کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10527342 958830 2005 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Functional limit theorems for strongly subcritical branching processes in random environment
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Functional limit theorems for strongly subcritical branching processes in random environment
چکیده انگلیسی
For a strongly subcritical branching process (Zn)n⩾0 in random environment the non-extinction probability at generation n decays at the same exponential rate as the expected generation size and given non-extinction at n the conditional distribution of Zn has a weak limit. Here we prove conditional functional limit theorems for the generation size process (Zk)0⩽k⩽n as well as for the random environment. We show that given the population survives up to generation n the environmental sequence still evolves in an i.i.d. fashion and that the conditioned generation size process converges in distribution to a positive recurrent Markov chain.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 115, Issue 10, October 2005, Pages 1658-1676
نویسندگان
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