On the moments of order statistics from the standard two-sided power distribution

Document Type : Research Article

Authors

1 Department of Statistics, University of Delhi, Delhi 110007, India

2 Department of Statistics, University of Mazandaran, Babolsar, Iran.

3 Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, KSA.

Abstract

In this paper, we obtain  new explicit expressions for the single and product moments of order statistics from the standard two-sided power (STSP) distribution. These expressions can be used to compute the means, variances and the covariances of order statistics from the STSP distribution. We also have a glance at the application of the results  to the lifetimes of the coherent systems.  Two real data examples are given to illustrate the flexibility of the STSP distribution.

Keywords

Journal of Mathematical Modeling
Volume 7, Issue 4
December 2019
Pages 381-398

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