Shannon Entropy and Characterization of Nadarajah and Haghighi Distribution Based on Generalized Order Statistics

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.

Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

“…Selim [38] dealt estimation of NH model parameters through the maximum likelihood and Bayes method based on record values and also considered point and interval predictions of the future record values. Khan and Sharma [39] obtained exact expressions for the Shannon entropy of the NH model based on generalized order statistics. Sana and Faizan [40] considered maximum likelihood and Bayesian estimation of the NH model based on upper records and obtained Bayes estimates under squared error loss, balanced squared error, and general entropy loss functions.…”