# 臺灣博碩士論文加值系統

(18.207.132.116) 您好！臺灣時間：2021/07/29 21:28

:::

### 詳目顯示

:

• 被引用:0
• 點閱:136
• 評分:
• 下載:0
• 書目收藏:0
 在無母數迴歸方法中，樣條平滑(smoothing spline)法常被使用在估計右設限存活資料的風險函數，而此方法的關鍵在於平滑參數的選取。在過去的文獻中，有許多學者提出選取平滑參數的準則。例如:交叉驗證法(cross validation)，廣義交叉驗證法(generalized cross validation)。然而，這兩種準則並不是以降低均方差為前提下所發展的。因此，我們提出一準則，透過Ye (1998)的資料擾動法(date perturbation)和廣義自由度(generalized degrees of freedom)的概念，估計均方差的Stein不偏風險估計量，來選取平滑參數。藉由模擬方式來說明所提方法的有效性，並且應用所提方法於兩組實例資料。
 Smoothing spline is a popular technique to estimate the hazard function for right-censored lifetime data. When using smoothing spline, selecting the smoothing parameter is an important issue. The cross-validation and generalized cross-validation methods are frequently used to estimate the smoothing parameters. However, these two criteria are not developed for minimizing of the mean square error. In this work, we propose a method based on the Stein’s unbiased risk estimate of the mean square error and the concept of generalized degrees of freedom which are obtained via a data perturbation technique. The performance of the proposed method is justified by a simulation study. Finally the method is applied to two real data sets.
 1.研究目的2.文獻回顧 2.1 樣條平滑法 2.2 選取平滑參數 2.2.1 交叉驗證法 2.2.2廣義交叉驗證法3.研究方法4.模擬研究 4.1模擬設定 4.2模擬流程 4.3模擬結果5.實例分析 5.1多發性骨髓瘤研究資料 5.2德國乳腺癌研究資料6.結論與建議參考文獻
 Craven, P., Wahba, G., 1979. Smoothing noisy data with spline funciton: estimating the correct degree of smoothing by the method of generalized cross-validation. Numer. Math. 31, 377-403.Gonzàlez-Manteiga, W., Cao, R., Marron, J.S., 1996. Bootstrap Selection of the Smoothing Parameter in Nonparametric Hazard Rate Estimation. Journal of the American Statistical Association. 91, 1130-1140.Good, I.J., Gaskins, R.A., 1971. Nonparametric roughness penalties for probability densities. Biometrics. 58, 255-277.Huber, P.T., 1981. Robust Statistics. New York. Wiley.Krall, J.M., Uthoff, V.A., Harley, J.B., 1975. A step-up procedure for selecting variables associated with survival. Biometrics. 31(1), 49-57.Li, K.C., 1989. From Stein's Unbiased Risk Estimates to the Method of Generalized Cross Validation. Neural Computation. 2, 281-294.Rice, J., Silverman, B.W., 1991. Estiamting the Mean and Covariance Structure nonparametrically When the Data are Curves. Journal of the royal Statistical society Series B. 53(1), 233-243.Rosenberg, P.S., 1995. Hazard function estimation using B-splines. Biometrics. 51, 874-887.Sauerbrei, W., Royston, P., 1999. Building multivariable prognositc and diagnostic models: transformation of eh predictors using fractional polynomials. Journal of the Royal Statistical Society Series A. 162, 1, 71-94.Stein, C., 1981. Estimation of the Mean of a Multivariate Normal Distribution. The Annals of Statistics. 9, 1135-1151.Tanner, M.A., Wong, W.H., 1983. The Estimation of the Hazard Function form Randomly censored Data by the Kernel Method. The Annals of Statistics. 1, 989-993.Wand, M.P., Jones, M.C., 1995. Kernel Smothing. Chapman & Hall, New York.Ye, J., 1998. On Measuring and Correcting the Effects of Data Mining and Model Selection. Journal of the American Statistical Association. 93, 120-131.Ye, J., Shen, X., Huang, H.C., 2004. Comment on “The estimation of prediction error: covariance penalties and cross validation” by B. Efron. Journal of the American Statistical Association. 99, 634-637
 國圖紙本論文
 連結至畢業學校之論文網頁點我開啟連結註: 此連結為研究生畢業學校所提供，不一定有電子全文可供下載，若連結有誤，請點選上方之〝勘誤回報〞功能，我們會盡快修正，謝謝！
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 1 適應性模型選擇準則在Cox比例風險模型的應用 2 同時選取抽樣法與參數估計法於地理統計模型 3 Cox比例風險模型和Aalen加成模型的適應性模型選擇 4 Study on the Spatial Covariance Functions 5 Weighted Spatial Prediction Methods Using Data Perturbation

 無相關期刊

 1 模擬脊椎動物聽覺神經之電位訊號-點過程方法 2 人類心跳間隔時間變異－條件機率模型分析與比較 3 台灣地區過去六年間地震發生時間點之機率模型分析 4 適應性模型選擇準則在Cox比例風險模型的應用 5 設限資料參數模型的適合度檢定之模擬研究 6 特定指數族分佈具穩健序列法則與漸近最佳法則之模擬比較 7 雙樣本右設限存活資料之數據驅動機動檢定 8 Cox比例風險模型和Aalen加成模型的適應性模型選擇 9 根據假性觀察值鑑別右設限存活資料之最低有效劑量 10 偏常態衰退量模型之貝氏分析 11 有序資料之非均質累積機率模型 12 人類心跳間隔時間之條件分析-以眩暈與心律不整患者為例 13 左截右設限下，Aalen加成模型之適合度檢定 14 具共變數兩存活百分位數差異之信賴域估計 15 若干分配的常態近似研究

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室