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Branching and clustering models associated with the ‘lost-games distribution’

Published online by Cambridge University Press:  14 July 2016

Adrienne W. Kemp
Affiliation:
The Queen's University of Belfast
C. D. Kemp
Affiliation:
The Queen's University of Belfast

Extract

We use Gurland's (1957) definition and notation for generalized distributions, i.e., given random variables Xi with probability generating functions gi (s), i = 1, 2, 3, if g 3(s) = g 1[g 2(s)], we say that X 3 is X 1 generalized by X 2 and write X 3~ X 1VX 2.

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Type
Short Communications
Copyright
Copyright © Applied Probability Trust 

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