On Moments and Entropy of Kumaraswamy Power Function Distribution based on Generalized Order Statistics with its Application

Authors

Bushra Khatoon, Department of Statistics and Operations Research, Aligarh Muslim University, India
M. J. S. Khan
A. Sharma
M. A. R. Khan

Author Country (or Countries)

India

Abstract

In this paper, we have obtained exact and explicit expressions for ratio, inverse and conditional moments of generalized order statistics (gos) from Kumaraswamy Power function distribution (KPFD) and reduced the aforesaid results for Kumaraswamy distribution. An exact and analytic expression of Shannon entropy for KPFD based on gos have been obtained. Also, we have derived the expressions for maximum likelihood estimator (MLE) of all shape parameters, uniformly minimum variance unbiased estimator (UMVUE) of one of the shape parameter by considering others to be known and best linear unbiased estimator (BLUE) for location and scale parameters of KPFD based on gos. We have computed means, variance and covariance matrices based on order statistics, progressive type-II censored order statistics and gos. Further, we have considered a real example for illustration purpose of the findings.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/100313

Recommended Citation

Khatoon, Bushra; J. S. Khan, M.; Sharma, A.; and A. R. Khan, M. (2021) "On Moments and Entropy of Kumaraswamy Power Function Distribution based on Generalized Order Statistics with its Application," Journal of Statistics Applications & Probability: Vol. 10: Iss. 2, Article 13.
DOI: http://dx.doi.org/10.18576/jsap/100313
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol10/iss2/13