RELATIONS FOR MARGINAL AND JOINT MOMENT GENERATING FUNCTIONS OF MARSHALL-OLKIN EXTENDED LOGISTIC DISTRIBUTION BASED ON LOWER GENERALIZED ORDER STATISTICS AND CHARACTERIZATION

摘要

In this study we give exact expressions and some recurrence relations for marginal and joint moment generating functions of lower generalized order statistics from Marshall-Olkin extended logistic distribution. The results for order statistics and lower record values are deduced from the relations derived. Further, a characterization of this distribution by considering recurrence relations for marginal moment generating functions of the lower generalized order statistics is presented.