Abstract

In this paper, the exact and explicit expressions for single, product, and conditional moments for inverted Kumaraswamy distribution using dual generalized order statistics (dgos) are derived. Further, the expression for maximum likelihood estimator (MLE) and uniformly minimum variance unbiased estimator (UMVUE) for the parameters of inverted Kumaraswamy distribution based on dgos are deduced. Also, we obtained the results for order statistics and lower record values by putting some specific values of the parameters of dgos. Finally, a simulation study is carried out for illustrative purpose.

Details

Title
Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference
Author
Khatoon, Bushra 1 ; Khan, M. J. S. 1 ; Noor, Zubdahe 1 

 Aligarh Muslim University, Department of Statistics and Operations Research, Aligarh, India (GRID:grid.411340.3) (ISNI:0000 0004 1937 0765) 
Pages
251-266
Publication year
2021
Publication date
Jun 2021
Publisher
Springer Nature B.V.
ISSN
15387887
e-ISSN
22141766
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2921230384
Copyright
© The Authors 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.