Exact inference for exponential distribution with multiply Type-I censored data |
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Authors: | Xiang Jia Bo Guo |
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Institution: | College of Information Systems and Management, National University of Defense Technology, Changsha, Hunan, P. R. China |
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Abstract: | In this paper, we focus on exact inference for exponential distribution under multiple Type-I censoring, which is a general form of Type-I censoring and represents that the units are terminated at different times. The maximum likelihood estimate of mean parameter is calculated. Further, the distribution of maximum likelihood estimate is derived and it yields an exact lower confidence limit for the mean parameter. Based on a simulation study, we conclude that the exact limit outperforms the bootstrap limit in terms of the coverage probability and average limit. Finally, a real dataset is analyzed for illustration. |
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Keywords: | Exponential distribution Exact lower confidence limit Multiple Type-I censoring Maximum likelihood estimate |
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