Characterizations of mixture of two-component exponentiated family of distributions based on generalized order statistics

Authors

1 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt

2 Mathematics Department, Faculty of Science, Minia University, El-Minia, Egypt

org/10.1016/j.joems.2012.10.001

Abstract

In this paper, we shall characterize mixture of two components of exponentiated family of distributions based on recurrence relations for moment and conditional moment generating functions of generalized order statistics. Results for ordinary order statistics and upper kth record values are obtained as special cases.

Keywords