Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kernel estimation of the intensity of Cox processes   Counting processes often written $N=(N_t)_{t\in\mathbb{R}^+}$ are used in
several applications of biostatistics, notably for the study of chronic
diseases. In the case of respiratory illness it is natural to suppose that the
count of the visits of a patient can be described by such a process which
intensity depends on environmental covariates. Cox processes (also called
doubly stochastic Poisson processes) allows to model such situations. The
random intensity then writes $\lambda(t)=\theta(t,Z_t)$ where $\theta$ is a
non-random function, $t\in\mathbb{R}^+$ is the time variable and
$(Z_t)_{t\in\mathbb{R}^+}$ is the $d$-dimensional covariates process. For a
longitudinal study over $n$ patients, we observe
$(N_t^k,Z_t^k)_{t\in\mathbb{R}^+}$ for $k=1,\ldots,n$. The intention is to
estimate the intensity of the process using these observations and to study the
properties of this estimator.

6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics