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Clock error measurement
Maximum time interval error (MTIE) is the maximum error committed by a clock under test in measuring a time interval for a given period of time. It is
Maximum_time_interval_error
Deviation of time source
Measurements of a reference timing signal will refer to its TDEV and maximum time interval error (MTIE) values, comparing them to specified masks or goals. The
Time_deviation
Clock deviation from perfect periodicity
ideally be. Maximum time interval error (MTIE) Maximum error committed by a clock under test in measuring a time interval for a given period of time. Period
Jitter
Number of incorrect bits transmitted
bits during a studied time interval. Bit error ratio is a unitless performance measure, often expressed as a percentage. The bit error probability pe is the
Bit_error_rate
Frequency domain representation of random fluctuations in the phase of a waveform
coherence time of the qubit is directly related to the linewidth of the lasers. Allan variance Flicker noise Leeson's equation Maximum time interval error Noise
Phase_noise
Mathematical model combining space and time
light for the same time interval, positive intervals are always timelike. If s 2 {\displaystyle s^{2}} is negative, the spacetime interval is said to be spacelike
Spacetime
level, and by Telecordia/Bellcore standards GR-253 and GR-1244. Maximum time interval error (MTIE) is a measure of the worst case phase variation of a signal
Synchronization in telecommunications
Synchronization_in_telecommunications
Estimate of an interval in which future observations will fall
inference, specifically predictive inference, a prediction interval is an estimate of an interval in which a future observation will fall, with a certain
Prediction_interval
Radio signal interference mitigation
8 μs, 1.6 μs, and 3.2 μs guard intervals.[citation needed] The shorter guard interval results in a higher packet error rate when the delay spread of the
Guard_interval
Logical error that can often be found in programming
Fencepost errors can also occur in units other than length. For example, the Time Pyramid, consisting of 120 blocks placed at 10-year intervals between
Off-by-one_error
Interval bounded by an upper and a lower limit statistics
In statistics, interval estimation is the use of sample data to estimate an interval of possible values of a (sample) parameter of interest. This is in
Interval_estimation
Range to estimate an unknown parameter
a single point estimate (e.g. "the average screen time is 3 hours per day"), a confidence interval provides a range, such as 2 to 4 hours, along with
Confidence_interval
Statistical property
deviation of its sampling distribution. The standard error is often used in calculations of confidence intervals. The sampling distribution of a mean is generated
Standard_error
Concepts from statistical hypothesis testing
Type I error, or a false positive, is the incorrect rejection of a true null hypothesis in statistical hypothesis testing. A type II error, or a false
Type_I_and_type_II_errors
Statistical method
Bootstrapping assigns measures of accuracy (bias, variance, confidence intervals, prediction error, etc.) to sample estimates. This technique allows estimation
Bootstrapping_(statistics)
Statistical methods for comparing samples
(using a pooled standard error) and compared to the standard normal distribution to obtain p-values or form confidence intervals for the difference in proportions
Two-proportion_Z-test
Mathematical concept
ratio scale is not met (e.g., when using interval scales like Celsius temperature), the calculated relative error can become highly sensitive to the choice
Approximation_error
Parameter estimation via sample statistics
with interval estimation: interval estimates are typically either confidence intervals, in the case of frequentist inference, or credible intervals, in
Point_estimation
Method of estimating the parameters of a statistical model, given observations
ML estimates Mean squared error: a measure of how 'good' an estimator of a distributional parameter is (be it the maximum likelihood estimator or some
Maximum_likelihood_estimation
Uniform distribution on an interval
bounds defines the interval length; all intervals of the same length on the distribution's support are equally probable. It is the maximum entropy probability
Continuous uniform distribution
Continuous_uniform_distribution
Exercise strategy
bursts at maximum or near maximal effort with periods of rest or low activity between bouts. The very high level of intensity, the interval duration,
High-intensity interval training
High-intensity_interval_training
Upper bound on rounding error in floating-point arithmetic
rounding error for number x {\displaystyle x} is [ interval / 2 ] / x {\displaystyle [{\text{interval}}/2]/x} . In this context, the largest relative error occurs
Machine_epsilon
Nonparametric test of the null hypothesis
test can be converted to a measure of effect size by dividing it by the maximum value of U, which is the product of the sizes of the two samples being
Mann–Whitney_U_test
Graphical representation of the distribution of numerical data
series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable
Histogram
Condition in which the value of a measurement or observation is only partially known
of censoring and the known interval or limit. Special software programs (often reliability oriented) can conduct a maximum likelihood estimation for summary
Censoring_(statistics)
Method of encoding digital data on multiple carrier frequencies
time between the reception of the first and the last echo) is shorter than the guard interval (i.e., 125 microseconds). This corresponds to a maximum
Orthogonal frequency-division multiplexing
Orthogonal_frequency-division_multiplexing
Longest recorded life span
Maximum life span (or, for humans, maximum reported age at death) is a measure of the maximum amount of time one or more members of a population have been
Maximum_life_span
Function related to statistics and probability theory
introduced what is today called a "likelihood interval"; the 1922 paper introduced the term "method of maximum likelihood". Quoting Fisher: [I]n 1922, I proposed
Likelihood_function
Statistical hypothesis test
chi-square estimation Nonparametric statistics Wald test Wilson score interval "Chi-Square – Sociology 3112 – Department of Sociology – The University
Chi-squared_test
Greatest and least values in a statistical data sample
summary and the associated box plot. The sample maximum and minimum provide a non-parametric prediction interval: in a sample from a population, or more generally
Sample_maximum_and_minimum
Statistical considerations on how many observations to make
though sometimes unavoidable, can result in wide confidence intervals and risk of errors in statistical hypothesis testing. using a target variance for
Sample_size_determination
Concept in machine learning
precisely, it is the maximum number of samples on which the model/training procedure achieves approximately on average 0 training error. Early observations
Double_descent
redirects to Maximum a posteriori estimation Marchenko–Pastur distribution Marcinkiewicz–Zygmund inequality Marcum Q-function Margin of error Marginal conditional
List_of_statistics_articles
Probability distribution
standard deviation of the errors were known, a normal distribution would be used instead of the t distribution. Confidence intervals and hypothesis tests are
Student's_t-distribution
Statistical test
mean of a distribution. For each significance level in the confidence interval, the Z-test has a single critical value (for example, 1.96 for 5% two-tailed)
Z-test
Statistical hypothesis test
valid if the null hypothesis is true and standard assumptions about the errors (ε) in the data hold. F-tests are frequently used to compare different statistical
F-test
Collection of statistical models
errors, graphical methods based on an expected variation increase (above the residuals) and methods based on achieving a desired confidence interval.
Analysis_of_variance
Analysis of values below a reference point
random error. Moreover, the confidence intervals found hold for a long-term prediction. For predictions at a shorter run, the confidence intervals U−L and
Cumulative_frequency_analysis
Primary time standard globally used to regulate clocks and time
exact time interval elapsed between two UTC timestamps without consulting a table showing how many leap seconds occurred during that interval. By extension
Coordinated_Universal_Time
Type of statistical probability
to sampling error, and will approach a zero-width interval at the true population parameter as sample size increases, a tolerance interval's size is due
Tolerance_interval
Measure of the shape of a function
is the kurtosis. For a distribution of mass or probability on a bounded interval, the collection of all the moments (of all orders, from 0 to ∞) uniquely
Moment_(mathematics)
Statistic quantifying the association between two events
driver's cell phone use at the time of her/his crash was compared to her/his cell phone use in a control interval at the same time of day one week earlier.
Odds_ratio
Distinction between nominal, ordinal, interval and ratio variables
classification with four levels, or scales, of measurement: nominal, ordinal, interval, and ratio. This framework of distinguishing levels of measurement originated
Level_of_measurement
Network traffic shaping and policing algorithm
burst, etc. The maximum size of this burst, M, can be calculated from the emission interval, T; the maximum jitter tolerance, τ; and the time taken to transmit/receive
Leaky_bucket
Statistics concept
this quotient to find a confidence interval for μ. This t-statistic can be interpreted as "the number of standard errors away from the regression line."
Errors_and_residuals
Sampling from a population which can be partitioned into subpopulations
objective is to improve the precision of the sample by reducing sampling error. It can produce a weighted mean that has less variability than the arithmetic
Stratified_sampling
Fourth standardized moment in statistics
density in the (−3, −0.3) and (0.3, 3) intervals, but with 20 times more density in the (−0.3, 0.3) interval. Also, one cannot infer from the graphs
Kurtosis
Diagnostic plot of binary classifier ability
thought of as a plot of the statistical power as a function of the Type I Error of the decision rule (when the performance is calculated from just a sample
Receiver operating characteristic
Receiver_operating_characteristic
Statistical distribution for dependence between random variables
the marginal probability distribution of each variable is uniform on the interval [0, 1]. Copulas are used to describe / model the dependence (inter-correlation)
Copula_(statistics)
Statistical hypothesis test
pair of measurements. In the simplest case, the measurements are on an interval scale. Then they may be converted to real numbers, and the paired sample
Wilcoxon_signed-rank_test
Concept in Bayesian statistics
In Bayesian statistics, a credible interval is an interval used to characterize a probability distribution. It is defined such that an unobserved parameter
Credible_interval
Value that appears most often in a set of data
mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi). In other words, it is the value that
Mode_(statistics)
Statistic measuring inter-rater agreement for categorical items
investigators. Still, its standard error has been described and is computed by various computer programs. Confidence intervals for Kappa may be constructed
Cohen's_kappa
Statistical measure of association
viewed as the association between two variables as a percentage of their maximum possible variation. φc2 is the mean square canonical correlation between
Cramér's_V
Statistical method for handling multiple comparisons
discovery rate (FDR) is a method of conceptualizing the rate of type I errors in null hypothesis testing when conducting multiple comparisons. FDR-controlling
False_discovery_rate
large number of individually unlikely events that happen in a certain time interval. Related to this distribution are a number of other distributions: the
List of probability distributions
List_of_probability_distributions
Type of statistics
often not met in practice. In particular, it is often assumed that the data errors are normally distributed, at least approximately, or that the central limit
Robust_statistics
Relative measure of dispersion expressed as the ratio of standard deviation to the mean
any meaning for data on an interval scale. For example, most temperature scales (e.g., Celsius, Fahrenheit etc.) are interval scales with arbitrary zeros
Coefficient_of_variation
Measure of linear correlation
sampling distribution of the statistic. A 95% confidence interval for ρ can be defined as the interval spanning from the 2.5th to the 97.5th percentile of
Pearson correlation coefficient
Pearson_correlation_coefficient
Integrated circuit
intervals by programming timer B to count timer A underflows. If both timers were loaded with the maximum interval value of 65,535, a timing interval
MOS_Technology_CIA
Statistical property
estimator gives a lower value of some loss function (particularly mean squared error) compared with unbiased estimators (notably in shrinkage estimators); or
Bias_of_an_estimator
Linear regression model with a single explanatory variable
constructing confidence intervals for linear regression coefficients relies on the normality assumption, which is justified if either: the errors in the regression
Simple_linear_regression
International standards for dates and times
based on the 24-hour timekeeping system, with optional UTC offset, time intervals, and combinations thereof. The standard does not assign specific meaning
ISO_8601
Statistical test that compares goodness of fit
observed data, the two likelihoods should not differ by more than sampling error. Thus the likelihood-ratio test tests whether this ratio is significantly
Likelihood-ratio_test
Generalization of the one-dimensional normal distribution to higher dimensions
distance reduces to the absolute value of the standard score. See also Interval below. In the 2-dimensional nonsingular case ( k = rank ( Σ ) = 2 {\displaystyle
Multivariate normal distribution
Multivariate_normal_distribution
Statistical measure of the magnitude of a phenomenon
calculation of confidence intervals of noncentrality parameters (ncp). A common approach to construct the confidence interval of ncp is to find the critical
Effect_size
Statistic which divides a data set into 100 parts and analyzes it as a percentage
1 {\displaystyle {\frac {1}{N+1}}} is also excluded and would cause an error.) x = f ( p , N ) = { 1 , p ∈ [ 0 , 1 N + 1 ] p ( N + 1 ) , p ∈ ( 1 N
Percentile
General linear model that blends ANOVA and regression
line) and ϵ i j {\displaystyle \epsilon _{ij}} (the associated unobserved error term for the jth observation in the ith group). Under this specification
Analysis_of_covariance
Time series model
for time series data that describes the variance of the current error term or innovation as a function of the actual sizes of the previous time periods'
Autoregressive conditional heteroskedasticity
Autoregressive_conditional_heteroskedasticity
Conditional probability used in Bayesian statistics
various point and interval estimates can be derived, such as the maximum a posteriori (MAP) or the highest posterior density interval (HPDI). But while
Posterior_probability
Objects that appear to be close in the sky
each planet in the interval is expressed as a whole number plus or minus a fraction, and the column "Maximum error" gives the maximum of the fractional
Conjunction_(astronomy)
Distribution of an uncertain quantity
experiment then this prior is updated to the uniform distribution on the interval [0, 1]. This is obtained by applying Bayes' theorem to the data set consisting
Prior_probability
Function of the observed sample results
{\displaystyle 0.05} , and the hypothesis test will indeed have a maximum type-1 error rate of 0.05 {\displaystyle 0.05} . The p-value is widely used in
P-value
Variation in the time intervals between heartbeats
phenomenon of variation in the time interval between heartbeats. It is measured by the variation in the beat-to-beat interval. Other terms used include "cycle
Heart_rate_variability
Network utility used to test the reachability of a host
reply. The program reports errors, packet loss, and a statistical summary of the results, typically including the minimum, maximum, the mean round-trip times
Ping_(networking_utility)
Statistical phenomenon
a score is determined randomly, or that a score has random variation or error, as opposed to being determined by the student's academic ability or being
Regression_toward_the_mean
Measure of variation in statistics
confidence interval) and for practical reasons of measurement (measurement error). The mathematical effect can be described by the confidence interval or CI
Standard_deviation
Statistical model for a binary dependent variable
"If we (somewhat subjectively) regard confidence interval coverage less than 93 percent, type I error greater than 7 percent, or relative bias greater
Logistic_regression
Graphical display of scientific results
these studies (often represented by a square) incorporating confidence intervals represented by horizontal lines. The graph may be plotted on a natural
Forest_plot
Process for preserving information in DRAM
operating, each memory cell must be refreshed repetitively and within the maximum interval between refreshes specified by the manufacturer, usually in the millisecond
Memory_refresh
Nonparametric measure of rank correlation
likelihood approach in de Carvalho and Marques (2012). The confidence interval with level α {\displaystyle \alpha } is based on a Wilks' theorem given
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Estimator for quality of a statistical model
estimation and interval estimation. Point estimation can be done within the AIC paradigm: it is provided by maximum likelihood estimation. Interval estimation
Akaike_information_criterion
Comparison of two distributions
defines a parametric curve where the parameter is the index of the quantile interval. If the two distributions being compared are similar, the points in the
Q–Q_plot
Circular statistical graph of proportionality
reaching the conclusion that pie charts and doughnut charts produce similar error levels when reading them, and square pie charts provide the most accurate
Pie_chart
Family of statistical methods based on sampling of available data
with the purpose of deriving robust estimates of standard errors and confidence intervals of a population parameter like a mean, median, proportion,
Resampling_(statistics)
Statistical interpretation with many tests
Family-wise error rate False positive rate False discovery rate (FDR) False coverage rate (FCR) Interval estimation Post-hoc analysis Experimentwise error rate
Multiple_comparisons_problem
Statistical property
"Robust Standard Errors for Nonlinear Models". Econometrics Beat. Gourieroux, C.; Monfort, A.; Trognon, A. (1984). "Pseudo Maximum Likelihood Methods:
Homoscedasticity and heteroscedasticity
Homoscedasticity_and_heteroscedasticity
Variable representing a random phenomenon
the roll of a die; it may also represent uncertainty, such as measurement error. However, the interpretation of probability is philosophically complicated
Random_variable
Statistical technique to aid interpretation of data
method minimizes the sum of the squared errors in the data series y {\displaystyle y} . Given a set of points in time t {\displaystyle t} and data values
Linear_trend_estimation
Process of mapping a continuous set to a countable set
in the left or right half of the prior double-sized interval) and reduces the mean squared error by a factor of 4 (i.e., 6 dB) based on the Δ 2 / 12 {\displaystyle
Quantization (signal processing)
Quantization_(signal_processing)
Class of statistical models
regression. They proposed an iteratively reweighted least squares method for maximum likelihood estimation (MLE) of the model parameters. MLE remains popular
Generalized_linear_model
Numeric quantity representing the center of a collection of numbers
function f : I → R {\displaystyle f\colon I\rightarrow \mathbb {R} } on an interval I ⊂ R {\displaystyle I\subset \mathbb {R} } and real numbers x 1 , … ,
Mean
Form of causal modeling that fit networks of constructs to data
the model incorporated measurement errors which permitted measurement-error-adjustment, though not necessarily error-free estimation, of effects connecting
Structural_equation_modeling
Probabilistic problem-solving algorithm
Drawing a large number of pseudo-random uniform variables from the interval [0,1] at one time, or once at many different times, and assigning values less than
Monte_Carlo_method
Criterion for model selection
information criterion (AIC). When fitting models, it is possible to increase the maximum likelihood by adding parameters, but doing so may result in overfitting
Bayesian information criterion
Bayesian_information_criterion
Function for integral Fourier-like transform
when a1 = a and b1 = b, Ψ ( t ) {\displaystyle \Psi (t)} has a finite time interval The wavelet transform is often compared with the Fourier transform,
Wavelet
Probability distribution
limited to slightly less than the interval ( − 1 , 1 ) {\displaystyle (-1,1)} . As has been shown, the mode (maximum) m o {\displaystyle m_{o}} of the
Skew_normal_distribution
Statistical measure of how far values spread from their average
( x ) {\displaystyle x^{2}f(x)} is Riemann-integrable on every finite interval [ a , b ] ⊂ R , {\displaystyle [a,b]\subset \mathbb {R} ,} then Var (
Variance
Selection of data points in statistics
yield a fairly accurate indicative result with a 4% margin of error at a 95% confidence interval, ELD reminded the public that sample counts are separate from
Sampling_(statistics)
Process of using data analysis for predicting population data from sample data
parameter estimates. This can be done by calculating standard errors, confidence intervals, or conducting hypothesis tests based on asymptotic theory or
Statistical_inference
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
Male
English
Short form of English Timothy, TIMO means "to honor God." Compare with other forms of Timo.
Boy/Male
Latin
Greatest.
Girl/Female
African, Australian, Swahili
Full of Happiness
Surname or Lastname
English
English : probably from an otherwise unrecorded Old English personal name, cognate with the attested Continental Germanic form Timmo. This is of uncertain origin, perhaps a short form of Dietmar. The personal name Timothy was not in use in England until Tudor times, and is therefore not a likely source of this surname, which is medieval in origin.North German and Dutch : from a short form of the medieval personal name Dietmar.
Male
Finnish
Short form of Finnish Timofei, TIMO means "to honor God." Compare with other forms of Timo.
Boy/Male
Indian
Internal Cleanliness
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Boy/Male
Gujarati, Hindu, Indian, Kannada, Punjabi, Sanskrit, Sikh, Traditional
Protector of All; Protector of God Indra; Gods Friends
Surname or Lastname
English (Northamptonshire)
English (Northamptonshire) : from the Old French form of the Latin personal name Titus. Compare Tito.French : from the Germanic personal name Tito, derived from theudo ‘people’, ‘race’.
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
Sikh
Protector of Indra, Variant of Inder
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Surname or Lastname
English
English : metonymic occupational name for a lime burner or for a whitewasher, from Old English līm ‘lime’.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Surname or Lastname
Cambodian
Cambodian : unexplained.English : variant of Timm.
Female
Greek
(Τίμω) Feminine form of Greek Timon, TIMO means "honor." Compare with masculine Timo.
Male
Greek
(Τίμω) Short form of Greek Timon, TIMO means "honor." Compare with another form of Timo.
Boy/Male
Latin
Greatest.
Male
English
Short form of English Timothy, TIM means "to honor God."
Surname or Lastname
English
English : patronymic from the personal name Timm.
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
Boy/Male
American, British, English
Cord-maker; Surname
Girl/Female
Hindu
Inner beauty, Fame, Desired or longed for
Female
Czechoslovakian
, beloved of God, or, Lord, have mercy.
Girl/Female
Hindu, Indian
Warmth
Girl/Female
Bengali, Hindu, Indian, Modern
Goddess
Male
English
This name became popular as a boy's name after the making of the Star Wars saga by George Lucas, who named his Darth Vader character after the surname of director Ken Annakin, a variant spelling of the Low German female personal name Anniken, a form of Hannah, ANAKIN means "favor; grace."
Boy/Male
Arabic, Muslim
Free Flying Shah Sawar
Boy/Male
French
German.
Girl/Female
Muslim
Princess
Boy/Male
Shakespearean Gaelic Scottish
The Tragedy of Macbeth' A nobleman of Scotland.
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
MAXIMUM TIME-INTERVAL-ERROR
v. t.
To regulate as to time; to accompany, or agree with, in time of movement.
n.
Intermediate time or space; interval.
v. t.
To interpel.
v. i.
To keep or beat time; to proceed or move in time.
n.
Alt. of Intervale
n.
A proper time; a season; an opportunity.
n.
A space between things; a void space intervening between any two objects; as, an interval between two houses or hills.
n.
Unemployed time; interval of leisure; time of intermission; vacation.
n.
A brief space of time between the recurrence of similar conditions or states; as, the interval between paroxysms of pain; intervals of sanity or delirium.
n.
Space of time between any two points or events; as, the interval between the death of Charles I. of England, and the accession of Charles II.
v. t.
To appoint the time for; to bring, begin, or perform at the proper season or time; as, he timed his appearance rightly.
a.
Pertaining to its own affairs or interests; especially, (said of a country) domestic, as opposed to foreign; as, internal trade; internal troubles or war.
a.
Done at an improper time; ill-timed.
v. i.
To pass time; to delay.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
pl.
of Maximum
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
The period at which any definite event occurred, or person lived; age; period; era; as, the Spanish Armada was destroyed in the time of Queen Elizabeth; -- often in the plural; as, ancient times; modern times.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
An intervening period of time; interval.