Closed-form solutions for the Weibull distribution parameters and performance lifetime index with interval-censored data
學年 114
學期 1
出版（發表）日期 2025-12-26
作品名稱 Closed-form solutions for the Weibull distribution parameters and performance lifetime index with interval-censored data
作品名稱（其他語言）
著者 Zhengcheng Mou; Yi Li; Jyun-You Chiang; Tzong-Ru Tsai
單位
出版者
著錄名稱、卷期、頁數 Mathematics 2026 14(1), p. 98
摘要 In lifetime testing, reliably assessing the life performance index of the Weibull distribution under Type I interval-censored data is a critical task. Although maximum likelihood estimation (MLE) is a conventional approach for parameter estimation, closed-form solutions are unavailable for this data type. To address this limitation, four least-squares estimation methods based on data transformation are developed. The proposed estimations can provide closed-form solutions for the Weibull distribution and life performance index. The asymptotic unbiasedness and normality of the proposed estimators are rigorously established. Their effectiveness is further supported by simulation studies. Moreover, the practical relevance of the methods is illustrated with two real-data applications.
關鍵字 Weibull distribution; least-squares estimation; life performance index; Type-I interval-censored data; data transformation
語言 en_US
ISSN
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者
審稿制度 是
國別 CHE
公開徵稿
出版型式 ,電子版
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機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/128425 )