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研究生: 劉岱玟
論文名稱: 在星形對立假設下之最大概似比檢定
指導教授: 蔡明田
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 1990
畢業學年度: 78
語文別: 中文
論文頁數: 33
相關次數: 點閱:200下載:0
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  • 目錄
    一 緒論………1
    二 文獻回顧………3
    三 研究結果………5
    1 最大概似比檢定統計量及其分配………5
    2 檢定力函數之對稱性及遞增性………16
    3 與非限定對立假設之比較………19
    四 討論………31
    參考文獻………32

    參考文獻
    [1] Ayer,M., H. D. Brunk, G. M. Ewing, W. T. Reid, and E. Silverman (1955).
    "An empirical distribution function for sampling with incomplete information", Ann.Math.Statist., 26, 641-7.
    [2] Barlow,R. E., D. J. Bartholomew, J. M. Bremner, and H. D. Brunk (1972).
    Statistical Inference under Order Restriction, John Wiley and Sons, London.
    [3] Bartholomew,D. J. (1959). "A test of homogeneity for ordered alternatives",Biometrika, 46. 36-48.
    [4] Bartholomew , D. J. (1961). "A test of homogeneity of means under restricted alternatives" (with discussion), J. R. Statist.Soc. (B),23. 239-81.
    [5] Boswell.M. T. (1966). "Estimating and testing trend in a stochastic process of Poisson type", Ann.Math.Statist ., 37, 1564-73.
    [6] Chacko,V. J. (1963). "Testing homogeneity against ordered alternatives",Ann.Math.Statist ., 34. 945-56.
    [7] Chernoff, H. (1954). "On the distribution of the likelihood ratio",Ann.Math.Statist., 25. 573-8.
    [8] Dykstra,R. L., and T. Robertson (1982). "Order restricted statistical tests on multinomial and Poisson parameters : The star-shaped restriction". Ann.Statist ., 10,1246-52.
    [9] Kudo.A. (1963). "A multivariate analogue of the one-sided test".Biometrika. 50,403-18 .
    [10] Nuesch.P. E. (1966). "On the problem of testing location in multivariate populations for restricted alternatives", Ann. Math .Statist ., 37. 113-19.
    [11] Robertson, T., and E. J. Wegman (1978). "Likelihood ratio tests for order restrictions in exponential families", Ann.Statist.,6. 485-505.
    [12] Robertson.T ., F. T. Wright. and R. L. Dykstra (1987). Order Restricted Statistical Inference. John Wiley and Sons, London.
    [13] Sasabuchi,S ., and D. D. S. Kulatunga (1985). "Some approximations for the null distribution of the E2 statistic used in order restricted inference", Biomtrika. 72. 476-80.
    [14] Singh,B., and F. T. Wright (1987). "Approximations to the power of some order restricted tests with slippage alternatives". Biometrika,74.

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