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題 名 | Bayesian Estimation of the Mixture of Generalized Exponential Distribution: a Versatile Lifetime Model in Industrial Processes=廣義指數分配混合中的貝氏估計﹔在工業生產過程中,一個通用的壽命時間模型 |
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作 者 | Ali, Sajid; Aslam, Muhammad; Kundu, Debasis; Kazmi, Syed Mohsin Ali; | 書刊名 | 工業工程學刊 |
卷 期 | 29:4 2012.06[民101.06] |
頁 次 | 頁246-269 |
分類號 | 494.5 |
關鍵詞 | 對稱熵損失函數; 廣義指數分配; 損害率混合分配; 預防損失函數; 平方誤損失函數; 平方對數損失函數; Entropy loss function; Generalized exponential distribution; Hazard rate of mixture distribution; Precautionary loss function; Squared error loss function; Squared logarithmic loss function; |
語 文 | 英文(English) |
英文摘要 | Constructing a Fexible parametric classes of probability distributions is most popular approach in Bayesian analysis for the last few decades. This study is planned in the same direction for two components’ mixture of generalized exponential (GE) probability distribution by considering heterogeneous population from industry. We have considered censored sample environment due to its popularity in reliability theory. In addition, we have worked out expressions for the maximum likelihood estimates along with their variances and constructed components of the information matrix. To examine the performance of these estimators, we have evaluated their properties for different sample sizes, censoring rates, proportions of the component of mixture, and a variety of loss functions (LFs). The Bayes estimates are evaluated under squared error, entropy, squared logarithmic, and precautionary LFs. Hazard rate of GE distribution graphically and numerically compared with mixture of other life-time distributions. To highlight the practical significance, we have included an illustrative application example based on a real-life data. |
本系統中英文摘要資訊取自各篇刊載內容。