Some observations in testing for nonstandard mixtures |
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Authors: | L Ramprasath TM Durairajan |
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Institution: | 1. Institute for Financial Management and Research, 24, Kothari Road, Nungambakkam, Chennai 600034, India;2. Department of Statistics, Loyola College, Nungambakkam, Chennai 600034, India |
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Abstract: | We consider optimal testing procedures for specific models of early and instantaneous failures in reliability studies. These models are typically used to accommodate lifetime data that have a higher concentration of failures near time zero. We show that it is possible to derive uniformly most powerful tests, for testing the mixing parameter in the instantaneous failure model, for general lifetime distributions. A novel procedure to test for early failures, which uses an invariance property of the maximum likelihood estimate of the nuisance parameter, is also presented. |
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Keywords: | Instantaneous failure Early failure UMP test Least favorable prior Zero inflated distribution Inlier Left censoring |
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