Relations for Marginal and Joint Moment Generating Functions of Extended Type I Generalized Logistic Distribution based on Lower Generalized Order Statistics and Characterization

Devendra Kumar

Lower generalized order statistics ； Order statistics ； Lower record values ； Extended type I generalized logistic distribution ； Marginal and joint moment generating function ； Recurrence relations and characterization

Tamsui Oxford Journal of Information and Mathematical Sciences

29卷2期（2013 / 05 / 01）

219 - 238

英文

In this study we give exact expressions and some recurrence relations for marginal and joint moment generating functions of lower generalized order statistics from extended type I generalized logistic distribution. The results for order statistics and lower record values are deduced from the relations derived. Further two characterization Theorems of this distribution has been considered on using conditional expectation and recurrence relations for marginal moment generating functions of the lower generalized order statistics is presented.