Characterization of the Pearson system of distributions based on reliability measures |
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| Authors: | Majid Asadl |
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| Affiliation: | (1) Probability and Statistics Section, School of Mathematics and Statistics, S3 7RH Sheffield, UK |
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| 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. |
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| Keywords: | Mean residual life Hazard function Pearson system of distributions Weighted distributions Characterization Vitality function |
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