2004Mathematica ApplicataRequires access

Moment Consistency of Estimators for Semiparametric Regression Model under NA Samples

Jun Li

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Abstract

For the semiparametric regression model Y (j)(x in,t in)=t inβ+g(x in)+e (j)(x in),1≤j≤m,1≤i≤n,we defined estimators β m,n and g m,n(x) for β and g,proved the moment consistency of the estimators under NA samples are weak conditions.The results expanded and improved the corresponding ones of Hu Shuhe(1997).

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What this paper is about

For the semiparametric regression model Y (j)(x in,t in)=t inβ+g(x in)+e (j)(x in),1≤j≤m,1≤i≤n,we defined estimators β m,n and g m,n(x) for β and g,proved the moment consistency of the estimators under NA samples are weak conditions.The results expanded and improved the corresponding ones of Hu Shuhe(1997).

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Available abstract

For the semiparametric regression model Y (j)(x in,t in)=t inβ+g(x in)+e (j)(x in),1≤j≤m,1≤i≤n,we defined estimators β m,n and g m,n(x) for β and g,proved the moment consistency of the estimators under NA samples are weak conditions.The results expanded and improved the corresponding ones of Hu Shuhe(1997).

Key concepts: Estimator, Consistency (knowledge bases), Moment (physics), Semiparametric regression, Strong consistency, Mathematics, Statistics, Semiparametric model

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