Characterization of the Pearson system of distributions based on reliability measures
Authors:
Majid Asadl
Affiliation:
(1) Probability and Statistics Section, School of Mathematics and Statistics, S3 7RH Sheffield, UK
Abstract:
LetX be a random variable andX(w) be a weighted random variable corresponding toX. In this paper, we intend to characterize the Pearson system of distributions by a relationship between reliability measures ofX andX(w), for some weight functionw>0.