Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of a subclass of Tweedie distributions by a property of
  generalized stability   We introduce a class of distributions originating from an exponential family
and having a property related to the strict stability property. A
characteristic function representation for this family is obtained and its
properties are investigated. The proposed class relates to stable distributions
and includes Inverse Gaussian distribution and Levy distribution as special
cases. Due to its origin, the proposed distribution has a sufficient statistic.
Besides, it combines stability property at lower scales with an exponential
decay of the distribution's tail and has an additional flexibility due to the
convenient parametrization. Apart from the basic model, certain generalizations
are considered, including the one related to geometric stable distributions.

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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an