Recurrence Relations for Moment Generating Functions of the Generalized Compound Rayleigh Distribution

Authors

M. Maswadah, Department of Mathematics, Faculty of Science, Aswan University, Aswan, EgyptFollow
M. Seham, Department of Mathematics, Faculty of Science, Aswan University, Aswan, EgyptFollow

Abstract

In this paper, we consider the three-parameter generalized compound Rayleigh distribution. The recurrence relations for moment generating functions based on the generalized order statistics are obtained. The results presented here are a generalization of the recurrence relations for Single and product moment generating functions, based on the ordinary order statistics and the upper record statistics for some lifetime distributions in the literature such as Beta-Prime, Lomax, Burr XII, and Compound Rayleigh distributions which are special cases from the generalized compound Rayleigh distribution.

Recommended Citation

Maswadah, M. and Seham, M. (2023) "Recurrence Relations for Moment Generating Functions of the Generalized Compound Rayleigh Distribution," Information Sciences Letters: Vol. 12 : Iss. 4 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss4/5