On the Moment Generating Functions of Generalized order Statistics from General Class of Distributions and Characterizations

Abstract: In this paper, we establish some recurrence relations for both marginal and joint moment generating functions of generalized order statistics are established. The recurrence relations for both marginal and joint moment generating functions for order statistics and record values are deduced. We characterized a general class of distribution functions through conditional expectation,marginal and joint moment generating functions of generalized order statistics. Special cases are discussed