Joffe,A. and Spitizer,F.(1967): On multitype branching processes with ae 1, Journal of Mathematical Analysis and Applications, 19, 409-430.  Home/Search   Document Not in Database   Summary   Related Articles

....v. 2 Once again, conditioned on nonextinction, the population proportions of various types stabilize to u in probability and each of them grow at the algebraic rate of n. The next result describes the behavior of the process in the subcritical case and again is due to Joffe and Spitizer (see [46]) Theorem 14. For any initial Z 0 6= 0 lim n 1 P (Z n = jjZ n 6= 0) j (3.15) exists for all j = j 1 ; j 2 ; j k ) j i 1 and P j j = 1 and f j g is independent of Z 0 6= 0. 2. 4 Continuous time (age dependent) branching processes The models discussed above treat ....

Joffe,A. and Spitizer,F.(1967): On multitype branching processes with ae 1, Journal of Mathematical Analysis and Applications, 19, 409-430.

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