Abstract
We characterize the Pearson family of distributions by finding a relationship between the failure rate and the higher order moments of residual life. We also present a characterization theorem of IFR(DFR) class of distributions in the Pearson family.
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Sankaran, P.G., Nair, N.U. On some reliability aspects of Pearson family of distributions. Statistical Papers 41, 109–117 (2000). https://doi.org/10.1007/BF02925680
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DOI: https://doi.org/10.1007/BF02925680