Recurrence Relations for Moments and Moment Generating Functions from the Extended Type I Generalized Logistic Distribution Based on k − th Lower Record Values

Abstract

In this study we give explicit expressions and some recurrence relations for marginal and joint moment generating functions of k−th lower record values from extended type I generalized logistic distribution. Further a characterization of this distribution by considering recurrence relations for marginal moment generating functions of the k−th lower record values is presented.

Key words and phrases. Record value, marginal and joint moment generating functions, recurrence relations, extended type I generalized logistic distribution, characterization.

2000 Mathematics Subject Classification. 62G30, 62G99, 62E10