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Strong Consistency of Wavelet Estimator for Semiparametric Regression Model under Negatively Associated Sequences

Han Long-sheng

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Abstract

For semiparametic regression model yi=xiβ+g(ti)+ei,i=1,2,…,n,where error {e1,i=1,2,…,n} is NA sequences,we study the strong consistency for the wavelet estimator  and ■n(t) for β and g(t) under suitable conditions.

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What this paper is about

For semiparametic regression model yi=xiβ+g(ti)+ei,i=1,2,…,n,where error {e1,i=1,2,…,n} is NA sequences,we study the strong consistency for the wavelet estimator  and ■n(t) for β and g(t) under suitable conditions.

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Available abstract

For semiparametic regression model yi=xiβ+g(ti)+ei,i=1,2,…,n,where error {e1,i=1,2,…,n} is NA sequences,we study the strong consistency for the wavelet estimator  and ■n(t) for β and g(t) under suitable conditions.

Key concepts: Estimator, Semiparametric regression, Consistency (knowledge bases), Semiparametric model, Mathematics, Statistics, Econometrics, Wavelet

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