کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1152961 | 958311 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Uniqueness, recurrence and decay properties of collision branching processes with immigration
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آمار و احتمال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider a kind of Collision Branching Processes with Immigration (CBIP). Some important properties of the generating functions for the CBI q-matrix were first investigated in detail. Then for any given CBI q-matrix, the existence and uniqueness of CBIP is proved, and sufficient and easily checked conditions for the CBIP to be recurrent are given. Moreover, the exact value of the decay parameter λZ is obtained and expressed explicitly for the communicating class Z+ in the case that the immigration is independent of states. It is shown that this λZ can be directly obtained from the generating functions of the corresponding q-matrix. Finally, the invariant vectors and invariant measures are considered.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Statistics & Probability Letters - Volume 83, Issue 7, July 2013, Pages 1603-1612
Journal: Statistics & Probability Letters - Volume 83, Issue 7, July 2013, Pages 1603-1612
نویسندگان
Juan Wang, Junping Li,