Recurrence Relations for the Moments of Generalized Inverse Weibull Distribution Based on Lower Records and a Characterization

Abstract

Abstract—In this study we derive exact expressionsand some recurrence relations for single and productmoments of lower record values from generalizedinverse Weibull distribution. Two theorems oncharacterization of the generalized inverse Weibulldistribution based on conditional expectation of functionand the recurrence relation for single moments of lowerrecords are also presented