Moment Generating Functions of Complementary Exponential-Geometric Distribution Based on k-th Lower Record Values

Authors

Devendra Kumar, Central University Haryana, Mahendergarh, IndiaFollow
Sanku Dey, King Abdulaziz University, Jeddah, Saudi ArabiaFollow
Mansoor Rashid Malik, Amity University, Noida, IndiaFollow
Fahad M. Al-Aboud, King Abdulaziz University, Jeddah, Saudi ArabiaFollow

Abstract

The complementary exponential-geometric (CEG) distribution is a useful model for analyzing lifetime data. For this distribution, some recurrence relations satisfied by marginal and joint moment generating functions of k-th lower record values were established. They enable the computation of the means, variances, and covariances of k-th lower record values for all sample sizes in a simple and efficient recursive manner. Means, variances, and covariances of lower record values were tabulated from samples of sizes up to 10 for various values of the parameters.

DOI

10.22237/jmasm/1525133220

Recommended Citation

Kumar, D., Dey, S., Malik, M. R., & Al-Aboud, F. H. (2018). Moment Generating Functions of Complementary Exponential-Geometric Distribution Based on k-th Lower Record Values. Journal of Modern Applied Statistical Methods, 17(1), eP2479. doi: 10.22237/jmasm/1525133220