基于记录值数据的一种浴盆型寿命分布置信集估计
Confidence Set Estimation for a Bathtub-Shaped Lifetime Distribution Based on Recorded Data
摘要: 针对一种具浴盆型失效率曲线的寿命分布，本文在记录值数据场合研究了模型参数的置信集估计问题。首先，基于记录值样本构造枢轴量，进而分别建立模型参数的精确置信区间和置信域。其次，为补充起见，进一步利用大样本原理构造了模型参数的渐近置信区间估计。最后，通过数值模拟和算例分析比较了不同置信集结果的优良性。
Abstract: This paper investigates the confidence set estimation problem of model parameters for a lifetime distribution with a bathtub-shaped failure rate curve in the case of recorded data. Firstly, based on the recorded value samples, pivotal quantities are constructed, and then exact confidence intervals and confidence regions for the model parameters are established separately. Secondly, for the sake of supplementation, the asymptotic confidence interval estimation of the model parameters was further constructed using the large sample principle. Finally, the superiority of different confidence set results was compared through numerical simulation and case analysis.
文章引用：杨艳焱. 基于记录值数据的一种浴盆型寿命分布置信集估计[J]. 统计学与应用, 2024, 13(5): 1972-1981. https://doi.org/10.12677/sa.2024.135192

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