Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence theory for density estimation, Poisson processes and
  Gaussian white noise with drift   This paper establishes the global asymptotic equivalence between a Poisson
process with variable intensity and white noise with drift under sharp
smoothness conditions on the unknown function. This equivalence is also
extended to density estimation models by Poissonization. The asymptotic
equivalences are established by constructing explicit equivalence mappings. The
impact of such asymptotic equivalence results is that an investigation in one
of these nonparametric models automatically yields asymptotically analogous
results in the other models.

14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex