淡江大學機構典藏:Item 987654321/126925
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    题名: Estimation for partially observed left truncation and right censored competing risks data from a generalized inverted exponential distribution with illustrations
    作者: Wang, Liang;Zhang, Chunfang;Wu, Shuo-Jye;Dey, Sanku;Lioe, Yuhlong
    关键词: Left-truncated and right-censored data;competing risks model order restriction generalized inverted exponential model;maximum likelihood estimation;posterior analysis
    日期: 2024-08
    上传时间: 2025-03-20 09:31:07 (UTC+8)
    摘要: In this paper, studies of competing risks model are considered when the observations are left-truncated and right-censored data. When the failure times of the competing risks are distributed by a generalized inverted exponential model with same scale but different shape parameters with partially observed failure causes, statistical inference for the unknown model parameters is discussed from classical and Bayesian approaches, respectively. Maximum likelihood estimators of the unknown parameters, along with associated existence and uniqueness, are established, and the asymptotic likelihood theory is also used to construct the confidence interval via the observed Fisher information matrix. Moreover, Bayesian estimates and the corresponding highest posterior density credible intervals are also obtained based a flexible Gamma-Beta prior, and a Gibbs sampling technique is constructed to compute associated estimates. Further, under a general practical assumption with order-restriction parameter case, classical and Bayesian estimations are also established under order restriction situations, respectively. Extensive Monte-Carlo simulations are carried out to investigate the performances of our results and two real-life examples are analyzed to show the applicability of the proposed methods.
    關聯: Quality Technology & Quantitative Management, 21, 525-555.
    DOI: 10.1080/16843703.2023.2219559
    显示于类别:[統計學系暨研究所] 期刊論文

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