Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity in CM Sequences   Most existing results about modeling and characterizing Gaussian Markov,
reciprocal, and conditionally Markov (CM) processes assume nonsingularity of
the processes. This assumption makes the analysis easier, but restricts
application of these processes. This paper studies, models, and characterizes
the general (singular/nonsingular) Gaussian CM (including reciprocal and
Markov) sequence. For example, to our knowledge, there is no dynamic model for
the general (singular/nonsingular) Gaussian reciprocal sequence in the
literature. We obtain two such models from the CM viewpoint. As a result, the
significance of studying reciprocal sequences from the CM viewpoint is
demonstrated. The results of this paper unify singular and nonsingular Gaussian
CM (including reciprocal and Markov) sequences and provide tools for their
application. An application of CM sequences in trajectory modeling with a
destination is discussed and illustrative examples are presented.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org