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    题名: 有關預測柏拉圖母體之樣本觀測值的研究
    The Prediction Problems of Sample Observations for Pareto Distribution
    作者: 吳碩傑
    贡献者: 歐陽良裕
    吳碩傑
    日期: 1989
    上传时间: 2016-05-04 14:24:01 (UTC+8)
    摘要: 論文摘要
    在有關產品可靠度問題之研究中,通常需要做產品抽樣壽命試驗。由於壽命試驗一一般屬於破壞性試驗,且費時頗久,成本支出甚鉅。因此,如何快速且有效地得到試驗結果,以作為評估及改善產品可靠度的依據,並供決策參考,便極為重要。
    本文討論在母體壽命為柏拉圖分布時,研究如何以早期發生故障之樣本壽命觀測值來求得其後發生故障之樣本觀測值的點預測及區間預測。
    參考文獻: [1] Draper, N. R. and Smith, H. (1981). Applied Regression Analysis. 2nd. Ed., John Wiley & Sons, New York.
    [2] Engelhardt, M., Bain, L. J., & Shiue, Wei-Kei (1986). Statistical Analysis of a compound exponential failure model. Journal of Statistical Computation and Simulation, Vol.23, pp 299-315.
    [3] Goldberger, A. S. (1962). Best linear unbiased prediction in the generalized lineap regression model. Journal of American Statistical Association, Vol. 57, pp 369-375.
    [4] Graybill, F. A. (983). Matrices with Applications in Statistics. 2nd. Ed. Wadsworth, Belmont, CA.
    [5] Kaminsky, K. S., Mann, N. R., & Nelson, P. 1. (975). Best and simplified linear invariant prediction of order statistics in location and scale families. Biometrika, Vol. 62, pp 525-527.
    [6] Kaminsky, K. S. and Nelson, P. 1. (975). Best linear unbiased prediction of order statistics in location and scale families. Journal of American Statistical Association, Vol. 70, pp 145-150.
    [7] Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. John Wiley & Sons, New York.
    [8] Lloyd, E. H. (1952). Least-squares estimation of location and scale parameters using order statistics. Biometrika, Vol. 39. pp 88-95.
    [9] Mann, H. R. (1969). Optimum estimators for linear functions of location and scale parameters. Annals of Mathematical Statistics, Vol. 40, pp 2149-2155.
    [10] Mann, N. R., Schafer, R. E., & Singpurwalla, N. D. (974). Methods for Statjstical Analysjs of Reljability and Life Data. John Wiley & Sons, New York.
    [11] Munro, A. H. and Wixley, R, A. J. (970). Estimators based OD order statistics of small samples from a three-parameter lognormal distribution. Journal of American Statistical Association, Vol. 65. pp 212-225.
    [12] Nelson, W. and Schmee, J. (1981). Predition limits for the last failure time of a (log) normal sample from early failures. IEEE Transactions on Reliability, Vol. R-30, pp 461-463.
    [13] Pyke, R. (1965). Spacings. Journal of the Royal Statistical Society Series B, Vol. 27, pp 395-449 (with discussion ).
    [14] Vannman, K. (1976). Estimators based on order statistics from a Pareto distribution. Journal of American Statistical Association. Vol. 71, pp 704-708.
    [15] Wingo, D. R. (1982). Unimodality of the Pareto distribution likelihood function for multicensored samples and implications for estimations. Communications in Statistics -Theory and Methods. Vol. 11, pp 1129-1138.
    描述: 碩士
    國立政治大學
    統計學系
    資料來源: http://thesis.lib.nccu.edu.tw/record/#B2002005727
    数据类型: thesis
    显示于类别:[統計學系] 學位論文

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