Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On distributional properties of perpetuities   We study probability distributions of convergent random series of a special
structure, called perpetuities. By giving a new argument, we prove that such
distributions are of pure type: degenerate, absolutely continuous, or
continuously singular. We further provide necessary and sufficient criteria for
the finiteness of $p$-moments, $p>0$ as well as exponential moments. In
particular, a formula for the abscissa of convergence of the moment generating
function is provided. The results are illustrated with a number of examples at
the end of the article.

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The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th