Estimation and testing procedures for the reliability functions of a general class of distributions |
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Authors: | Ajit Chaturvedi |
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Institution: | Department of Statistics, University of Delhi, Delhi, India |
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Abstract: | We consider here the general class of distributions proposed by Sankaran and Gupta (2005) by zeroing in on two measures of reliability, R(t) = P(X > t) and P = P(X > Y). Thereafter, we develop point estimation for R(t) and ‘P’ and develop uniformly minimum variance unbiased estimators (UMVUES). Then we derive testing procedures for the hypotheses related to different parametric functions. Finally, we compare the results using the Monte Carlo simulation method. Using real data set, we illustrate the procedure clearly. |
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Keywords: | General class of distributions Point estimation Reliability functions Testing procedures UMVUES |
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