| Ⅰ型左删失下Topp-Leone分布的参数及可靠度函数的估计（英文） |
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| 引用本文： | 龙沁怡,徐丽平.Ⅰ型左删失下Topp-Leone分布的参数及可靠度函数的估计（英文）[J].数学季刊,2023(1):97-110. |
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| 作者姓名： | 龙沁怡 徐丽平 |
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| 作者单位： | School of Information and Mathematics, Yangtze University |
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| 基金项目： | Supported by National Natural Science Foundation of China (Grant No. 11901058)； |
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| 摘 要： | Firstly, the maximum likelihood estimate and asymptotic confidence interval of the unkown parameter for the Topp-Leone distribution are obtained under Type-I left censored samples, furthermore, the asymptotic confidence interval of reliability function is obtained based on monotonicity. Secondly, under different loss functions, the Bayesian estimates of the unkown parameter and reliability function are obtained, and the expected mean square errors of Bayesian estimates are calculated. Monte-Carl...
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