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: ,
, , ,
被引量
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:
；；；；；；；；；
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.
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