System No. U0002-2706200612113000 篩選設計及故障率研究 Failure censoring,progressive type II censoring and distribution family with bathtub shape hazard rate 淡江大學 管理科學研究所碩士班 Graduate Institute of Management Science 94 2 95 王世豪 Shi-Hao Wang 693560350 碩士 Traditional Chinese 2006-06-09 44page advisor - Wen-Tao Haung co-chair - 賴耀宗 co-chair - 歐陽良裕 失效篩選取樣 逐次篩選取樣 損失函數 故障率 浴缸型 failure censoring scheme progressive type II censoring scheme loss function hazard rate bathtub shape ```在第一章，我們討論失效篩選取樣及逐次型二篩選取樣的關係，並在失效篩選取樣下分別討論，指數分佈及柏拉圖分佈最佳分組的問題。並且討論了在逐次型二篩選取樣的最佳設計。最後以模擬的方式來討論失效篩選取樣如何決定最佳組內個數。 在第二章，在特殊形式的累積機率分佈下，討論了故障率為浴缸型的分佈族。本文提出了三個具體不同的分佈族。``` ```In chapter one, we discuss the relation between failure censoring scheme and progressively type II censoring scheme；some optimal allocation problems have been studied under both exponential and Pareto distributions.Some optimal problems have been also studied under progressive type II censoring scheme. In chapter two, we study and propose some special family of distribution with bathtub shape hazard rate.``` ```目錄: 第一章 失效篩選取樣及逐次型二篩選取樣....................1 1.1 背景及文獻探.........................................1 1.2 相關符號之定義.......................................3 1.3 失效篩選取樣及逐次型二篩選取樣的比較.................4 1.4 失效篩選取樣下最佳分組...............................7 1.4.1指數分配...........................................7 1.4.2柏拉圖分配........................................11 1.5 逐次型二篩選取樣下最佳淘汰個數之選取................15 1.6 失效篩選取樣下各組內個數最佳選取....................17 1.7 結論................................................34 第二章 壽命分佈族之探討與擴張...........................35 2.1 背景及文獻探討......................................35 2.2 以指數為基底的ㄧ般化模型............................35 2.3 結論................................................42 參考文獻.................................................43``` ```參考文獻 [1]Balasooriya U.(1995). Failure-censored reliability sampling plans for exponential distribution,Journal of Statistical Computation and Simulation, 52,337-349. [2]Chen Z.(2000). A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function, Statistics & Probability Letter, 49,155-161. [3]Cohen A. C.(1963). Progressively censored samples in life testing,Technometrics, 5,327-339. [4]Epstein B. and Sobel M.(1953). Life testing.Journal of the American Statistical Association, 48 485-502. [5]Epstein B. and Sobel M.(1954). Some theorems relevant to life testing from an Exponential distribution, The Annals of Mathematical Statistics, 25(2),373-381. [6]Wang F. K. (2000), A new model with bathtub-shape failure rate using an additive Burr XII distribution, Reliability Engineer and System Safety, 70,306-312. [7] Mudholkar G.S. and Srivastava D.K.(1993). Exponentiated Weibull family for analyzing bathtub failure-rate data, IEEE Trans. Relibility, 42, 299-302. [8] Leemis L.M.(1986). Lifetime distribution identities. IEEE Trans. Reliability 35,170-174. [9]Wu C. C. and Wu S. F.(2004). MLE and the estimated expected test time for Pareto distribution under progressive censoring data, International Journal of Information and Management Sciences, 15,29-42. [10]Wu J. W. and Tasi, W. L.(2000). Failure-Censored sampling plan for the Weibull distribution,International Journal of Information and Management Sciences, 11,13-25. [11]Yuen H. K. and Tse S. K.(1996). Parameters estimation for Weibull distribution lifetime under progressive censoring with random removals, Iournal of statistical Computation and Simulation, 55,57-71.``` Within Campus： On-campus access to my hard copy thesis/dissertation is open immediately Agree to authorize disclosure on campus Duration for delaying release from 1 years. Outside the Campus： I grant the authorization for the public to view/print my electronic full text with royalty fee and I donate the fee to my school library as a development fund.Duration for delaying release from 1 years.