Volume no :19, Issue no: 1, March (2018)

Journal of Statistics: Advances in Theory and Applications

SHANNON ENTROPY AND CHARACTERIZATION OF NADARAJAH AND HAGHIGHI DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS

Author's: M. J. S. Khan and Arti Sharma
Pages: [43] - [69]
Received Date: January 29, 2018; Revised February 14, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121925

Abstract

In this paper, we have derived the exact expression for the Shannon entropy of Nadarajah and Haghighi (NH) distribution based on generalized order statistics. Characterization of NH distribution is discussed by using the recurrence relation based on single and product moments of generalized order statistics. And we have obtained the exact and explicit expression for single and product moment of generalized order statistics in terms of Gauss hypergeometric function and Kampé de Fériet series from NH distribution. Further, we have discussed the results of ordinary order statistics, progressive type II censoring and record values.

Keywords

Shannon entropy, generalized order statistics, order statistics, progressive type II censoring, record values, characterization, NH (Nadarajah and Haghighi) distribution.