Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multimodality of the Markov binomial distribution   We study the shape of the probability mass function of the Markov binomial
distribution, and give necessary and sufficient conditions for the probability
mass function to be unimodal, bimodal or trimodal. These are useful to analyze
the double-peaking results from a PDE reactive transport model from the
engineering literature. Moreover, we give a closed form expression for the
variance of the Markov binomial distribution, and expressions for the mean and
the variance conditioned on the state at time $n$.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin