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

Document Type: Research Paper

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