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Showing papers by "Michael Boehnke published in 1981"


Journal ArticleDOI
TL;DR: In this paper, the authors consider methods for computing moments connected with subcritical multitype branching processes and prove simultaneously the existence of the moments by stressing the interplay between moment and cumulant structure, and they consider the kinds of moments arising in (1) times to extinction, (2) ultimate number of particles starting from a single particle, and (3) equilibrium numbers of particles for subcritical processes experiencing immigration.
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. SUBCRITICAL MULTITYPE BRANCHING PROCESS; MOMENT; CUMULANT; COMPUTATION

13 citations