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- W2899694553 abstract "Estimating the effective dimension reduction (EDR) space, related to the semiparametric regression model introduced by Li cite{sir}, is based on the estimation of the covariance matrix $Lambda$ of the conditional expectation of the vector of predictors given the response. An estimator $widehat{Lambda}_n$ of $Lambda $ based on kernel method was introduced by Zhu and Fang cite{Asymptotics} who then derived, under some conditions, the asymptotic distribution of $sqrt{n}left(widehat{Lambda}_n-Lambdaright)$, as $nrightarrow +infty$. In this paper, we obtain, under specified conditions, the almost sure convergence of $widehat{Lambda}_n$ to $Lambda$, as $nrightarrow +infty$." @default.
- W2899694553 created "2018-11-16" @default.
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- W2899694553 date "2018-10-16" @default.
- W2899694553 modified "2023-09-26" @default.
- W2899694553 title "Strong consistency of kernel estimator in a semiparametric regression model" @default.
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