• Identifying A Certain Class Of Distributions Using Some Recurrence Relations

Abstract

In this paper, three recurrence relations for a certain class of probability distributions are presented. The first one is a recurrence relation between conditional moments of h(X) given X < y. The second is the relationship between the moments E( ( )), E( ( )) and E( ( )), where is the order statistic from a sample of size n. The last one is the relationship between the conditional moments E( ( )| <t) and E( ( )| <t). Some results concerning exponentiated Weibull, modified Weibull, exponentiated Pareto, inverse Weibull, inverse Rayleigh, linear failure rate distribution, Burr, power and uniform distributions are obtained as special cases.