistic of variability

    related to the given data set. AAD includes the mean absolute deviation and the median absolute deviation (both abbreviated as MAD). Several measures of

    Average absolute deviation

    Average_absolute_deviation

  • Log-normal distribution
  • Probability distribution

    } Specifically, the arithmetic mean, expected square, arithmetic variance, and arithmetic standard deviation of a log-normally distributed variable X

    Log-normal distribution

    Log-normal distribution

    Log-normal_distribution

  • Geometric mean
  • N-th root of the product of n numbers

    Arithmetic-geometric mean Generalized mean Geometric mean theorem Geometric standard deviation Harmonic mean Heronian mean Heteroscedasticity Log-normal distribution

    Geometric mean

    Geometric mean

    Geometric_mean

  • Geometric standard deviation
  • Statistical measure

    the geometric standard deviation (GSD) describes how spread out are a set of numbers whose preferred average is the geometric mean. For such data, it may

    Geometric standard deviation

    Geometric_standard_deviation

  • Standard deviation
  • Measure of variation in statistics

    variance being the average of the squared deviations from the mean). A useful property of the standard deviation is that, unlike the variance, it is expressed

    Standard deviation

    Standard deviation

    Standard_deviation

  • Gini coefficient
  • Measure of inequality of a statistical distribution

    entropy measures are frequently used (e.g. or the Theil Index and Mean log deviation as special cases of the generalized entropy index, or equivalently

    Gini coefficient

    Gini coefficient

    Gini_coefficient

  • Mean absolute error
  • Statistical error measure

    related to the mean squared error, the equivalent for mean absolute error is least absolute deviations. MAE is not identical to root-mean square error (RMSE)

    Mean absolute error

    Mean_absolute_error

  • Arithmetic mean
  • Type of average of a collection of numbers

    number for which the residuals (deviations from the estimate) sum to zero. This can also be interpreted as saying that the mean is translationally invariant

    Arithmetic mean

    Arithmetic_mean

  • Reference range
  • Measured values that are relatively normal for a particular medical test

    arithmetic mean in this case, the parameters μlog and σlog can be estimated from the arithmetic mean (m) and standard deviation (s.d.) as: μ log = ln ⁡ (

    Reference range

    Reference_range

  • Median absolute deviation
  • Statistical measure of variability

    data set than the standard deviation. In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily

    Median absolute deviation

    Median_absolute_deviation

  • Mean absolute percentage error
  • Measure of prediction accuracy of a forecast

    The mean absolute percentage error (MAPE), also known as mean absolute percentage deviation (MAPD), is a measure of prediction accuracy of a forecasting

    Mean absolute percentage error

    Mean absolute percentage error

    Mean_absolute_percentage_error

  • Standard error
  • Statistical property

    (usually an estimator of a parameter, like the average or mean) is the standard deviation of its sampling distribution. The standard error is often used

    Standard error

    Standard error

    Standard_error

  • Effect size
  • Statistical measure of the magnitude of a phenomenon

    group, M denotes the sample mean, μ the population mean, SD the sample's standard deviation, σ the population's standard deviation, and n is the sample size

    Effect size

    Effect_size

  • Generalized entropy index
  • Measure of income inequality

    income inequality metrics as special cases. For example, GE(0) is the mean log deviation a.k.a. Theil L index, GE(1) is the Theil T index, and GE(2) is half

    Generalized entropy index

    Generalized entropy index

    Generalized_entropy_index

  • Chebyshev's inequality
  • Bound on probability of a random variable being far from its mean

    deviation of a random variable (with finite variance) from its mean. More specifically, the probability that a random variable deviates from its mean

    Chebyshev's inequality

    Chebyshev's_inequality

  • Theil index
  • Index to measure economic inequality

    the lower end of the distribution. It is also referred to as the mean log deviation measure. GE(1) = Theil's T and is more sensitive to differences at

    Theil index

    Theil_index

  • Mean
  • Numeric quantity representing the center of a collection of numbers

    Arithmetic-geometric mean Arithmetic-harmonic mean Cesàro mean Chisini mean Contraharmonic mean Elementary symmetric mean Geometric-harmonic mean Grand mean Heinz mean Heronian

    Mean

    Mean

  • Reduced chi-squared statistic
  • Test statistic

    extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD) in isotopic dating and variance of unit weight in the

    Reduced chi-squared statistic

    Reduced_chi-squared_statistic

  • Harmonic mean
  • Inverse of the average of the inverses of a set of numbers

    only. The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals of the numbers, that is, the generalized f-mean with f ( x ) = 1 x

    Harmonic mean

    Harmonic_mean

  • Normal distribution
  • Probability distribution

    standard deviation away from the mean, namely at x = μ − σ {\textstyle x=\mu -\sigma } and x = μ + σ . {\textstyle x=\mu +\sigma .} Its density is log-concave

    Normal distribution

    Normal distribution

    Normal_distribution

  • Unbiased estimation of standard deviation
  • Procedure to estimate standard deviation from a sample

    estimation of a standard deviation is the calculation from a statistical sample of an estimated value of the standard deviation (a measure of statistical

    Unbiased estimation of standard deviation

    Unbiased_estimation_of_standard_deviation

  • Large deviations theory
  • Branch of probability theory

    In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While

    Large deviations theory

    Large_deviations_theory

  • Regression toward the mean
  • Statistical phenomenon

    where it's below its mean, when t < 0), is rt standard deviations above the mean of Y. Since |r| ≤ 1, Y is no farther from the mean than X is, as measured

    Regression toward the mean

    Regression toward the mean

    Regression_toward_the_mean

  • Beta distribution
  • Probability distribution

    mean) by the range (c − a), linearly for the mean deviation and nonlinearly for the variance: (mean deviation around mean) ( Y ) = ( (mean deviation around

    Beta distribution

    Beta distribution

    Beta_distribution

  • Index of dispersion
  • Normalized measure of the dispersion of a probability distribution

    {t_{a}}{t_{b}}}\right)\right]\right)}}\right)}} where tj is the mean absolute deviation of the jth sample and zα is the confidence interval length for

    Index of dispersion

    Index_of_dispersion

  • Errors and residuals
  • Statistics concept

    observation is the deviation of the observed value from the true value of a quantity of interest (for example, a population mean). The residual is the

    Errors and residuals

    Errors_and_residuals

  • Standard score
  • How many standard deviations apart from the mean an observed datum is

    number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being

    Standard score

    Standard score

    Standard_score

  • Statistical dispersion
  • Statistical property quantifying how much a collection of data is spread out

    Standard deviation Interquartile range (IQR) Range Mean absolute difference (also known as Gini mean absolute difference) Median absolute deviation (MAD)

    Statistical dispersion

    Statistical dispersion

    Statistical_dispersion

  • Mean squared displacement
  • Measure of the deviation of position over time

    squared displacement, or mean square fluctuation, is a measure of the deviation of the position of a particle with respect to a reference position over

    Mean squared displacement

    Mean_squared_displacement

  • Quasi-arithmetic mean
  • Generalization of means

    numbers, and   f ( x )   =   log ⁡ ( x )   , {\displaystyle \ f(x)\ =\ \log(x)\ ,} then the f mean corresponds to the geometric mean. (The result is the same

    Quasi-arithmetic mean

    Quasi-arithmetic_mean

  • Signal-to-noise ratio
  • Ratio of the desired signal to the background noise

    standard deviation σN. The signal and the noise must be measured the same way, for example, as voltages across the same impedance. Their root mean squares

    Signal-to-noise ratio

    Signal-to-noise ratio

    Signal-to-noise_ratio

  • Mode (statistics)
  • Value that appears most often in a set of data

    has standard deviation σ = 0.25, the distribution of Y is weakly skewed. Using formulas for the log-normal distribution, we find: mean = e μ + σ 2 /

    Mode (statistics)

    Mode_(statistics)

  • Log transformation (statistics)
  • Transforming data by taking the logarithm

    median or the mean, by transforming back to the original scale using exponent (with some adjustments for CI for the mean), the inverse of the log transformation

    Log transformation (statistics)

    Log_transformation_(statistics)

  • Maximum entropy probability distribution
  • Probability distribution that has the most entropy of a class

    result). Every distribution with log-concave density is a maximal entropy distribution with specified mean μ and deviation risk measure D . In particular

    Maximum entropy probability distribution

    Maximum_entropy_probability_distribution

  • Median
  • Middle quantile of a data set or probability distribution

    variability: the range, the interquartile range, the mean absolute deviation, and the median absolute deviation. For practical purposes, different measures of

    Median

    Median

    Median

  • Nonparametric skew
  • Statistical quantity

    {\displaystyle S={\frac {\mu -\nu }{\sigma }}} where the mean (μ), median (ν) and standard deviation (σ) of the population have their usual meanings. The

    Nonparametric skew

    Nonparametric_skew

  • Interquartile range
  • Measure of statistical dispersion

    median of some common distributions are shown below The IQR, mean, and standard deviation of a population P can be used in a simple test of whether or

    Interquartile range

    Interquartile range

    Interquartile_range

  • 68–95–99.7 rule
  • Shorthand used in statistics

    distributed random variable, μ (mu) is the mean of the distribution, and σ (sigma) is its standard deviation: Pr ( μ − 1 σ ≤ X ≤ μ + 1 σ ) ≈ 68.27 % Pr

    68–95–99.7 rule

    68–95–99.7 rule

    68–95–99.7_rule

  • Logarithm
  • Mathematical function, inverse of an exponential function

    formula: log b ⁡ x = log 10 ⁡ x log 10 ⁡ b = log e ⁡ x log e ⁡ b . {\displaystyle \log _{b}x={\frac {\log _{10}x}{\log _{10}b}}={\frac {\log _{e}x}{\log _{e}b}}

    Logarithm

    Logarithm

    Logarithm

  • Central tendency
  • Statistical value representing the center or average of a distribution

    distributions. Thus standard deviation about the mean is lower than standard deviation about any other point, and the maximum deviation about the midrange is

    Central tendency

    Central_tendency

  • Minimum-variance unbiased estimator
  • Unbiased statistical estimator minimizing variance

    the sample standard deviation is not unbiased for the population standard deviation – see unbiased estimation of standard deviation. Further, for other

    Minimum-variance unbiased estimator

    Minimum-variance_unbiased_estimator

  • Pearson correlation coefficient
  • Measure of linear correlation

    standard deviations. The formal definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted

    Pearson correlation coefficient

    Pearson correlation coefficient

    Pearson_correlation_coefficient

  • Strictly standardized mean difference
  • Statistical measure of effect size

    the strictly standardized mean difference (SSMD) is a measure of effect size. It is the mean divided by the standard deviation of a difference between two

    Strictly standardized mean difference

    Strictly_standardized_mean_difference

  • Generalized linear model
  • Class of statistical models

    log(μ) be a linear model. This produces the "cloglog" transformation log ⁡ ( − log ⁡ ( 1 − p ) ) = log ⁡ ( μ ) . {\displaystyle \log(-\log(1-p))=\log(\mu

    Generalized linear model

    Generalized_linear_model

  • Cauchy distribution
  • Probability distribution

    1853. Poisson noted that if the mean of observations following such a distribution were taken, the standard deviation did not converge to any finite number

    Cauchy distribution

    Cauchy distribution

    Cauchy_distribution

  • Kurtosis
  • Fourth standardized moment in statistics

    kurtosis corresponds to greater extremity of deviations (or outliers), and not the configuration of data near the mean. Excess kurtosis, typically compared to

    Kurtosis

    Kurtosis

  • Variance
  • Statistical measure of how far values spread from their average

    defined as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically

    Variance

    Variance

    Variance

  • Linear regression
  • Statistical modeling method

    variable that follows a Gaussian distribution, where the standard deviation is fixed and the mean is a linear combination of x → {\displaystyle {\vec {x}}} :

    Linear regression

    Linear_regression

  • Covariance
  • Measure of the joint variability

    -1 and 1 by dividing by the geometric mean of the total variances (i.e., the product of the standard deviations) for the two random variables. A distinction

    Covariance

    Covariance

  • Stratified sampling
  • Sampling from a population which can be partitioned into subpopulations

    measurements within strata have a lower standard deviation (as compared to the overall standard deviation in the population), stratification gives a smaller

    Stratified sampling

    Stratified sampling

    Stratified_sampling

  • Bland–Altman plot
  • Data visualization

    samples independently from their mean values, it is more appropriate to look at the ratio of the pairs of measurements. Log transformation (base 2) of the

    Bland–Altman plot

    Bland–Altman plot

    Bland–Altman_plot

  • Control chart
  • Tool to assess control of a manufacturing process

    line is drawn at the value of the mean or median of the statistic The standard deviation (e.g., sqrt(variance) of the mean) of the statistic is calculated

    Control chart

    Control chart

    Control_chart

  • List of statistics articles
  • preserving spread Mean reciprocal rank Mean signed difference Mean square quantization error Mean square weighted deviation Mean squared error Mean squared prediction

    List of statistics articles

    List_of_statistics_articles

  • MLD
  • Topics referred to by the same term

    genetic condition Masking Level Difference, see Auditory masking Mean log deviation in statistics and econometrics Mixed layer depth in hydrography Multicast

    MLD

    MLD

  • Relative change
  • Comparisons in quantitative sciences

    {\displaystyle F_{0}} and log change is F 1 {\displaystyle F_{1}} . Approximation error Errors and residuals in statistics Relative standard deviation Logarithmic scale

    Relative change

    Relative_change

  • Student's t-distribution
  • Probability distribution

    \right){\frac {\sqrt {n}}{s}},} which differs from Z in that the exact standard deviation σ is replaced by the sample standard error s, has a Student's t-distribution

    Student's t-distribution

    Student's t-distribution

    Student's_t-distribution

  • Robust measures of scale
  • Statistical indicators of the deviation of a sample

    conventional or non-robust measures of scale, such as sample standard deviation, which are greatly influenced by outliers. The most common such robust

    Robust measures of scale

    Robust_measures_of_scale

  • Histogram
  • Graphical representation of the distribution of numerical data

    which is less sensitive than the standard deviation to outliers in data. This approach of minimizing integrated mean squared error from Scott's rule can be

    Histogram

    Histogram

    Histogram

  • Robust statistics
  • Type of statistics

    distribution, and 5% a normal distribution with the same mean but significantly higher standard deviation (representing outliers). Robust parametric statistics

    Robust statistics

    Robust_statistics

  • Law of large numbers
  • Averages of repeated trials converge to the expected value

    will tend toward zero (standard deviation asymptotic to 1 / 2 logloglog ⁡ n {\textstyle 1/{\sqrt {2\log \log \log n}}} ), but for a given ε, there

    Law of large numbers

    Law of large numbers

    Law_of_large_numbers

  • Logarithmically concave function
  • Type of mathematical function

    distribution with specified mean μ and Deviation risk measure D. As it happens, many common probability distributions are log-concave. Some examples: the

    Logarithmically concave function

    Logarithmically_concave_function

  • Z-test
  • Statistical test

    the population standard deviation. Next calculate the z-score, which is the distance from the sample mean to the population mean in units of the standard

    Z-test

    Z-test

    Z-test

  • Prediction interval
  • Estimate of an interval in which future observations will fall

    credible intervals may be used to estimate the population mean μ and population standard deviation σ of the underlying population, while prediction intervals

    Prediction interval

    Prediction_interval

  • Sampling distribution
  • Probability distribution of the possible sample outcomes

    simulations, bootstrap methods, or asymptotic distribution theory. The standard deviation of the sampling distribution of a statistic is referred to as the standard

    Sampling distribution

    Sampling_distribution

  • Student's t-test
  • Statistical hypothesis test

    {n}}}},} where x ¯ {\displaystyle {\bar {x}}} is the sample mean, s is the sample standard deviation and n is the sample size. The degrees of freedom used in

    Student's t-test

    Student's_t-test

  • Simple linear regression
  • Linear regression model with a single explanatory variable

    \Delta y_{i}} as the deviations in xi and yi with respect to their respective means. The above equations are efficient to use if the mean of the x and y variables

    Simple linear regression

    Simple linear regression

    Simple_linear_regression

  • Similarity (signal processing)
  • Concept in signal processing

    n]\right|^{2}}{\sum _{m=0}^{M-1}\sum _{n=0}^{N-1}\left|x[m,n]\right|^{2}}}} Root-mean-square deviation is derived from MSE by taking the square root of the MSE. It downscale

    Similarity (signal processing)

    Similarity_(signal_processing)

  • Central limit theorem
  • Fundamental theorem in probability theory and statistics

    appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution. This holds even if the original

    Central limit theorem

    Central limit theorem

    Central_limit_theorem

  • Prior probability
  • Distribution of an uncertain quantity

    tomorrow in St. Louis, to use a normal distribution with mean 50 degrees Fahrenheit and standard deviation 40 degrees, which very loosely constrains the temperature

    Prior probability

    Prior_probability

  • Likelihood function
  • Function related to statistics and probability theory

    with: log ⁡ L ( α , β ∣ x ) = α log ⁡ β − log ⁡ Γ ( α ) + ( α − 1 ) log ⁡ x − β x . {\displaystyle \log {\mathcal {L}}(\alpha ,\beta \mid x)=\alpha \log \beta

    Likelihood function

    Likelihood_function

  • William Horwitz
  • American chemist (1918–2006)

    [dimensionless] = w / 100%-w/w predicted RSD (relative standard deviation) = 2^(1-0.5*log(C))% Horwitz worked for the U.S. Food and Drug Administration

    William Horwitz

    William_Horwitz

  • Mahalanobis distance
  • Statistical distance measure

    standard deviations away P {\displaystyle P} is from the mean of D {\displaystyle D} . This distance is zero for P {\displaystyle P} at the mean of D {\displaystyle

    Mahalanobis distance

    Mahalanobis_distance

  • Log-Cauchy distribution
  • Probability distribution

    log-Cauchy distribution are finite. The mean is a moment so the log-Cauchy distribution does not have a defined mean or standard deviation. The log-Cauchy

    Log-Cauchy distribution

    Log-Cauchy distribution

    Log-Cauchy_distribution

  • Jeffreys prior
  • Non-informative prior distribution

    the Jeffreys prior for the standard deviation σ > 0 {\textstyle \sigma >0} is p ( σ ) ∝ I ( σ ) = E [ ( d d σ log ⁡ f ( x ∣ σ ) ) 2 ] = E [ ( ( x − μ

    Jeffreys prior

    Jeffreys_prior

  • Likelihood-ratio test
  • Statistical test that compares goodness of fit

    normally-distributed. Both the mean, μ, and the standard deviation, σ, of the population are unknown. We want to test whether the mean is equal to a given value

    Likelihood-ratio test

    Likelihood-ratio_test

  • Skewness
  • Measure of the asymmetry of random variables

    {\displaystyle \mu } is the mean, ν {\displaystyle \nu } is the median, and σ {\displaystyle \sigma } is the standard deviation, the skewness is defined

    Skewness

    Skewness

  • Tolerance interval
  • Type of statistical probability

    {\displaystyle {\bar {X}}} and S {\displaystyle S} denote the sample mean and standard deviation of the log-transformed data for a sample of size n, a 95% confidence

    Tolerance interval

    Tolerance_interval

  • German tank problem
  • Problem in statistical estimation

    m+{\frac {m\ln(2)}{k-1}}} and the following approximations for the mean and standard deviation: N ≈ μ ± σ = 89 ± 50 , μ = ( m − 1 ) k − 1 k − 2 , σ = ( k −

    German tank problem

    German tank problem

    German_tank_problem

  • Cumulant
  • Set of quantities in probability theory

    ⋯ + X m ( t ) = log ⁡ E ⁡ [ e t ( X 1 + ⋯ + X m ) ] = log ⁡ ( E ⁡ [ e t X 1 ] ⋯ E ⁡ [ e t X m ] ) = log ⁡ E ⁡ [ e t X 1 ] + ⋯ + log ⁡ E ⁡ [ e t X m ]

    Cumulant

    Cumulant

  • Statistical parameter
  • Quantity that indexes a parametrized family of probability distributions

    summarizes or describes an aspect of the population, such as a mean or a standard deviation. If a population exactly follows a known and defined distribution

    Statistical parameter

    Statistical_parameter

  • Log-distance path loss model
  • Type of radio propagation model

    distribution with σ {\displaystyle \sigma } standard deviation in decibels, resulting in a log-normal distribution of the received power in watts. In

    Log-distance path loss model

    Log-distance_path_loss_model

  • Poisson regression
  • Statistical model for count data

    offset(log(exposure)) + x, family=poisson(link=log) ) A characteristic of the Poisson distribution is that its mean is equal to its variance. In certain circumstances

    Poisson regression

    Poisson_regression

  • Statistic
  • Single measure of some attribute of a sample

    statistics. Some include: Sample mean, sample median, and sample mode Sample variance and sample standard deviation Sample quantiles besides the median

    Statistic

    Statistic

  • Gumbel distribution
  • Particular case of the generalized extreme value distribution

    -\ln(\ln(2))\approx 0.3665} , the mean is γ ≈ 0.5772 {\displaystyle \gamma \approx 0.5772} (the Euler–Mascheroni constant), and the standard deviation is π / 6 ≈ 1.2825

    Gumbel distribution

    Gumbel distribution

    Gumbel_distribution

  • Confidence interval
  • Range to estimate an unknown parameter

    since it entails calculating the sample mean X ¯ {\displaystyle {\bar {X}}} and sample standard deviation S {\displaystyle S} and using the asymptotically

    Confidence interval

    Confidence interval

    Confidence_interval

  • Summary statistics
  • Type of statistics

    tendency, such as the arithmetic mean a measure of statistical dispersion like the standard mean absolute deviation a measure of the shape of the distribution

    Summary statistics

    Summary statistics

    Summary_statistics

  • Moving average
  • Type of statistical measure over subsets of a dataset

    a moving average (rolling average or running average or moving mean or rolling mean) is a calculation to analyze data points by creating a series of

    Moving average

    Moving average

    Moving_average

  • Logrank test
  • Hypothesis test to compare the survival distributions of two samples

    then the logrank statistic is approximately normal with mean ( log ⁡ λ ) n d 4 {\displaystyle (\log {\lambda })\,{\sqrt {\frac {n\,d}{4}}}} and variance

    Logrank test

    Logrank_test

  • Power law
  • Functional relationship between two quantities

    terms that are constant, log, and log-squared. When the mean is small and variance is large, the constant in front of the log-squared term is very small

    Power law

    Power law

    Power_law

  • Level of measurement
  • Distinction between nominal, ordinal, interval and ratio variables

    also allowed, but not the mean), and the appropriate measure of dispersion is percentile or quartile (the standard deviation is not allowed). Those restrictions

    Level of measurement

    Level_of_measurement

  • Jenks natural breaks optimization
  • Data clustering algorithm

    to minimize each class's average square deviation from the class mean, while maximizing each class's deviation from the means of the other classes. In

    Jenks natural breaks optimization

    Jenks_natural_breaks_optimization

  • Receiver operating characteristic
  • Diagnostic plot of binary classifier ability

    This z-score is based on a normal distribution with a mean of zero and a standard deviation of one. In memory strength theory, one must assume that

    Receiver operating characteristic

    Receiver operating characteristic

    Receiver_operating_characteristic

  • Parameter
  • Variable used for specification

    base-b logarithm by the formula log b ⁡ ( x ) = log ⁡ ( x ) log ⁡ ( b ) {\displaystyle \log _{b}(x)={\frac {\log(x)}{\log(b)}}} where b is a parameter that

    Parameter

    Parameter

  • Frequency (statistics)
  • Number of occurrences in an experiment or study

    on raw data. There are simple algorithms to calculate median, mean, standard deviation etc. from these tables. Statistical hypothesis testing is founded

    Frequency (statistics)

    Frequency_(statistics)

  • Taylor's law
  • Empirical law on the variance of species in a habitat

    individuals to the mean density of the samples. log ⁡ ( m ) = log ⁡ ( a ) + b log ⁡ ( − log ⁡ ( p 0 ) ) {\displaystyle \log(m)=\log(a)+b\log(-\log(p_{0}))} where

    Taylor's law

    Taylor's_law

  • Point estimation
  • Parameter estimation via sample statistics

    In general, with a normally-distributed sample mean, Ẋ, and with a known value for the standard deviation, σ, a 100(1-α)% confidence interval for the true

    Point estimation

    Point_estimation

  • Least squares
  • Approximation method in statistics

    absolute deviation as error of estimation. He felt these to be the simplest assumptions he could make, and he had hoped to obtain the arithmetic mean as the

    Least squares

    Least squares

    Least_squares

  • Generalized normal distribution
  • Probability distribution

    around the mean and the tail behavior are of particular interest. Other families of distributions can be used if the focus is on other deviations from normality

    Generalized normal distribution

    Generalized_normal_distribution

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MEAN LOG-DEVIATION

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MEAN LOG-DEVIATION

  • ÉLOY
  • Male

    French

    ÉLOY

     French form of Latin Eligius, ÉLOY means "to choose."

    ÉLOY

  • in Long
  • Boy/Male

    French, German, Polish

    in Long

    Long

    in Long

  • JEAN
  • Female

    English

    JEAN

    Scottish form of French Jeanne, JEAN means "God is gracious." Compare with masculine Jean.

    JEAN

  • LOT
  • Male

    Greek

    LOT

    (Λώτ) Greek form of Hebrew Lowt, LOT means "covering, veil." In the bible, this is the name of a nephew of Abraham and father of Moab.

    LOT

  • SEAN
  • Male

    English

    SEAN

    Anglicized form of Irish Gaelic Seán, SEAN means "God is gracious."

    SEAN

  • MAN
  • Male

    Hebrew

    MAN

    Short form of Hebrew Immanuw'el (English Immanuel), MAN means "God is with us."

    MAN

  • Long
  • Surname or Lastname

    English and French

    Long

    English and French : nickname for a tall person, from Old English lang, long, Old French long ‘long’, ‘tall’ (equivalent to Latin longus).Irish (Ulster (Armagh) and Munster) : reduced Anglicized form of Gaelic Ó Longáin (see Langan).Chinese : from the name of an official treasurer called Long, who lived during the reign of the model emperor Shun (2257–2205 bc). his descendants adopted this name as their surname. Additionally, a branch of the Liu clan (see Lau 1), descendants of Liu Lei, who supposedly had the ability to handle dragons, was granted the name Yu-Long (meaning roughly ‘resistor of dragons’) by the Xia emperor Kong Jia (1879–1849 bc). Some descendants later simplified Yu-Long to Long and adopted it as their surname.Chinese : there are two sources for this name. One was a place in the state of Lu in Shandong province during the Spring and Autumn period (722–481 bc). The other source is the Xiongnu nationality, a non-Han Chinese people.Chinese : variant of Lang.Cambodian : unexplained.

    Long

  • Hamon-gog
  • Biblical

    Hamon-gog

    the multitude of Gog

    Hamon-gog

  • KEAN
  • Male

    English

    KEAN

    Anglicized form of Irish Gaelic Cian, KEAN means "ancient, distant."

    KEAN

  • LOÍDA
  • Female

    Spanish

    LOÍDA

    Spanish form of Greek Lois, possibly LOÍDA means "agreeable."

    LOÍDA

  • JEAN
  • Male

    French

    JEAN

    A derivative of Anglo-Norman French Jehan, JEAN means "God is gracious." Compare with feminine Jean.

    JEAN

  • ÉLOI
  • Male

    French

    ÉLOI

    French form of Latin Eligius, ÉLOI means "to choose."

    ÉLOI

  • Hamon-gog
  • Girl/Female

    Biblical

    Hamon-gog

    The multitude of Gog.

    Hamon-gog

  • DEAN
  • Male

    English

    DEAN

     English occupational surname transferred to forename use, from the Latin word decanus, DEAN means "dean; ecclesiastical supervisor."

    DEAN

  • Dean
  • Surname or Lastname

    English

    Dean

    English : topographic name from Middle English dene ‘valley’ (Old English denu), or a habitational name from any of several places in various parts of England named Dean, Deane, or Deen from this word. In Scotland this is a habitational name from Den in Aberdeenshire or Dean in Ayrshire.English : occupational name for the servant of a dean or nickname for someone thought to resemble a dean. A dean was an ecclesiastical official who was the head of a chapter of canons in a cathedral. The Middle English word deen is a borrowing of Old French d(e)ien, from Latin decanus (originally a leader of ten men, from decem ‘ten’), and thus is a cognate of Deacon.Irish : variant of Deane.Italian : occupational name cognate with 2, from Venetian dean ‘dean’, a dialect form of degan, from degano (Italian decano).

    Dean

  • LON
  • Male

    English

    LON

     English short form of Spanish Alonso, LON means "noble and ready." Compare with another form of Lon.

    LON

  • Jean
  • Surname or Lastname

    French

    Jean

    French : from the personal name Jean, French form of John.English : variant of Jayne.A Vivien Jean, recorded in Canada in 1681, was also known as Vien; some descendants adopted that surname and are now called Vien or Viens. Another Jean, from the Saintonge region of France, is documented in Quebec City in 1655 with the secondary surname Denis. Other secondary surnames associated with this name include Laforest, Godon, Tourangeau, Vincent, and Pierrejean.

    Jean

  • MEGAN
  • Female

    English

    MEGAN

    Pet form of Welsh Mared, MEGAN means "pearl." 

    MEGAN

  • LOU
  • Male

    English

    LOU

    English unisex short form of French Louis and Louise, both LOU means "famous warrior." 

    LOU

  • Means
  • Surname or Lastname

    Irish

    Means

    Irish : shortened form of McMeans.English : habitational names from East and West Meon in Hampshire, which take their names from the Meon river. The word is Celtic but of uncertain meaning, possibly ‘swift one’.nickname from Middle English mene ‘inferior in rank’, ‘of low degree’ (from Old English gemǣne), or from Middle English mene ‘moderate in behaviour’ (from Old French mëen, mean).

    Means

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  • Mean
  • n.

    A quantity having an intermediate value between several others, from which it is derived, and of which it expresses the resultant value; usually, unless otherwise specified, it is the simple average, formed by adding the quantities together and dividing by their number, which is called an arithmetical mean. A geometrical mean is the square root of the product of the quantities.

  • Log-ship
  • n.

    A part of the log. See Log-chip, and 2d Log, n., 2.

  • Mean-spirited
  • a.

    Of a mean spirit; base; groveling.

  • Lean
  • v. i.

    Wanting fullness, richness, sufficiency, or productiveness; deficient in quality or contents; slender; scant; barren; bare; mean; -- used literally and figuratively; as, the lean harvest; a lean purse; a lean discourse; lean wages.

  • Mean
  • superl.

    Wanting dignity of mind; low-minded; base; destitute of honor; spiritless; as, a mean motive.

  • Low
  • superl.

    Not rising to the usual height; as, a man of low stature; a low fence.

  • Mean
  • v. t.

    To have in the mind, as a purpose, intention, etc.; to intend; to purpose; to design; as, what do you mean to do ?

  • Mean
  • superl.

    Penurious; stingy; close-fisted; illiberal; as, mean hospitality.

  • Mean
  • a.

    Average; having an intermediate value between two extremes, or between the several successive values of a variable quantity during one cycle of variation; as, mean distance; mean motion; mean solar day.

  • Mean
  • superl.

    Destitute of distinction or eminence; common; low; vulgar; humble.

  • Low
  • adv.

    In a low mean condition; humbly; meanly.

  • Mean
  • superl.

    Of poor quality; as, mean fare.

  • Log
  • v. t.

    To enter in a ship's log book; as, to log the miles run.

  • Clog
  • v.

    A weight, as a log or block of wood, attached to a man or an animal to hinder motion.

  • Low
  • superl.

    Mean; vulgar; base; dishonorable; as, a person of low mind; a low trick or stratagem.

  • Log
  • v. i.

    To engage in the business of cutting or transporting logs for timber; to get out logs.

  • Log
  • n.

    Hence: The record of the rate of ship's speed or of her daily progress; also, the full nautical record of a ship's cruise or voyage; a log slate; a log book.

  • Lag
  • a.

    Last; long-delayed; -- obsolete, except in the phrase lag end.

  • Meant
  • imp. & p. p.

    of Mean