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題名:A Comparison of Parametric and Semiparametric Efficiency Bounds for Censored and Noncensored Regression Models
書刊名:經濟論文叢刊
作者:林惠玲 引用關係
出版日期:1993
卷期:21:3
頁次:頁299-326
主題關鍵詞:方程式半參數非截斷迴歸參數最小變異限值截斷
原始連結:連回原系統網址new window
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     本文利用martingale connections導出截斷迴歸方程式與非截斷迴歸方程 式分別在參數條件與半參數條件下,估計式之最小變異限值,並加以比較。該最 小變異限值可作為評估估計式優劣之準則,亦有助於導出有效性估計式。此外本 文利用數據實驗得知:在截斷迴歸方程式下,資料的截斷之比例愈大,其半參數 的最小變異限值失去的有效性愈小,此結果亦指出半參數估計方法在具高截斷比 例的迴歸方程式中,有利用之價值。
     This paper presents the calculation of parametric and semiparametric information bound for noncensored and censored regression models using martingale connections. The method is easy tocarry out in comparison with what Begun et. al. (1983) suggested.The examples shown in this paper indicate that there exists loss ofefficiency in semiparametric efficiency bound for noncensored andcensored regression models. In addition, in non-censored regressionmodels, the semiparametric efficiency bound can attain parametricefficiency bound in some cases. But in censored regression models,the semiparametric efficiency bound can not attain parametric efficiency bound. However, the numerical experiments show if censoring degree is high, the loss of efficiency decreases. It implies thatthe use of semiparametric estimation for censored regressionmodel with high censoring degrees suffers relatively less inefficiency from semiparametric methods.
期刊論文
1.Begun, J. M.、Hall, W. J.、Huang, W.、Wellner, J. A.(1983)。Information and asymptotic efficiency in parame- tric-nonparametric models。Ann, Statist,11,432-453。  new window
2.Bickel, P. J.(1982)。On adaptive estimation。The Annals of Statistics,10(3),647-671。  new window
3.Cosslett, S. R.(1987)。Efficiency Bounds for Distribution-Free Estimators of the Binary Choice and the Censored Regression Models。Econometrica,55(3),559-585。  new window
4.Censored Survival Time Data。Scand. J. of Statistics。  new window
5.Hajek, J.(1970)。A Characterization of Limiting Distributions of Regular Estimates。Z. Wahrscheinlichkeitstheorieverw. Gebiete,14,323-330。  new window
6.Manski, C.(1984)。Adaptive Estimation of Non-linear Regression Models。Econometric Reviews,3,145-194。  new window
7.Schick, A.(1986)。On Asymptotically Efficient Estimation in Semiparametric Model。The Annals of Statistics,14(3),1139-1151。  new window
8.Stone, C. J.(1975)。Adaptive Maximum Likelihood Estimators of a Location Parameter。The Annals of Statistics,3(2),267-284。  new window
9.Cox, D. R.(1972)。Regression models and life-tables。Journal of the Royal Statistical Society., Series B (Methodological),34(2),187-220。  new window
會議論文
1.Hajek, J.(1972)。Local Asymptotic Minimax And Admissibility in Estimation。The Sixth Berkeley Symposium on Mathematical Statistics And Probability。Berkeley:University of California。175-194。  new window
2.Newey, W. K.(1988)。An Introduction to Semiparametric Efficiency Bounds。1988 European meeting of the Econometric Society。  new window
研究報告
1.Ritov, Y.、Wellner, J. A.(1987)。Censoring, Martingales, and the Cox Model。University of Washington。  new window
圖書
1.Elliott, R. J.(1982)。Stochastic calculus and applications。New York:Springer-Verlag。  new window
2.Karlin, S.、Taylor, H. M.(1975)。A First Course in Stochastic Processes。Academic Press。  new window
3.Bickel, P. J.、Klaassen, C. A. J.、Ritov, Y.、Wellner, J. A.(1988)。Efficient and Adaptive Inference in Semiparametric Models。Baltimore:Johns Hopkins University Press。  new window
4.Luenberger, David G.(1969)。Optimization by Vector Space Methods。New York:John Wiley。  new window
 
 
 
 
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