Estimation for partially observed left truncation and right censored competing risks data from a generalized inverted exponential distribution with illustrations
學年 113
學期 1
出版(發表)日期 2024-08-01
作品名稱 Estimation for partially observed left truncation and right censored competing risks data from a generalized inverted exponential distribution with illustrations
作品名稱(其他語言)
著者 Wu, Shuo-jye
單位
出版者
著錄名稱、卷期、頁數 Quality Technology & Quantitative Management 21(4), p.525-555
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.
關鍵字 Left-truncated and right-censored data;competing risks model;order restriction;generalized inverted exponential model;maximum likelihood estimation;posterior analysis
語言 en_US
ISSN 1684-3703
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 ,電子版,紙本
SDGS 產業創新與基礎設施