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姓名	巫世榮(Shih_Rung Wu)  查詢紙本館藏	畢業系所	數學系
論文名稱	二維品質度量之直接與間接參數估計 (Direct and Indirect parametric Estimations of Two Dimentional Quality Measures)
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摘要(中)	在工業統計上，產品品質的度量方法有很多，例如製程能力指標(Process Capability Indices)、故障率(Hazard Rates)及平均剩餘壽命(Mean Residual Life)等。通常產品之二維品質，都有二種表示方式，也因此有二種估計方式，本文主要目的在比較此二種估計方法之優劣。
摘要(英)	In the industrial statistics , there are many measurable ways(example: Process Capability indices、Hazard Rates、Mean Residual Life、etc…) in quality control. In generality , product have two reports in the two-dimensional quality. Thus , they have two estimable ways. In this paper , we will compare fit and unfit in this two estimable ways.
關鍵字(中)	★ 最大概似估計 ★ 間接參數估計 ★ 中央極限定理 ★ 直接參數估計	關鍵字(英)	★ Maximum likelihood estimator ★ Central limit theorem ★ Indirect parametric estimation ★ Direct parametric estimation
論文目次	第一節 簡介………………1 第二節 製程能力指標…… 4 第三節 故障率……………19 第四節 平均剩餘壽命……23 第五節 結論………………26 參考文獻……………………27
參考文獻	[1] Andersen,P.K., Borgan,O., Gill,R.D. and Keiding,N.(1993). Statistical methods based on counting process. Springer-Verlag. [2] Arnold,B.C. and Zahedi,H.(1988). On multivariate mean remaining life functions. Journal of Multivariate Analysis, 25, pp.1-9. [3] Bothe,D.R.(1997). Measuring process capability. McGraw-Hill. [4] Boyles,R.A.(1996b). Multivariate process analysis with lattice data. Technometrics, 38, pp.37-49. [5] Chan,L.K., Cheng,S.W. and Spring,F.A.(1988b). A new measure of process capability Cpm. Journal of Quality Technology 20, pp.162-175. [6] Chan,L.K., Cheng,S.W. and Spring,F.A.(1991). A multivariate measure of process capability. International Journal of Modeling and Simulation 11, pp.1-6. [7] Chen,H.(1994). A multivariate process capability index over a rectangular solid tolerance zone. Statistica Sinica 4, pp.749-758. [8] Fleming,T.R. and Harrington,D.P.(1991). Counting process and survival analysis. Wiley. [9] Gupta,R.D. and Kundu,D.(1999). Generalized exponential distributions. Austral. and New Zealand J. Statiat., 41, 2, pp.173-188. [10] Huang,J.Z., Kooperberg,C., Stone,C.J. and Truong,Y.K.(2000). Functional anova modeling for proportional hazards regression. Ann. Statist., 28, 4, pp.961-999. [11] Juran,J.M., Gryna,F.A. and Bingham,R.S.(1974). Quality control handbook. Mcgraw-Hill. [12] Jeong,D., Song,J and Sohn, J.(1996). Nonparameteric esitimation of bivariate mean residual life function under univariate censoring. Jourual of Korean Statistical society, 25, pp.133-144. [13] Klein,J.P. and Moeschberger,M.L.(1997). Survival Analysis. Springer-Verlag. [14] Kotz,S. and Johnson,N.L.(1993a).process capability indices. Chapman and Hall, London,U.K. [15] Kotz,S. and Johnson,N.L.(2002). Process capability-A review,1992-2000. Journal of Quality Technology, pp.2-53. [16] Kotz,s. and Lovelace,C.(1998). Introduction to process capability indices. Arnold, London,U.K. [17] Kuljarni,H.V. and Rattihalli,R.N.(1994). On characterization of bivariate mean residual life function. IEEE Transations on Reliability, 38, pp.362- 364. [18] Kuljarni,H.V. and Rattihalli,R.N.(2002). Nonparametric estimation of a bivariate mean residual life function. JASA,97, pp907-917. [19] Lin,D.Y. and Ying,Z.(1993). A simple nonparametric estimation of the bivariate survival function under univariate censoring. Biometrika, 80, pp.573-581. [20] Meeker,W.Q. and Escobar,L.A.(1998). Statistical methods for reliability data. Wiley. [21] Mudholkar,G.S., Srivastava,D.K. and Freimer,M.(1995). The Exponentiated Weibull Family : A reanalysis of the Bus-Motor-Failure data. Theoretrical expansion of observed decreasing failure rate. Technometrics,42,1, pp.7-11. [22] Nair,K.R.M. and Nair,U.N.(1989). Bivariate mean residual life. IEEE Transactions on Reliability,38, pp.362-364. [23] Nelson,W.(2000). Theory and applications of hazard plotting for censored failure data. Technometrics, Vol 42, No 1, pp.12-25. [24] Proschan, F.L.(2000). Theoretrical expansion of observed decreasing failure rate. Technometrics, 42, 1, pp.7-11.
指導教授	許玉生(YU-SHENG HSU)	審核日期	2003-6-22
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