within applications of statistics. The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions...

Statistical learning theory deals with the statistical inference problem of finding a predictive function based on data. Statistical learning theory has led to...

Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution. Inferential statistical analysis...

or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups...

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic...

In theoretical physics, statistical field theory (SFT) is a theoretical framework that describes systems with many degrees of freedom, particularly near...

A statistical model is a mathematical model that embodies a set of statistical assumptions concerning the generation of sample data (and similar data from...

out that the two central procedures of sampling-distribution-based statistical-theory, namely hypothesis testing and parameter estimation, are special cases...

A statistical hypothesis test is a method of statistical inference used to decide whether the data provide sufficient evidence to reject a particular hypothesis...

of statistical analysis is to produce information about some chosen population. In statistical inference, a subset of the population (a statistical sample)...

the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics...

distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range...

Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations...

A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information...

settings. Misuse of statistics Robust statistics Statistical hypothesis testing Statistical theory Kruskall, 1988 Koch G. G., Gillings D. B. (2006),...

econometrics is the multiple linear regression model. Econometric theory uses statistical theory and mathematical statistics to evaluate and develop econometric...

and variance can generally still be regarded as statistical parameters of the population, and statistical procedures can still attempt to make inferences...

Generalizability theory, or G theory, is a statistical framework for conceptualizing, investigating, and designing reliable observations. It is used to...

statistics, probability theory, and information theory, a statistical distance quantifies the distance between two statistical objects, which can be two...

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...

numbers and laws to psychology. Statistical methods for psychology include development and application statistical theory and methods for modeling psychological...

In statistical hypothesis testing, a result has statistical significance when a result at least as "extreme" would be very infrequent if the null hypothesis...

statistics and in particular statistical theory, unbiased estimation of a standard deviation is the calculation from a statistical sample of an estimated value...

- loss functions weren't explicitly mentioned yet]. Taguchi knew statistical theory mainly from the followers of Ronald A. Fisher, who also avoided loss...

When classification is performed by a computer, statistical methods are normally used to develop the algorithm. Often, the individual observations are...

statistics, asymptotic theory, or large sample theory, is a framework for assessing properties of estimators and statistical tests. Within this framework...

and Hall/CRC. ISBN 978-1-4398-4095-5. Berger, James O (1985). Statistical Decision Theory and Bayesian Analysis. Springer Series in Statistics (Second ed...

statistics. The research of Anders and Per Martin-Löf has influenced statistical theory, especially concerning exponential families, the expectation–maximization...

statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose. Statistical purposes...

"modern, or unBayesian, statistical theory" ("The Theory of Statistical Decision," Journal of the American Statistical Association, 46, p. 58.). Soon after...