跳到主要內容

簡易檢索 / 詳目顯示

研究生: 巫世榮
Shih_Rung Wu
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
指導教授: 許玉生
YU-SHENG HSU
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 數學系
Department of Mathematics
畢業學年度: 91
語文別: 中文
論文頁數: 28
中文關鍵詞: 最大概似估計間接參數估計中央極限定理直接參數估計
外文關鍵詞: Maximum likelihood estimator, Central limit theorem, Indirect parametric estimation, Direct parametric estimation
相關次數: 點閱:15下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 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。


    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.

    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

    [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.

    QR CODE
    :::