IJPAM: Volume 84, No. 5 (2013)
AND CHI-SQUARE STATISTIC
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
Download paper from here.
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