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...

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

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...

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 information theory, Pinsker's inequality, named after its inventor Mark Semenovich Pinsker, is an inequality that bounds the total variation distance...

In information theory, the entropy of a random variable is the average level of "information", "surprise", or "uncertainty" inherent to the variable's...

In information theory, Gibbs' inequality is a statement about the information entropy of a discrete probability distribution. Several other bounds on...

violate Bell inequalities; which is to say that the results of these experiments are incompatible with any local hidden-variable theory. The exact nature...

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

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

Redundancy may be implied by other inequalities or by inequalities in information theory (a.k.a. Shannon type inequalities). A recently developed open-source...

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

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)...

Shearer's inequality or also Shearer's lemma, in mathematics, is an inequality in information theory relating the entropy of a set of variables to the...

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of...

constant. The defining expression for entropy in the theory of information established by Claude E. Shannon in 1948 is of the form: H = − ∑ i p i log b ⁡...

divide creates a division and inequality around access to information and resources. In the Information Age in which information and communication technologies...

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...

In information theory, the Bretagnolle–Huber inequality bounds the total variation distance between two probability distributions P {\displaystyle P}...

in terms of the product of the vector norms. It is considered one of the most important and widely used inequalities in mathematics. The inequality for...

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

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

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

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...

Probability: Theory and Examples (5th ed.). Cambridge University Press. ISBN 978-1108473682. Niculescu, Constantin P. "Integral inequalities", P. 12. p...