asymptotic information
1Information geometry — In mathematics and especially in statistical inference, information geometry is the study of probability and information by way of differential geometry. It reached maturity through the work of Shun ichi Amari in the 1980s, with what is currently …
2Asymptotic equipartition property — In information theory the asymptotic equipartition property (AEP) is a general property of the output samples of a stochastic source. It is fundamental to the concept of typical set used in theories of compression.Roughly speaking, the theorem… …
3Information theory — Not to be confused with Information science. Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Information theory was developed by Claude E. Shannon to find fundamental… …
4Algorithmic information theory — is a subfield of information theory and computer science that concerns itself with the relationship between computation and information. According to Gregory Chaitin, it is the result of putting Shannon s information theory and Turing s… …
5Quantities of information — A simple information diagram illustrating the relationships among some of Shannon s basic quantities of information. The mathematical theory of information is based on probability theory and statistics, and measures information with several… …
6Deviance information criterion — The deviance information criterion (DIC) is a hierarchical modeling generalization of the AIC (Akaike information criterion) and BIC (Bayesian information criterion, also known as the Schwarz criterion). It is particularly useful in Bayesian… …
7Inequalities in information theory — Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear.hannon type inequalitiesConsider a finite collection of finitely (or at most countably) supported… …
8Bayesian information criterion — In statistics, in order to describe a particular dataset, one can use non parametric methods or parametric methods. In parametric methods, there might be various candidate models with different number of parameters to represent a dataset. The… …
9Asymptotology — articleissues essay = September 2008 sections = September 2008 technical = September 2008 citations = September 2008Asymptotology – is the art of handling with applied mathematical systems in limiting cases (M.Kruskal); is the science about the… …
10Hardy–Littlewood circle method — In mathematics, the Hardy–Littlewood circle method is one of the most frequently used techniques of analytic number theory. It is named for G. H. Hardy and J. E. Littlewood, who developed it in a series of papers on Waring s problem. Contents 1… …
