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右設限資料在迴歸轉換模型下之參數估計法比較
Thesis

右設限資料在迴歸轉換模型下之參數估計法比較

賴穗源
Masters, National Tsing Hua University
1999

Abstract

估計式迴歸轉換模型右設限資料ROC 方法篩子和離散方法Sigma-Cox 比例風險模型Sigma-比例勝率模型 Estimating equationRegression-transformation modelRight censored dataROC methodSieve and Discrete methodSigma-cox PH modelSigma-proportional odds model
Recently Chen and Chang (1999) proposed two approaches, the discrete and sieve methods, for regression-transformation model with heteroscedastic and right censored data. In their paper, they only compare with two methods under situation that the error term is standard extreme value distributed and there is two sample data. In our paper, we would like to compare these two approaches with more approaches, and simultaneously we also consider the situation that the error term is standard logistic distributed. By these more extensive simulative comparisons, we research the advantage of using these two methods when regression-transformation models are appropriate.2 Estimation methods 2.1 The estimation method of Cheng et al. (1995) 2.2 The maximum partial likelihood method 2.3 The estimation method of Dabrowska & Doksum (1988a) 2.4 The ROC method 2.5 The estimation methods of Chen and Chang (1999) 2.5.1 The discrete method 2.5.2 The sieve method3 Simulations on two-sample case 3.1 σ-proportional hazard model 3.1.1 γ is known and equal to zero 3.1.2 γ is unknown 3.2 σ-proportional odds model 3.2.1 γ is known and equal to zero 3.2.2 γ is unknown4 Simulations on one-sample case 4.1 σ-proportional hazard model 4.1.1 γ is known and equal to zero 4.1.2 γ is unknown 4.2 σ-proportional odds model 4.2.1 γ is known and equal to zero 4.2.2 γ is unknown5 DiscussionReferences

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