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A direct approach to the stable distributions

Authors :
Goldie, C. M.
Mijatovic, A.
Pitman, E. J. G.
Pitman, Jim
Source :
Advances in Applied Probability; July 2016, Vol. 48 Issue: 1 p261-282, 22p
Publication Year :
2016

Abstract

AbstractThe explicit form for the characteristic function of a stable distribution on the line is derived analytically by solving the associated functional equation and applying the theory of regular variation, without appeal to the general Lévy?Khintchine integral representation of infinitely divisible distributions.

Details

Language :
English
ISSN :
00018678 and 14756064
Volume :
48
Issue :
1
Database :
Supplemental Index
Journal :
Advances in Applied Probability
Publication Type :
Periodical
Accession number :
ejs40848496
Full Text :
https://doi.org/10.1017/apr.2016.55