Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizations of the Extended Geometric, Harris, Negative Binomial
  and Gamma Distributions   Extended geometric distribution is defined and its mixture is characterized
by the property of having completely monotone probability sequence. Also,
convolution equations and probability generating functions are used to
characterize extended geometric distributions. Further, some characterizations
of Harris and negative binomial distributions based on probability generating
functions are obtained. Relations between these distributions are derived and
finally a gamma distribution is characterized in terms of its Laplace
transform.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th