Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixed domain asymptotics for a stochastic process model with time trend
  and measurement error   We consider a stochastic process model with time trend and measurement error.
We establish consistency and derive the limiting distributions of the maximum
likelihood (ML) estimators of the covariance function parameters under a
general asymptotic framework, including both the fixed domain and the
increasing domain frameworks, even when the time trend model is misspecified or
its complexity increases with the sample size. In particular, the convergence
rates of the ML estimators are thoroughly characterized in terms of the growing
rate of the domain and the degree of model misspecification/complexity.

25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph