|Table of Contents|

Properties of Probability for Linear Controlled Branching Process in Random Environment

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2006年03期
Page:
385-388
Research Field:
Publishing date:
2006-06-30

Info

Title:
Properties of Probability for Linear Controlled Branching Process in Random Environment
Author(s):
HOU Chuan-zhiLU Zhong-sheng
School of Sciences,NUST,Nanjing 210094,China
Keywords:
random environm ent linear controlled branch ing process orig inal genera ting function martingale ext inction probab ilities pro liferation rate
PACS:
O 211. 6
DOI:
-
Abstract:
The de fin ition o f linear contro lled branching process in a random env ironment is introduced, and the ex tinct ion probab ilities of the model are stud ied. The orig inal generating function is used to show the n th ex tinction probability, and the relat ions o f all k inds of generat ing functions are stud ied. The exact formulas ofmathemat ical expectation of themode l are produced. Fina lly, the too l ofmartingale is used to study the proliferation rate o f linear contro lled branching process in a random env ironm ent.

References:

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Last Update: 2006-06-30