Some Properties of Weighted Distributions in the Context of Repairable Systems |
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| Authors: | S M Sunoj S S Maya |
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| Institution: | 1. Department of Statistics , Cochin University of Science and Technology , Cochin, Kerala, India smsunoj@cusat.ac.in;3. Department of Statistics , Cochin University of Science and Technology , Cochin, Kerala, India |
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| Abstract: | ABSTRACT In this article we introduce some structural relationships between weighted and original variables in the context of maintainability function and reversed repair rate. Furthermore, we prove some characterization theorems for specific models such as power, exponential, Pareto II, beta, and Pearson system of distributions using the relationships between the original and weighted random variables. |
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| Keywords: | Maintainability function Reversed hazard rate Weighted distributions |
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