Characterizations and ordering properties based on log-odds functions |
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| Authors: | Jorge Navarro Jose M Ruiz Yolanda Del Aguila |
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| Institution: | 1. Departamento de Estadística e Investigación Operativa , Universidad de Murcia , Murcia, Spain jorgenav@um.es;3. Departamento de Estadística e Investigación Operativa , Universidad de Murcia , Murcia, Spain;4. Departamento de Estadística y Matemática Aplicada , Universidad de Almería , Almería, Spain |
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| Abstract: | In this paper, we obtain some general results on characterizations of probability distributions from relationships between conditional moment, failure rate, and log-odds rate functions. We also study stochastic orders and classes based on the log-odds rate function and some relationships with usual stochastic orderings and classes. Some characterizations and ordering properties are obtained by using weighted distributions. |
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| Keywords: | characterization log-odds rate failure rate reversed failure rate conditional moments weighted distribution |
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