Moment computations for subcritical branching processes
- 1 March 1981
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (1) , 52-64
- https://doi.org/10.2307/3213166
Abstract
The present paper considers methods for computing moments connected with subcritical multitype branching processes. By stressing the interplay between moment and cumulant structure, it is possible to prove simultaneously the existence of the moments. The kinds of moments considered are those arising in (1) times to extinction, (2) ultimate numbers of particles starting from a single particle, and (3) equilibrium numbers of particles for subcritical processes experiencing immigration.Keywords
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