A limit theorem for the continuous state branching process
نویسندگان
چکیده
منابع مشابه
Central Limit Theorem in Multitype Branching Random Walk
A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.
متن کاملHeight process for super-critical continuous state branching process
We define the height process for super-critical continuous state branching processes with quadratic branching mechanism. It appears as a projective limit of Brownian motions with positive drift reflected at 0 and a > 0 as a goes to infinity. Then we extend the pruning procedure of branching processes to the super-critical case. This give a complete duality picture between pruning and size propo...
متن کاملLimit 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.
متن کاملThe Local Limit Theorem: A Historical Perspective
The local limit theorem describes how the density of a sum of random variables follows the normal curve. However the local limit theorem is often seen as a curiosity of no particular importance when compared with the central limit theorem. Nevertheless the local limit theorem came first and is in fact associated with the foundation of probability theory by Blaise Pascal and Pierre de Fer...
متن کاملOn prolific individuals in a supercritical continuous state branching process
The purpose of this note is to point at an analog for continuous state branching process of the description of prolific individuals in a super-critical Galton-Watson process.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1983
ISSN: 0304-4149
DOI: 10.1016/0304-4149(83)90070-4