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Title | 貝氏多項式迴歸模型選取之研究 |
Creator | 洪幸如 HONG, XING-RU |
Contributor | 鄭天澤 ZHENG, TIAN-ZE 洪幸如 HONG, XING-RU |
Key Words | 多項式迴歸 貝氏選模法 |
Date | 1992 1991 |
Date Issued | 2-May-2016 15:17:40 (UTC+8) |
參考文獻 | Allen, D.M. (l971a), " Mean Square Error of Prediction as a Criterion for Selecting Variables" (with discussion), Technometrics, 13,469-481. Berger,J. (1988), Comment on 1/ Bayesian Variable Selection in Linear Regression", Journal of the American Statistical Association,83,1033-1034. Box, G.E.P. and Tiao, G.C.(l973), Bayesian Inference in Statistical Analysis, Reading,MA: Addison-Wesley. Draper, N.R. and Smith, H. (1981), Applied Regression Analysis. 2nd ed New York: Wiley. Guttman, I.(1967), "The Use of the Concept of a Future Observation in Goodness-of-Fit Problems", Journal of the Royal Statistical Society, Ser.B, 29, 83-100. Halpern, E.F.(l973), "Polynomial Regression From a Bayesian Approach", Journal of the American Statistical Association, 68, 137·143. Hocking, R.R.(l976), "The Analysis and Selection of Variables in Linear Regression", Biometrics, 32, 1-51. Kendall, M. and Stuart, A.(1977), The Advanced Theory of Statistics. Vol.1, 4th ed., London: Griffin. Kleinbaum / Kupper (1978), Applied Regression Analysis ,Duxbury Press. Linhart, H. and Zucchini, W.(1986), Model Selection. New York: Wiley. Mallows, C.L.(1973), "Some Comments on C ", Technometrics, 15, 661-675. Mitchell, T.J. and Beauchamp, J.J.(1986a), "Bayesian Variable Selection in Regression", Report ORNL-6328, Oak Ridge National Laboratory, Oak Ridge, TN. (1988), "Bayesian Variable Selection in Linear Regression"(with discussion), Journal of the American Statistical Association,83,1023-1036. Rainville, E.D.(1960), Special Functions. New York: Chelsea. San Martini, A. and Spezzaferri, P.(1984), "A Predictive Model Selection Criterion",Journal of the Royal Statistical Society,Ser.B, 46,296-303. Sansone, G.(1977), Orthogonal Functions. New York: Krieger. Smith, A.P.M. and Spiegelhalter, D.J.(1980), "Bayes Factors and Choice Criteria for Linear Models", Journal of the Royal Statistical Society, Ser.B, 42, 213-220. Spiegelhalter, DJ. and Smith, A.F.M.(1982), "Bayes Factors for Linear and Log-Linear Models with Vague Prior Information", Journal of the Royal Statistical Society, Ser.B, 44, 377-387. Thompson, M.L.(1978), "Selection of Variables in Multiple Regression ", International Statistical Review, 46, 1-49 and 129-146. |
Description | 碩士 國立政治大學 統計學系 |
資料來源 | http://thesis.lib.nccu.edu.tw/record/#B2002004657 |
Type | thesis |
dc.contributor.advisor | 鄭天澤 | zh_TW |
dc.contributor.advisor | ZHENG, TIAN-ZE | en_US |
dc.contributor.author (Authors) | 洪幸如 | zh_TW |
dc.contributor.author (Authors) | HONG, XING-RU | en_US |
dc.creator (作者) | 洪幸如 | zh_TW |
dc.creator (作者) | HONG, XING-RU | en_US |
dc.date (日期) | 1992 | en_US |
dc.date (日期) | 1991 | en_US |
dc.date.accessioned | 2-May-2016 15:17:40 (UTC+8) | - |
dc.date.available | 2-May-2016 15:17:40 (UTC+8) | - |
dc.date.issued (上傳時間) | 2-May-2016 15:17:40 (UTC+8) | - |
dc.identifier (Other Identifiers) | B2002004657 | en_US |
dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/89246 | - |
dc.description (描述) | 碩士 | zh_TW |
dc.description (描述) | 國立政治大學 | zh_TW |
dc.description (描述) | 統計學系 | zh_TW |
dc.description.tableofcontents | 第一章緒論..........1 第二章多項式迴歸的貝氏選模..........5 2.1 正交多項式及其性質..........5 2.2 貝氏選模法..........9 2.2.1 符號說明及假設..........10 2.2.2 事前分配..........10 2.2.3 事後機率..........12 2.2.4 γ的選擇..........15 2.3 與Cp 的比較..........17 第三章模擬結果分析..........19 3.1 自變數服從常態分配..........19 3.2 自變數服從均等分配..........22 3.3 自變數服從加瑪分配..........24 3.4 實例..........25 第四章討論及建議..........27 參考文獻..........38 | zh_TW |
dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002004657 | en_US |
dc.subject (關鍵詞) | 多項式迴歸 | zh_TW |
dc.subject (關鍵詞) | 貝氏選模法 | zh_TW |
dc.title (題名) | 貝氏多項式迴歸模型選取之研究 | zh_TW |
dc.type (資料類型) | thesis | en_US |
dc.relation.reference (參考文獻) | Allen, D.M. (l971a), " Mean Square Error of Prediction as a Criterion for Selecting Variables" (with discussion), Technometrics, 13,469-481. Berger,J. (1988), Comment on 1/ Bayesian Variable Selection in Linear Regression", Journal of the American Statistical Association,83,1033-1034. Box, G.E.P. and Tiao, G.C.(l973), Bayesian Inference in Statistical Analysis, Reading,MA: Addison-Wesley. Draper, N.R. and Smith, H. (1981), Applied Regression Analysis. 2nd ed New York: Wiley. Guttman, I.(1967), "The Use of the Concept of a Future Observation in Goodness-of-Fit Problems", Journal of the Royal Statistical Society, Ser.B, 29, 83-100. Halpern, E.F.(l973), "Polynomial Regression From a Bayesian Approach", Journal of the American Statistical Association, 68, 137·143. Hocking, R.R.(l976), "The Analysis and Selection of Variables in Linear Regression", Biometrics, 32, 1-51. Kendall, M. and Stuart, A.(1977), The Advanced Theory of Statistics. Vol.1, 4th ed., London: Griffin. Kleinbaum / Kupper (1978), Applied Regression Analysis ,Duxbury Press. Linhart, H. and Zucchini, W.(1986), Model Selection. New York: Wiley. Mallows, C.L.(1973), "Some Comments on C ", Technometrics, 15, 661-675. Mitchell, T.J. and Beauchamp, J.J.(1986a), "Bayesian Variable Selection in Regression", Report ORNL-6328, Oak Ridge National Laboratory, Oak Ridge, TN. (1988), "Bayesian Variable Selection in Linear Regression"(with discussion), Journal of the American Statistical Association,83,1023-1036. Rainville, E.D.(1960), Special Functions. New York: Chelsea. San Martini, A. and Spezzaferri, P.(1984), "A Predictive Model Selection Criterion",Journal of the Royal Statistical Society,Ser.B, 46,296-303. Sansone, G.(1977), Orthogonal Functions. New York: Krieger. Smith, A.P.M. and Spiegelhalter, D.J.(1980), "Bayes Factors and Choice Criteria for Linear Models", Journal of the Royal Statistical Society, Ser.B, 42, 213-220. Spiegelhalter, DJ. and Smith, A.F.M.(1982), "Bayes Factors for Linear and Log-Linear Models with Vague Prior Information", Journal of the Royal Statistical Society, Ser.B, 44, 377-387. Thompson, M.L.(1978), "Selection of Variables in Multiple Regression ", International Statistical Review, 46, 1-49 and 129-146. | zh_TW |