Interval estimation for the generalized inverted exponential distribution under progressive first failure censoring |
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Authors: | Bing Xing Wang Qian Yu |
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Institution: | Department of Statistics, Zhejiang Gongshang University, Hangzhou, People's Republic of China |
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Abstract: | In this paper, we consider the inferential procedures for the generalized inverted exponential distribution under progressive first failure censoring. The exact confidence interval for the scale parameter is derived. The generalized confidence intervals (GCIs) for the shape parameter and some commonly used reliability metrics such as the quantile and the reliability function are explored. Then the proposed procedure is extended to the prediction interval for the future measurement. The GCIs for the reliability of the stress-strength model are discussed under both equal scale and unequal scale scenarios. Extensive simulations are used to demonstrate the performance of the proposed GCIs and prediction interval. Finally, an example is used to illustrate the proposed methods. |
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Keywords: | Progressive first failure censoring generalized confidence interval prediction interval stress-strength model |
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