Recurrence relations for moments of order statistics from half logistic-truncated exponential distribution

Abstract

A new distribution named half logistic-truncated exponential distribution having location and scale parameters is developed. The recurrence relations are established for the single moments and product moments of order statistics for various values of scale parameter θ. These recurrence relations are used to calculate the first k moments of all order statistics in a simple and efficient manner and to tabulate means, variances and covariances in samples of size n = 1(1)10.

Keywords:

• Order statistics
• half logistic distribution
• half logistic-truncated exponential distribution
• recurrence relations
• single and product moments

Acknowledgments

Authors are deeply thankful to the editor in chief and reviewer for their valuable suggestions for improving the quality of this manuscript. The first author is also thankful to the Higher Education Commission, Islamabad, Pakistan for the support under IRSIP Program.