Stable laws and Beurling kernels
Ostaszewski, Adam
(2016)
Stable laws and Beurling kernels.
Advances in Applied Probability, 48 (A).
pp. 239-248.
ISSN 0001-8678
We identify a close relation between stable distributions and the limiting homomorphisms central to the theory of regular variation. In so doing some simplifications are achieved in the direct analysis of these laws in Pitman and Pitman [PitP]; stable distributions are themselves linked to homomorphy.
| Item Type | Article |
|---|---|
| Keywords | Stable laws,Beurling regular variation,quantifier weakening,ho-momorphism,Goldie equation,Golab-Schinzel equation,Levi-Civita equation. |
| Departments | Mathematics |
| DOI | 10.1017/apr.2016.53 |
| Date Deposited | 16 May 2016 15:43 |
| URI | https://researchonline.lse.ac.uk/id/eprint/66526 |
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ORCID: https://orcid.org/0000-0003-2630-8663