Interval Estimation for the Two-Parameter Exponential Distribution Based on Upper Record Value Data Using Bayesian Approaches
學年 113
學期 1
出版（發表）日期 2024-12-09
作品名稱 Interval Estimation for the Two-Parameter Exponential Distribution Based on Upper Record Value Data Using Bayesian Approaches
作品名稱（其他語言）
著者 Wu, Shu-fei
單位
出版者
著錄名稱、卷期、頁數 Mathematics 12(23),　3868
摘要 Using upper record value data, we provide a credible interval estimate for the scale parameter of a two-parameter exponential distribution based on Bayesian methods. Additionally, we propose two Bayesian credible confidence regions for both parameters. In addition to interval estimations for the parameters, we propose a Bayesian prediction interval for a future upper record value. A simulation study is conducted to compare the performance of the proposed Bayesian credible interval, regions and prediction intervals with existing non-Bayesian approaches, focusing on coverage probabilities. The simulation results show that the Bayesian approaches achieve higher coverage probabilities than existing methods. Finally, we use an engineering example to demonstrate all the proposed Bayesian credible estimations for the exponential distribution based on upper record value data.
關鍵字 upper record value;two-parameter exponential distribution;Bayesian credible interval estimation;Bayesian credible confidence region;Bayesian prediction interval
語言 en
ISSN 2227-7390
期刊性質 國內
收錄於 SCI
產學合作
通訊作者
審稿制度 否
國別 CHE
公開徵稿
出版型式 ,電子版
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