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

In mathematics and statistics, an asymptotic distribution is a probability distribution that is in a sense the limiting distribution of a sequence of...

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that...

Oxford Dictionary of Statistics (2nd ed.). OUP. ISBN 978-0-19-954145-4. Vaart, A. W. van der (1998-10-13). Asymptotic Statistics. Cambridge University...

Jennrich, Robert I. (1969). "Asymptotic Properties of Non-Linear Least Squares Estimators". The Annals of Mathematical Statistics. 40 (2): 633–643. doi:10...

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

In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the...

probability theory. Previous versions of the theorem date back to 1811, but in its modern form it was only precisely stated as late as 1920. In statistics, the...

In the theory of probability, the Glivenko–Cantelli theorem (sometimes referred to as the fundamental theorem of statistics), named after Valery Ivanovich...

In probability theory, the Cornish–Fisher expansion is an asymptotic expansion used to approximate the quantiles of a probability distribution based on...

In probability theory, the law of the iterated logarithm describes the magnitude of the fluctuations of a random walk. The original statement of the law...

to the development of asymptotic theory in mathematical statistics. He is best known for the general concepts of local asymptotic normality and contiguity...

In statistics, local asymptotic normality is a property of a sequence of statistical models, which allows this sequence to be asymptotically approximated...

The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications...

In probability theory, Slutsky's theorem extends some properties of algebraic operations on convergent sequences of real numbers to sequences of random...

decision theory, their application can be controversial Mathematics portal Asymptotic theory (statistics) Shao, Jun (2008-02-03). Mathematical Statistics. Springer...

In the theory of probability and statistics, the Dvoretzky–Kiefer–Wolfowitz–Massart inequality (DKW inequality) provides a bound on the worst case distance...

distribution. Asymptotic efficiency requires Consistency (statistics), asymptotically normal distribution of the estimator, and an asymptotic variance-covariance...

theory in statistics, stochastic equicontinuity is a property of estimators (estimation procedures) that is useful in dealing with their asymptotic behaviour...

to the asymptotic normality and to the variance (in finite samples) of such quantities. The theory has been used to study more general statistics as well...

error, consistency, asymptotic distribution, etc. The construction and comparison of estimators are the subjects of the estimation theory. In the context...

theory) Asymptotic normality – redirects to Asymptotic distribution Asymptotic relative efficiency – redirects to Efficiency (statistics) Asymptotic theory...

In the mathematical theory of random processes, the Markov chain central limit theorem has a conclusion somewhat similar in form to that of the classic...

V-statistics are a class of statistics named for Richard von Mises who developed their asymptotic distribution theory in a fundamental paper in 1947....

obtained three asymptotic limits describing the distributions of extremes assuming independent variables. E.J. Gumbel (1958) codified this theory. These results...

In probability theory, the central limit theorem states conditions under which the average of a sufficiently large number of independent random variables...

In information theory, the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental...

analytical form or an asymptotic theory (e.g., an applicable central limit theorem) to help estimate the distribution of the statistics of interest. This...

The BE distribution can be derived also from thermal field theory. R. B. Dingle, Asymptotic Expansions: Their Derivation and Interpretation, Academic Press...

Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical...