RECURRENCE RELATIONS FOR MOMENTS OF k-th RECORD VALUES FROM A WEIBULL EXTENSION MODEL

M. Maswadah (Egypt)

Received October 18, 2007

Abstract

In this paper we establish some recurrence relations for single and product moments from a three-parameter Weibull extension model. The results presented here are generalization of the recurrence relations for moments of upper record values and the k-th upper record values for some lifetime distributions in the literature such as the ordinary Weibull, the Gompertz, the Exponential and the Rayleigh distributions, which are special cases from the Weibull extension model. Also characterizations of these distributions based on the single moments are given.

Keywords and phrases: k-th record values, record values, single and product moments, Gompertz distribution, exponential distribution, Rayleigh distribution.