Abstract
In the present note, we study an extended class of Pearson system of distributions in the context of reliability. It is shown that the proposed class of models can be characterized by a relatioaship between the failure rate and the conditional moments. Further, we develop a procedure to identify an increasing (decreasing) failure rate model in the generalized Pearson system.
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Sankaran, P.G., Nair, N.U. & Sindhu, T.K. A generalized Pearson system useful in reliability analysis. Statistical Papers 44, 125–130 (2003). https://doi.org/10.1007/s00362-002-0138-3
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DOI: https://doi.org/10.1007/s00362-002-0138-3