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Journals / Journal of New Results in Science / 2016 / Cilt: 5 - Sayı: 11

New Information Inequalities in Terms of Variational Distance and its Application

K. C. JAİN
Praphull CHHABRA
Pages
30–40
Publication Date
2016-08-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Asymptotic approximation on new generalized f- divergence is done as well.

📌 3 Key Takeaways

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Objective & Hypothesis:In this work, new information inequalities are obtained and characterized on new generalized f- divergence (introduced by Jain and Saraswat (2012)) in terms of the Variational distance and these inequalities have been taken for evaluating some new relations among well known divergences.
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Key Findings & Data:These new relations have been verified numerically by considering two discrete probability distributions: Binomial and Poisson.
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Conclusion & Impact:Asymptotic approximation on new generalized f- divergence is done as well.
🔬Design:Research Article
📍Scope:2012 Verileri
⚙️Variables:Variational distance · new information inequalities · bounded variation

Abstract

In this work, new information inequalities are obtained and characterized on new generalized f- divergence (introduced by Jain and Saraswat (2012)) in terms of the Variational distance and these inequalities have been taken for evaluating some new relations among well known divergences. These new relations have been verified numerically by considering two discrete probability distributions: Binomial and Poisson. Asymptotic approximation on new generalized f- divergence is done as well.

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Cite This Article

JAİN, K. C., CHHABRA, P. (2016). New Information Inequalities in Terms of Variational Distance and its Application. Journal of New Results in Science, Cilt: 5 - Sayı: 11, 30–40. https://ajindex.com/articles/777899

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