New Information Inequalities in Terms of Variational Distance and its Application

K. C. Jain; Praphull Chhabra

EN

New Information Inequalities in Terms of Variational Distance and its Application

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.

Keywords

Variational distance,new information inequalities,bounded variation,convex and normalized function,bounds of divergences,numerical veri- fication,asymptotic approximation.

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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

K. C. Jain This is me

Praphull Chhabra This is me

Publication Date

August 31, 2016

Submission Date

October 31, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 5 Number: 11

IZ

https://izlik.org/JA37BW36FZ

APA

Jain, K. C., & Chhabra, P. (2016). New Information Inequalities in Terms of Variational Distance and its Application. Journal of New Results in Science, 5(11), 30-40. https://izlik.org/JA37BW36FZ

AMA

1.Jain KC, Chhabra P. New Information Inequalities in Terms of Variational Distance and its Application. JNRS. 2016;5(11):30-40. https://izlik.org/JA37BW36FZ

Chicago

Jain, K. C., and Praphull Chhabra. 2016. “New Information Inequalities in Terms of Variational Distance and Its Application”. Journal of New Results in Science 5 (11): 30-40. https://izlik.org/JA37BW36FZ.

EndNote

Jain KC, Chhabra P (October 1, 2016) New Information Inequalities in Terms of Variational Distance and its Application. Journal of New Results in Science 5 11 30–40.

IEEE

[1]K. C. Jain and P. Chhabra, “New Information Inequalities in Terms of Variational Distance and its Application”, JNRS, vol. 5, no. 11, pp. 30–40, Oct. 2016, [Online]. Available: https://izlik.org/JA37BW36FZ

ISNAD

Jain, K. C. - Chhabra, Praphull. “New Information Inequalities in Terms of Variational Distance and Its Application”. Journal of New Results in Science 5/11 (October 1, 2016): 30-40. https://izlik.org/JA37BW36FZ.

JAMA

1.Jain KC, Chhabra P. New Information Inequalities in Terms of Variational Distance and its Application. JNRS. 2016;5:30–40.

MLA

Jain, K. C., and Praphull Chhabra. “New Information Inequalities in Terms of Variational Distance and Its Application”. Journal of New Results in Science, vol. 5, no. 11, Oct. 2016, pp. 30-40, https://izlik.org/JA37BW36FZ.

Vancouver

1.K. C. Jain, Praphull Chhabra. New Information Inequalities in Terms of Variational Distance and its Application. JNRS [Internet]. 2016 Oct. 1;5(11):30-4. Available from: https://izlik.org/JA37BW36FZ