| 研究生: |
邱克民 |
|---|---|
| 論文名稱: |
Armitage-Cox模型之適應檢定於不完整樣本之應用 |
| 指導教授: | 程爾觀 |
| 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: | 1986 |
| 畢業學年度: | 74 |
| 語文別: | 中文 |
| 論文頁數: | 55 |
| 相關次數: | 點閱:161 下載:0 |
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目錄
第一章 緒論………1
第一節 研究動機………1
第二節 本文結構………4
第二章 隨機設限樣本………5
第一節 隨機設限樣本中的生存分配函數估計量………5
第二節 Armitage-Cox 模型………10
第三章 隨機設限樣本的適應檢定………18
第一節 Correlation適應檢定………18
第二節 New better than used 檢定………30
第四章 數值分析與結果………38
第一節 數值結果………38
第二節 分析討論………43
第五章 結論………52
參考書目………54
參考書目
Armitage,P.(1959)The comparison of survival curves: JRSS,A,. 122,279-300.
Atkinson,K. E.(1918)An introduction to Numerical Analysis: Wiey,New York.
Barlow,R. E and Proschan, F.(1975):Statistical Theory of Reliability and Life testing probability Models: Holt, Rinehart and Winston.
Breslow, N. and Crowley, J. (1974) : A large sample study of the life table and product limit estimates under random censorship : Ann. Statis.,V2, 3, 437-453.
Chen,C. C.(1984) : A correlation goodness-of-fit test for randomly censored data : Biometrika,72, 2, 315-322.
Chen, Y.Y., Hollander, M. and Langberg, N.A.(1983) : Testing whether new is better than used with randomly censored data : Ann.Statis., Vol II, 1, 49-58.
Cheng, P. E. and Lin, G. D.(1984) : Maximam likelihood estimation of survival function under the Koziol-Green proportional Hazards Model: Institute of Statistics Academia Sinica Taipei, Taiwan.
Cox,D. R. (1959):The analysis of exponentially distributed Life-times with two types of failure:JRSS,8,21,411-421.
Gourlay Watson (1973) : Computational methods for matrix eigenprob : Wiley, New York
Hollander,M and Proschan, F. (1972) : Testing wheteher New is better than used : Ann. Math. Statis., Vol II, 1, 49-58.
Kaplan,E. L. and Meier, P.(1958):Nonparametric estimation from incomplete observations : JASA, 53, 457-481.
Kaufmann, A., Grouchko, D. and Cruon, R.(1977) : Mathematical Models for the study of the reliability of systems : Academic press.
Koziol, J. A. and Green, S. B. (1976)A Cramer-von Mises statistic for randomly censored data : Biometrika, 63, 465-474.
Serfling, R. J. (1980) : Approximation theorems of mathematical statistics : Wiley, NewYork.
Wilkinson, J.H. and Reinsch, C. (1971) : Linear Algebra : Springer-Verlag, NewYork.
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