کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156812 | 958874 | 2012 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Subcritical branching processes in a random environment without the Cramer condition
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
A subcritical branching process in random environment (BPRE) is considered whose associated random walk does not satisfy the Cramer condition. The asymptotics for the survival probability of the process is investigated, and a Yaglom type conditional limit theorem is proved for the number of particles up to moment nn given survival to this moment. Contrary to other types of subcritical BPRE, the limiting distribution is not discrete. We also show that the process survives for a long time owing to a single big jump of the associate random walk accompanied by a population explosion at the beginning of the process.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 122, Issue 7, July 2012, Pages 2594–2609
Journal: Stochastic Processes and their Applications - Volume 122, Issue 7, July 2012, Pages 2594–2609
نویسندگان
Vladimir Vatutin, Xinghua Zheng,