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A class of infinite...
A class of infinitely divisible distributions connected to branching processes and random walks
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- Bondesson, Lennart, 1944- (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Steutel, Fred (author)
- Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
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(creator_code:org_t)
- Elsevier, 2004
- 2004
- English.
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In: Journal of Mathematical Analysis and Applications. - : Elsevier. - 0022-247X. ; 295:1, s. 134-143
- Related links:
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https://doi.org/10.1...
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Abstract
Subject headings
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- A class of infinitely divisible distributions on {0,1,2,…} is defined by requiring the (discrete) Lévy function to be equal to the probability function except for a very simple factor. These distributions turn out to be special cases of the total offspring distributions in (sub)critical branching processes and can also be interpreted as first passage times in certain random walks. There are connections with Lambert's W function and generalized negative binomial convolutions.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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