Inequalities in information theory information

Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear. Consider...

sample in information theory, inequalities in information theory describes various inequalities specific to that context. in sociology, Information Inequality...

Friedrichs's inequality Gagliardo–Nirenberg interpolation inequality Gårding's inequality Grothendieck inequality Grunsky's inequalities Hanner's inequalities Hardy's...

relations or inequalities found in information theory. According to Gregory Chaitin, it is "the result of putting Shannon's information theory and Turing's...

{a}{b}}+k\right)} . The log sum inequality can be used to prove inequalities in information theory. Gibbs' inequality states that the Kullback-Leibler...

Information theory is the mathematical study of the quantification, storage, and communication of information. The field was originally established by...

In probability theory, particularly information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual...

In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two...

In information theory, the entropy power inequality (EPI) is a result that relates to so-called "entropy power" of random variables. It shows that the...

In probability theory, concentration inequalities provide mathematical bounds on the probability of a random variable deviating from some value (typically...

generalizations of Bell's inequality". www.tau.ac.il. Maximal violation of Bell's inequalities is generic in quantum field theory, Summers and Werner (1987)...

measure of income inequality in a population. It is derived from information theory as a measure of redundancy in data. In information theory a measure of...

ISBN 978-0-262-56169-3, OCLC 804123877 R. W. Yeung, "On entropy, information inequalities, and Groups." PS Information theory Measure theory Set theory...

Feminist theory is the extension of feminism into theoretical, fictional, or philosophical discourse. It aims to understand the nature of gender inequality. It...

(link) Cover, Thomas M.; Thomas, J. A. (1988). "Determinant inequalities via information theory". SIAM Journal on Matrix Analysis and Applications. 9 (3):...

In probability theory and information theory, the variation of information or shared information distance is a measure of the distance between two clusterings...

of joint entropy and are thus related by the corresponding inequalities. Many inequalities satisfied by entropic vectors can be derived as linear combinations...

Cumulative inequality theory or cumulative disadvantage theory is the systematic explanation of how inequalities develop. The theory was initially developed...

racial segregation. The Theil index TT is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed...

or the expected value of the observed information. The role of the Fisher information in the asymptotic theory of maximum-likelihood estimation was emphasized...