应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2011年
3期
289-296
,共8页
赵丽华%雷思林%卢准炜%刘桂芬
趙麗華%雷思林%盧準煒%劉桂芬
조려화%뢰사림%로준위%류계분
随机环境中两性Galton-Watson分支过程%灭绝概率
隨機環境中兩性Galton-Watson分支過程%滅絕概率
수궤배경중량성Galton-Watson분지과정%멸절개솔
Bisexual Galton-Watson branching process in random environments%extinction probability
本文研究了独立同分布随机环境中的两性Galton-Watson分支过程,在上临界情形下,当k充分大时,qk≤ck<'-α>.
本文研究瞭獨立同分佈隨機環境中的兩性Galton-Watson分支過程,在上臨界情形下,噹k充分大時,qk≤ck<'-α>.
본문연구료독립동분포수궤배경중적량성Galton-Watson분지과정,재상림계정형하,당k충분대시,qk≤ck<'-α>.
In bisexual Galton-Watson branching process with independent and identically distributed random environments, it is shown that under certain conditions there exists 0 < α < +∞ and 0 < c < +∞ such that the extinction probability starting with k individuals is bounded above by ck<'-α> for sufficiently large k.