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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Asadl, M. Characterization of the Pearson system of distributions based on reliability measures. Statistical Papers 39, 347–360 (1998). https://doi.org/10.1007/BF02927098
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DOI: https://doi.org/10.1007/BF02927098