渐近II型删失下广义半逻辑分布的统计推断
Statistical Inferences of GeneralizedHalf Logistic Distribution underProgressive Type-II Censored
DOI:10.12677/PM.2024.142070,PDF,下载: 128浏览: 182国家自然科学基金支持
作者:王海军：西北师范大学数学与统计学院，甘肃 兰州
关键词:广义半逻辑分布；渐近II型删失；参数估计；最大似然；贝叶斯方法；Generalized Semi-Logical Distribution；Asymptotic Type II Deletion；Parameter Es- timation；Maximum Likelihood；Bayesian Method
摘要:本文主要研究了广义半逻辑分布在渐近II型删失下的统计推断问题。首先，我们介绍了广义半逻辑 分布的概念和性质，然后提出了渐近II型删失机制。 接着，我们详细推导了在渐近II型删失下，使 用最大似然估计和贝叶斯方法估计广义半逻辑分布参数的过程。 最后，通过数值模拟和实际数据 分析，验证了所提出方法的有效性和适用性。
Abstract:In this paper, the parameter estimation problem of generalized semi-logical distribu- tion under progressive type II censored is studied. Firstly, we introduce the concept and properties of generalized semi-logical distribution, and then propose the asymp- totic type II deletion mechanism. Then, we derive in detail the procedure of esti- mating generalized semi-logical distribution parameters by using maximum likelihood estimation and Bayesian method under asymptotic type II deletion. Finally, the effec- tiveness and applicability of the proposed method are verified by numerical simulation and actual data analysis.
文章引用：王海军. 渐近II型删失下广义半逻辑分布的统计推断[J]. 理论数学, 2024, 14(2): 710-718. https://doi.org/10.12677/PM.2024.142070

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