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NA Samples in the Statistic Models

Author: XiongPing
Tutor: LiuZuoYan
School: Wuhan University
Course: Probability and Statistics
Keywords: Linear model NA error sequence Least squares estimation Regression function Kernel estimation Consistency
CLC: O212.1
Type: Master's thesis
Year: 2005
Downloads: 80
Quote: 0
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Abstract


Samples NA dependent case , the least squares estimation of the regression coefficients of the linear regression model Strong Consistency of error density estimation strong , weak consistency , as well as non-parametric regression model regression the KERNEL estimated Consistency . Text includes the following two main parts : the first part : we get the the sample NA dependent linear regression model y_i = x'_iβ e_i , i = 1,2 , ... , n , the least squares estimation of the regression coefficients Strong Consistency prove the error estimates of weak consistency , strong consistency, and gives it the convergence rate . Part II: We studied a sample of NA - dependent , non- parametric regression model Y_i = g ( X_i ) ε_ii and = 1,2 , ... , n , the kernel estimator of the regression function strong , weak Consistency .

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Mathematical Statistics > General mathematical statistics
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