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Distance between two statistical objects
probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two random variables
Statistical_distance
Separation between two points
geometry, statistical distances measure the degree of difference between two probability distributions. There are many kinds of statistical distances, typically
Distance
Concept in probability theory
variation distance is a statistical distance between probability distributions, and is sometimes called the statistical distance, statistical difference
Total variation distance of probability measures
Total_variation_distance_of_probability_measures
Study of collection and analysis of data
or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups
Statistics
Statistical distance measure
The Mahalanobis distance is a measure of the distance between a point P {\displaystyle P} and a probability distribution D {\displaystyle D} , introduced
Mahalanobis_distance
Similarity of two probability distributions
amount of overlap between two statistical samples or populations. It is not a metric, despite being named a "distance", since it does not obey the triangle
Bhattacharyya_distance
Mathematical statistics distance measure
∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel Q)} , is a type of statistical distance: a measure of how much an approximating probability distribution
Kullback–Leibler_divergence
Categorization of data using statistics
When classification is performed by a computer, statistical methods are normally used to develop the algorithm. Often, the individual observations are
Statistical_classification
Method for fitting a statistical model to data
Minimum-distance estimation (MDE) is a conceptual method for fitting a statistical model to data, usually the empirical distribution. Often-used estimators
Minimum-distance_estimation
Distance measure in statistics
In statistics, Gower's distance between two mixed-type objects is a similarity measure that can handle different types of data (binary, ordinal, continuous)
Gower's_distance
Metric used in probability and statistics
function. The Hellinger distance H ( P , Q ) {\displaystyle H(P,Q)} and the total variation distance (or statistical distance) δ ( P , Q ) {\displaystyle
Hellinger_distance
Statistical measure
variables. Distance correlation can be used to perform a statistical test of dependence with a permutation test. One first computes the distance correlation
Distance_correlation
Deep learning generative model to encode data representation
replace Kullback–Leibler divergence (KL-D) with various statistical distances, see "Statistical distance VAE variants" below. From the point of view of probabilistic
Variational_autoencoder
Measure of the influence of a data point in regression analysis
In statistics, Cook's distance or Cook's D is a commonly used estimate of the influence of a data point when performing a least-squares regression analysis
Cook's_distance
Statistical property quantifying how much a collection of data is spread out
distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range
Statistical_dispersion
Method of statistical inference
A statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis
Statistical_hypothesis_test
Distance between probability distributions
Energy distance is a statistical distance between probability distributions. If X and Y are independent random vectors in Rd with cumulative distribution
Energy_distance
Type of average of a collection of numbers
Meeting of the American Statistical Association, Colorado State University. pp. 68–69. Medhi, Jyotiprasad (1992). Statistical Methods: An Introductory
Arithmetic_mean
Process of using data analysis for predicting population data from sample data
Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis
Statistical_inference
Metric to compare ordering
The Kendall tau distance or Kendall tau rank distance is a metric (distance function) that counts the number of pairwise disagreements between two ranking
Kendall_tau_distance
Complete set of items that share at least one property in common
similar items which is of interest for some question or experiment. A statistical population can be a group of existing objects (e.g. the set of all stars
Statistical_population
Distance between probability distributions
In computer science, the earth mover's distance (EMD) is a measure of dissimilarity between two frequency distributions, densities, or measures, over a
Earth_mover's_distance
Method of quality control
Statistical process control (SPC) or statistical quality control (SQC) is the application of statistical methods to monitor and control the quality of
Statistical_process_control
Concept in inferential statistics
In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis
Statistical_significance
Inequality in information theory
Pinsker, is an inequality that bounds the total variation distance (or statistical distance) in terms of the Kullback–Leibler divergence. The inequality
Pinsker's_inequality
Type of statistics
A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information
Descriptive_statistics
Measure of similarity
Normalized compression distance (NCD) is a way of measuring the similarity between two objects, be it two documents, two letters, two emails, two music
Normalized compression distance
Normalized_compression_distance
Type of mathematical model
A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from
Statistical_model
Numerical measure of a statistical relationship between variables
dependence Correlation ratio Distance correlation Goodness of fit, any of several measures that measure how well a statistical model fits observations by
Correlation_coefficient
Length of a line segment
In mathematics, the Euclidean distance between two points in a Euclidean space is the length of the line segment between them. It can be calculated from
Euclidean_distance
Quality of a numerical sequence of having no recognizable patterns
results of an ideal dice roll or the digits of π exhibit statistical randomness. Statistical randomness does not necessarily imply "true" randomness,
Statistical_randomness
Statistical tests are used to test the fit between a hypothesis and the data. Choosing the right statistical test is not a trivial task. The choice of
List_of_statistical_tests
Statistical relationship
In statistics, correlation is a type of statistical relationship between two random variables or bivariate data. It usually refers to the extent to which
Correlation
Single measure of some attribute of a sample
statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes
Statistic
Test of normality in frequentist statistics
sample x1, ..., xn came from a normally distributed population. The test statistic is W = ( ∑ i = 1 n a i x ( i ) ) 2 ∑ i = 1 n ( x i − x ¯ ) 2 , {\displaystyle
Shapiro–Wilk_test
Quantity that indexes a parametrized family of probability distributions
and variance can generally still be regarded as statistical parameters of the population, and statistical procedures can still attempt to make inferences
Statistical_parameter
Measure of the shape of a function
p. 209. ISBN 1009568353. Casella, George; Berger, Roger L. (2002). Statistical Inference (2 ed.). Pacific Grove: Duxbury. ISBN 0-534-24312-6. Ballanda
Moment_(mathematics)
Statistical value representing the center or average of a distribution
tendency") Dodge, Y. (2003) The Oxford Dictionary of Statistical Terms, OUP for International Statistical Institute. ISBN 0-19-920613-9 (entry for "central
Central_tendency
Numeric quantity representing the center of a collection of numbers
which are defined in relation to some unit, as in the case of speed (i.e., distance per unit of time): x ¯ = n ( ∑ i = 1 n 1 x i ) − 1 {\displaystyle {\bar
Mean
Measure of the joint variability
Weisstein, Eric W. "Covariance". MathWorld. Kim, Hae-Young (February 2018). "Statistical notes for clinical researchers: covariance and correlation". Restorative
Covariance
Ballistics measure of a weapon system's precision
American Statistical Association. 61 (315): 618–632. doi:10.1080/01621459.1966.10480893. JSTOR 2282775. Grubbs, Frank E. (1964). Statistical measures
Circular_error_probable
Set of statistical processes for estimating the relationships among variables
In statistical modeling, regression analysis is a statistical method for estimating the relationship between a dependent variable (often called the outcome
Regression_analysis
Statistical distance measure
177–183 (1975) MR 0456936 Braunstein, Samuel; Caves, Carlton (1994). "Statistical distance and the geometry of quantum states". Physical Review Letters. 72
Jensen–Shannon_divergence
How many standard deviations apart from the mean an observed datum is
are in this article. Other equivalent terms in use include z-value, z-statistic, normal score, standardized variable and pull in high energy physics.
Standard_score
Test statistic
is statistical evidence that the error terms are positively autocorrelated. If d > d U , α {\textstyle d>d_{U,\alpha }} , there is no statistical evidence
Durbin–Watson_statistic
Measure of statistical dispersion
Interdecile range – Statistical measure Midhinge Probable error – Measure of statistical dispersion Robust measures of scale – Statistical indicators of the
Interquartile_range
Function that measures dissimilarity between two probability distributions
kind of statistical distance: a binary function which establishes the separation from one probability distribution to another on a statistical manifold
Divergence_(statistics)
Images used to represent statistical data visually
Statistical graphics, also known as statistical graphical techniques, are graphics used in the field of statistics for data visualization. Whereas statistics
Statistical_graphics
Statistic which divides a data set into 100 parts and analyzes it as a percentage
(November 1996). "Sample Quantiles in Statistical Packages". American Statistician. 50 (4). American Statistical Association: 361–365. doi:10.2307/2684934
Percentile
Middle quantile of a data set or probability distribution
Statistical property Central tendency – Statistical value representing the center or average of a distribution Concentration of measure – Statistical
Median
Distance function defined between probability distributions
In mathematics, the Wasserstein distance or Kantorovich–Rubinstein metric is a distance function defined between probability distributions on a given
Wasserstein_metric
Gathering information for analysis
Observational study Sampling (statistics) Scientific data archiving Statistical survey Survey data collection Qualitative method Quantitative method
Data_collection
Statistical test
(2013). "Energy statistics: A class of statistics based on distances". Journal of Statistical Planning and Inference. 143 (8): 1249–1272. doi:10.1016/j
Cramér–von_Mises_criterion
Metric on a smooth statistical manifold
a smooth statistical manifold, i.e., a smooth manifold whose points are probability distributions. It can be used to calculate the distance between probability
Fisher_information_metric
Measure of difference between two points
values – the resulting distance is a statistical distance. The most basic Bregman divergence is the squared Euclidean distance. Bregman divergences are
Bregman_divergence
Mathematical function for the probability a given outcome occurs in an experiment
1/2+1/4+1/8+\dots =1} . Well-known discrete probability distributions used in statistical modeling include the Poisson distribution, the Bernoulli distribution
Probability_distribution
Approximation method in statistics
chi-squared statistic, based on the minimized value of the residual sum of squares (objective function), S. The denominator, n − m, is the statistical degrees
Least_squares
distribution The Boltzmann distribution, a discrete distribution important in statistical physics which describes the probabilities of the various discrete energy
List of probability distributions
List_of_probability_distributions
Processes that maintain quality at a constant level
Walter A. (Walter Andrew); Deming, W. Edwards (William Edwards) (1939). Statistical method from the viewpoint of quality control. Washington: The Graduate
Quality_control
Fundamental theorem in probability theory and statistics
concept in probability theory because it implies that probabilistic and statistical methods that work for normal distributions can be applicable to many
Central_limit_theorem
Statistical hypothesis test
An F-test is a statistical test that compares variances. It is used to determine if the variances of two samples, or if the ratios of variances among
F-test
Method of logical reasoning
non-random and the sample size is very small. Statistical generalizations are also called statistical projections and sample projections. An anecdotal
Inductive_reasoning
Measure of covariance of components of a random vector
random functions, the map shows statistical relations between different regions of the random functions. Statistically independent regions of the functions
Covariance_matrix
Kth smallest value in a statistical sample
order statistic of a statistical sample is equal to its kth-smallest value. Given a sample of size n {\displaystyle n} , the kth order statistic is denoted
Order_statistic
Probability distribution
plays a role in a number of widely used statistical analyses, including Student's t-test for assessing the statistical significance of the difference between
Student's_t-distribution
Type of numerical analysis
statistical inference. New York: Wiley. ISBN 978-0-471-91787-8. Barlow, R. E.; Bartholomew, D. J.; Bremner, J. M.; Brunk, H. D. (1972). Statistical inference
Isotonic_regression
Concept in natural language processing
is a metric defined over a set of documents or terms, where the idea of distance between items is based on the likeness of their meaning or semantic content[citation
Semantic_similarity
Value that appears most often in a set of data
that is most likely to be sampled. Like the statistical mean and median, the mode is a summary statistic about the central tendency of a random variable
Mode_(statistics)
Statistical test comparing two probability distributions
Smirnov, who developed it in the 1930s. The Kolmogorov–Smirnov statistic quantifies a distance between the empirical distribution function of the sample and
Kolmogorov–Smirnov_test
Mathematical relation assigning a probability event to a cost
Hinge loss Scoring rule Statistical risk Hastie, Trevor; Tibshirani, Robert; Friedman, Jerome H. (2001). The Elements of Statistical Learning. Springer. p
Loss_function
Table that displays the frequency of variables
difference between the two proportions can be assessed with a variety of statistical tests including Pearson's chi-squared test, the G-test, Fisher's exact
Contingency_table
Generalization of the one-dimensional normal distribution to higher dimensions
}-{\boldsymbol {\mu }})}}} is known as the Mahalanobis distance, which represents the distance of the test point x {\displaystyle {\mathbf {x} }} from
Multivariate normal distribution
Multivariate_normal_distribution
Conditional probability used in Bayesian statistics
probability distribution usually describes the epistemic uncertainty about statistical parameters conditional on a collection of observed data. From a given
Posterior_probability
Experiment methodology
concepts such as statistical significance and the null hypothesis, which are used in statistical hypothesis testing. Modern statistical methods for assessing
A/B_testing
Riemannian metric on the space of mixed states of a quantum system
_{2})=\arccos {\sqrt {F(\rho _{1},\rho _{2})}},} which is a measure of the statistical distance between quantum states. When both density operators are diagonal
Bures_metric
Sampling from a population which can be partitioned into subpopulations
sampling from a population which can be partitioned into subpopulations. In statistical surveys, when subpopulations within an overall population vary, it could
Stratified_sampling
Statistical conclusion validity Statistical consultant Statistical deviance – see deviance (statistics) Statistical dispersion Statistical distance Statistical
List_of_statistics_articles
Criterion for model selection
Konishi, Sadanori; Kitagawa, Genshiro (2008). Information criteria and statistical modeling. Springer. ISBN 978-0-387-71886-6. Botev, Zdravko I.; Kroese
Bayesian information criterion
Bayesian_information_criterion
Selection of data points in statistics
individuals from within a statistical population to estimate characteristics of the whole population. The subset, called a statistical sample (or sample, for
Sampling_(statistics)
Concept in statistics
expressed in the same units as the data. The range provides an indication of statistical dispersion. Robust measures of range include the interdecile range and
Range_(statistics)
Number of occurrences in an experiment or study
for all classes. The classes all taken together must cover at least the distance from the lowest value (minimum) in the data to the highest (maximum) value
Frequency_(statistics)
Statistics named for Richard von Mises
Wassily Hoeffding in 1948. A V-statistic is a statistical function (of a sample) defined by a particular statistical functional of a probability distribution
V-statistic
Distribution function associated with the empirical measure of a sample
0.} The sup-norm in this expression is called the Kolmogorov–Smirnov statistic for testing the goodness-of-fit between the empirical distribution F ^
Empirical distribution function
Empirical_distribution_function
Statistical modeling method
Jeremy M. G. (1989). "Robust Statistical Modeling Using the t Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896
Linear_regression
Data visualization
display variation in samples of a statistical population without making any assumptions of the underlying statistical distribution (though Tukey's box
Box_plot
Method of estimating the parameters of a statistical model
Young, G. A.; Smith, R. L. (2005). Essentials of Statistical Inference. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge: Cambridge
Maximum a posteriori estimation
Maximum_a_posteriori_estimation
Statistic of a given score
percentile ranks is the same. For example, 50 − 25 = 25 is not the same distance as 60 − 35 = 25 because of the bell-curve shape of the distribution. Some
Percentile_rank
Variable representing a random phenomenon
equivalence is as strong as actual equality. It is associated to the following distance: d ∞ ( X , Y ) = ess sup ω | X ( ω ) − Y ( ω ) | , {\displaystyle d_{\infty
Random_variable
Statistical measure of association
Korean Statistical Society. 42 (3): 323–328. doi:10.1016/j.jkss.2012.10.002. Bartlett, Maurice S. (1937). "Properties of Sufficiency and Statistical Tests"
Cramér's_V
Statistic measuring inter-rater agreement for categorical items
average". Statistical Methodology. 8 (6): 473–484. doi:10.1016/j.stamet.2011.06.002. hdl:1887/18062. Online Kappa Calculator Cohen's Kappa Statistic for Measuring
Cohen's_kappa
Term in statistical hypothesis testing
true effect or association. Statistical testing uses data from samples to assess, or make inferences about, a statistical population. For example, we
Power_(statistics)
Statistical test
(named after Abraham Wald) assesses constraints on statistical parameters based on the weighted distance between the unrestricted estimate and its hypothesized
Wald_test
Frequency with which an engineered system or component fails
railways and trucking, is "mean distance between failures" (MDBF) - allowing maintenance to be scheduled based on distance travelled, rather than at regular
Failure_rate
Person who works with theoretical or applied statistics
common to combine statistical knowledge with expertise in other subjects, and statisticians may work as employees or as statistical consultants. According
Statistician
Semantic similarity measure
The normalized Google distance (NGD) is a semantic similarity measure derived from the number of hits returned by the Google search engine for a given
Normalized_Google_distance
Measure of the asymmetry of random variables
probability one. Thus there is a simple consistent statistical test of diagonal symmetry based on the sample distance skewness: dSkew n ( X ) := 1 − ∑ i , j ‖
Skewness
Type of statistical model
reduction in the complexity of the related statistical theory is possible. For the regression case, the statistical model is as follows. Given a (random) sample
Linear_model
Theory of statistics
applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy
Statistical_theory
Class of statistical tests
making a judgment on any underlying variable. In frequentist statistics statistical hypothesis testing, data are tested against the null hypothesis that
Normality_test
Individual entity for statistical purposes
made, in some cases, a unit can be further decomposed as a statistical assembly. Many statistical analyses use quantitative data that have units of measurement
Statistical_unit
STATISTICAL DISTANCE
STATISTICAL DISTANCE
Surname or Lastname
English
English : habitational name from any of various places called Barwick, for example in Norfolk, Somerset, and West Yorkshire, from Old English bere ‘barley’ + wīc ‘outlying farm’, i.e. a granary lying some distance away from the main village.North German : habitational name from a place called Berwick, near Soest, in Westphalia.
Girl/Female
Muslim/Islamic
Some distance
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Girl/Female
Muslim/Islamic
Some distance
Boy/Male
Indian
Distance
Girl/Female
Indian
Some distance
Girl/Female
Indian
Some distance
Girl/Female
Muslim
Some distance
Girl/Female
Arabic, Muslim, Sindhi
Some Distance
Girl/Female
Hindu
A unit of measure for long distances, A plan
Girl/Female
Tamil
A unit of measure for long distances, A plan
Girl/Female
Arabic, Indian, Muslim, Punjabi, Sikh
One who Meets; One with Strong Intentions; One with Decisiveness; Distance; Gap
Boy/Male
Arabic
Distance
Boy/Male
Assamese, Gujarati, Hindu, Indian, Kannada
Distance Between Two Generation; Firm in Battle; Ever Lasting
Girl/Female
Muslim
Some distance
Girl/Female
Muslim
Some distance
Girl/Female
Muslim
Some distance
Female
Japanese
(é™, é¥, æ‚ , é¼) Japanese name HARUKA means "distance."
STATISTICAL DISTANCE
STATISTICAL DISTANCE
Boy/Male
Australian, Czech, Czechoslovakian, German, Polish, Slavic
God's Glory
Girl/Female
Hindu, Indian, Traditional
Moral
Girl/Female
British, English, German
Noted Protector; Famous Guardian
Boy/Male
Hindu, Indian, Traditional
King
Girl/Female
Arabic, Muslim, Sindhi
Name of a Female Companion
Surname or Lastname
English
English : habitational name from Mattingley in Hampshire, named in Old English as Mattinglēah ‘woodland clearing (lēah) associated with (-inga) a man called Matta’.
Girl/Female
Indian
Wise, Sensible
Girl/Female
Tamil
Lathiksha | லாதீகà¯à®·à®¾Â
Male
Italian
Italian form of Roman Latin Marcellinus, MARCELLINO means "defense" or "of the sea."
Boy/Male
Hindu
STATISTICAL DISTANCE
STATISTICAL DISTANCE
STATISTICAL DISTANCE
STATISTICAL DISTANCE
STATISTICAL DISTANCE
v. t.
To outstrip by as much as a distance (see Distance, n., 3); to leave far behind; to surpass greatly.
a.
Alt. of Statistical
n.
The act of forming into a table or tables; as, the tabulation of statistics.
n.
A book published yearly; any annual report or summary of the statistics or facts of a year, designed to be used as a reference book; as, the Congregational Yearbook.
n.
An official registration of the number of the people, the value of their estates, and other general statistics of a country.
n.
See Statistics, 2.
adv.
In the way of statistics.
a.
Of or pertaining to statistics; as, statistical knowledge, statistical tabulation.
v. t.
To place at a distance or remotely.
n.
One versed in statistics; one who collects and classifies facts for statistics.
n.
A book or table, containing a calendar of days, and months, to which astronomical data and various statistics are often added, such as the times of the rising and setting of the sun and moon, eclipses, hours of full tide, stated festivals of churches, terms of courts, etc.
v. t.
To cause to appear as if at a distance; to make seem remote.
n.
An account, or formal report, of an action performed, of a duty discharged, of facts or statistics, and the like; as, election returns; a return of the amount of goods produced or sold; especially, in the plural, a set of tabulated statistics prepared for general information.
n.
The science which has to do with the collection and classification of certain facts respecting the condition of the people in a state.
n.
Classified facts respecting the condition of the people in a state, their health, their longevity, domestic economy, arts, property, and political strength, their resources, the state of the country, etc., or respecting any particular class or interest; especially, those facts which can be stated in numbers, or in tables of numbers, or in any tabular and classified arrangement.
a.
Arranged in a schedule; as, tabular statistics.
n.
A statistician.
n.
Vital statistics.
n.
The branch of mathematics which studies methods for the calculation of probabilities.