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Titlebook: Branching Processes; S?ren Asmussen,Heinrich Hering Book 1983 Springer Science+Business Media New York 1983 Branching process.Galton-Watso

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樓主: Glitch
21#
發(fā)表于 2025-3-25 04:59:52 | 只看該作者
Magnesium Supplementation and BoneLet {F.} be a pre-generating semigroup. For convenience let us assume (X, ) to be such that each pre-generating functional is a generating functional, cf. V.2. Since F.[0] is nondecreasing by (F.2), ., exists and satisfies ..
22#
發(fā)表于 2025-3-25 10:50:51 | 只看該作者
Magnesium und seine LegierungenThe limit theorems given so far for the critical case (p = 1) and the supercritical case (p>1) determine the growth rate of the total population size and state that the type distribution in a population which has grown large is asymptotically the stable type distribution Φ..
23#
發(fā)表于 2025-3-25 13:20:14 | 只看該作者
,Technologie des Kokillengie?ens,Associated with the typical individual of the process is
24#
發(fā)表于 2025-3-25 19:42:03 | 只看該作者
25#
發(fā)表于 2025-3-25 23:03:14 | 只看該作者
26#
發(fā)表于 2025-3-26 04:12:07 | 只看該作者
The Galton-Watson Process: Analytic MethodsLet P.(i,j) be the n-step transition function of a Bienaymé-Galton-Watson process, define the probability generating functions (p.g.f.′s) ., and set f.(s):=s, f(s):= f.(s), Isi ≤ 1. The branching property may then be written in the form ..
27#
發(fā)表于 2025-3-26 05:42:13 | 只看該作者
Continuous Time Markov Branching ProcessesThe . is specified by two parameters, the offspring distribution F with point probabilities {p.}, and the intensity . of the exponential lifetime distribution .e.dx. Various constructions are possible.
28#
發(fā)表于 2025-3-26 09:24:27 | 只看該作者
FoundationsLet (X,.) be a measurable space, X. the symmetrization of the direct product X. of n copies of X, X. = {θ} with some extra point θ, .and . the σ-algebra on . induced by ..
29#
發(fā)表于 2025-3-26 13:32:19 | 只看該作者
30#
發(fā)表于 2025-3-26 19:36:25 | 只看該作者
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