ON CHARACTERIZATIONS OF PARETO AND WEIBULL DISTRIBUTIONS BY CONSIDERING CONDITIONAL EXPECTATIONS OF UPPER RECORD VALUES

Characterizations of the Exponentiated Pareto Distribution Based on Record Values

Girls College of Education in Jeddah, Scientific Section, King Abdulaziz University, P. O. Box 32691, Jeddah 21438, Saudi Arabia hanaa−[email protected] Abstract In this paper, the exact form of the probability density function (pdf) and moments of single, double, triple and quadruple of lower record values from Exponentiated Pareto distribution (EPD) are derived. We establish several recurr...

Characterizations of Probability Distributions via Bivariate Regression of Record Values

Bairamov et al. (2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of nonadjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric...

Characterizations of Multinomial Distributions Based on Conditional Distributions

Several characterizations of the joint multinomial distribution of two discrete random vectors are derived assuming conditional multinomial distributions.

Characterizations of Distributions by Expected Values of Lower Record Statistics with Spacing

Various Characterizations of Modified Weibull and Log Modified Distributions

Various characterizations of the well-known modified Weibull and log-modified Weibull distributions are presented. These characterizations are based on a simple relationship between two truncated moments; on the hazard function and on functions of the order statistics. Zusammenfassung: Diverse Charakteristika der gut bekannten modifizierten Weibull und log-modifizierten Weibull Verteilungen wer...