Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong consistency of kernel estimator in a semiparametric regression
  model   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 $\sqrt{n}\left(\widehat{\Lambda}_n-\Lambda\right)$, as
$n\rightarrow +\infty$. In this paper, we obtain, under specified conditions,
the almost sure convergence of $\widehat{\Lambda}_n$ to $\Lambda$, as
$n\rightarrow +\infty$.

5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int