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研究生:溫存沛
研究生(外文):Tsun-pei Wen
論文名稱:迴歸模型含缺失資料之估計比較
論文名稱(外文):A comparison of estimators forregression models with censored data
指導教授:黃文瀚黃文瀚引用關係李燊銘李燊銘引用關係
指導教授(外文):Wen-han HwangShen-ming Lee
學位類別:碩士
校院名稱:逢甲大學
系所名稱:統計與精算所
學門:數學及統計學門
學類:統計學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:中文
論文頁數:52
中文關鍵詞:馬可夫鏈蒙地卡羅法卜瓦松迴歸模型
外文關鍵詞:Poisson regression model.Markov Chain Monte Carlo
相關次數:
  • 被引用被引用:0
  • 點閱點閱:239
  • 評分評分:
  • 下載下載:50
  • 收藏至我的研究室書目清單書目收藏:1
本文考慮在迴歸模型中,當依變項變數為右尾或左尾截斷缺失時的估計問題。
我們將以模擬分析比較簡易估計法、最大概似估計法與馬可夫鏈蒙地卡羅法等三
種估計方法之表現,並提出建議。除了一般的線性迴歸外,也將針對卜瓦松迴歸
模型做分析討論。文中並提供三個實例分析的結果。
We consider the estimate question of dependent variable that is rightcensored
or left-censored. And propose simulation analysis to compare
three difference estimate methods including Naive, Maximum Likelihood
Estimation (MLE), and Markov Chain Monte Carlo (MCMC). We did not only
analyze general regression model, but also discuss the Poisson regression
model. In this article, we provide the results of three empirical
analyses.
第一章 緒論................................................................................................................1
第二章 文獻探討........................................................................................................3
2.1 簡易估計法..................................................................................................4
2.2 Fair疊代法.................................................................................................4
2.3 最大概似估計法..........................................................................................6
2.4 貝氏估計法..................................................................................................7
第三章 有缺失值的卜瓦松迴歸模型......................................................................10
3.1 簡易估計法................................................................................................10
3.2 最大概似估計法........................................................................................11
3.3 貝氏估計法................................................................................................12
第四章 模擬與實例分析..........................................................................................14
4.1 實例分析....................................................................................................14
4.2 模擬方法....................................................................................................21
4.3 模擬結果分析............................................................................................22
第五章 結論..............................................................................................................24
參考文獻......................................................................................................................25
附錄 A........................................................................................................................26
附錄 B........................................................................................................................27
附錄 C........................................................................................................................43
Abbas A., Peter S. (1982) An Investigation of the Robustness of the Tobit
Estimator to Non-Normality. Econometrica, 50 50, 1055-1064.
Kai L. (1998) Bayesian Inference in a Simultaneous Equation Model with
Limited Dependent Variables. Journal of Econometrics, 85 85, 387-400.
Kishore G. (1998) Comparing Theories of Endogenous Protection: Bayesian
Comparison of Tobit Models Using Gibbs Sampling Output. The Review of
Economics and Statistics, 80 80, 128-140.
Lung F. L. (1985) The Common Structure of Tests for Selectivity Bias,
Serial Correlation, Heteroscedasticity and Non-Normality in the Tobit
Model. International Economic Review, 26 26, 1-20.
Nicky B., Mary K. C., Karen V. (1997) CODA: Convergence Diagnosis and
Output Analysis Software for Gibbs Sampling Output, Version 4.0, MRC
Biostatistics Unit, Cambridge.
Ray C. F. (1978) A Theory of Extramarital Affairs. Journal of Political
Economy, 86 86, 45-61.
Randall J. O. (1978) Note on the Uniqueness of the Maximum Likelihood
Estimator for the Tobit Model. Econometrica, 46 46, 1211-1215.
Songnian C.; Shakeeb K. (2000) Estimation of a Nonparametric Censored
Regression Model, unpublished manuscript.
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