UMVU estimation of the reliability function of the generalized life distributions |
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| Authors: | Ajit Chaturvedi Sanjeev K Tomer |
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| Institution: | (1) Department of Statistics, University of Delhi, 10007 Delhi, India;(2) Department of Microbiology, CCS University, 250005 Meerut, India |
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| Abstract: | The problems of estimating the reliability function and P=PrX > Y are considered for the generalized life distributions. Uniformly minimum variance unbiased estimators (UMVUES) of the
powers of the parameter involved in the probabilistic model and the probability density function (pdf) at a specified point
are derived. The UMVUE of the pdf is utilized to obtain the UMVUE of the reliability function and ‘P’. Our method of obtaining
these estimators is quite simple than the traditional approaches. A theoretical method of studying the behaviour of the hazard-rate
is provided. |
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| Keywords: | Generalized life distributions hazard-rate reliability function stress-strength model |
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