IJPAM: Volume 84, No. 5 (2013)

RELATION BETWEEN INFORMATION MEASURES
AND CHI-SQUARE STATISTIC

Om Parkash1, Mukesh2
1,2Department of Mathematics
Guru Nanak Dev University
Amritsar, 143005, INDIA


Abstract. In the existing literature of Information theory and Statistics, there are many well known information theoretic measures, each with its own merits, limitations and areas of application. In the present communications, we have provided the applications of parametric information theoretic measures to one of the disciplines of Statistics. By using optimization principles, we have proved that the information contents both for entropy and divergence are distributed asymptotically as Chi-square statistic.

Received: October 17, 2012

AMS Subject Classification: 94A

Key Words and Phrases: parametric entropy, optimization principles, parametric cross entropy, Chi-square statistic

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DOI: 10.12732/ijpam.v84i5.5 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 5