A limit theorem of branching processes and continuous state branching processes
نویسندگان
چکیده
منابع مشابه
Limit Theorems for Continuous State Branching Processes with Immigration
when nx and n2 are measures on the Borel sets of (0, oo) with the property that r u r u -n^du) + n2(du) <oo; a ^ 0, y ̂ 0, c ^ 0,d ^ 0. J0+ 1 + w J0 + 1 + u Furthermore any set of parameters (a, /?, y, c, d, nl5n2) define a unique ^MS 1970 swfy'ert classifications. Primary 60J80, 60F05; Secondary 60K30.
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Let us begin by recalling the definition of two familiar processes, a Brownian motion and a Poisson process. A real-valued process B = {B t : t ≥ 0} defined on a probability space (Ω, F , P) is said to be a Brownian motion if the following hold: (i) The paths of B are P-almost surely continuous. (ii) P(B 0 = 0) = 1. (iii) For 0 ≤ s ≤ t, B t − B s is equal in distribution to B t−s. (iv) For 0 ≤ ...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1968
ISSN: 2156-2261
DOI: 10.1215/kjm/1250524180