Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multivariate boundary regression models   In this work, we consider a multivariate regression model with one-sided
errors. We assume for the regression function to lie in a general H\"{o}lder
class and estimate it via a nonparametric local polynomial approach that
consists of minimization of the local integral of a polynomial approximation
lying above the data points. While the consideration of multivariate covariates
offers an undeniable opportunity from an application-oriented standpoint, it
requires a new method of proof to replace the established ones for the
univariate case. The main purpose of this paper is to show the uniform
consistency and to provide the rates of convergence of the considered
nonparametric estimator for both multivariate random covariates and
multivariate deterministic design points. To demonstrate the performance of the
estimators, the small sample behavior is investigated in a simulation study in
dimension two and three.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics