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某类遗传环境下的两性分支过程:有关伴Y基因的灭绝概率问题

Bisexual Branching Processes in a Genetic Contex:The Extinction Problem for Y-Linked Genes
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摘要 本文在文献[2]的基础上研究了另一类遗传环境下的两性分支过程(其中配对单元类型多于一种且有一种类型的配对单元数仅由雌性数目决定)并得到了有关它们灭绝概率的一些结果。 In this paper, we Discuss tile bisexual branching processes in a genetic context with two mating function that the one is called perfect fidelity mating function and the other has the form L ( x, y) = x which means the number of mating units is only ditermined by the number of females. Under these assumptions, the necessary and sufficient condition of the process extinction with probability 1 was obtained.
出处 《数学理论与应用》 2008年第3期30-34,共5页 Mathematical Theory and Applications
关键词 两性分支过程 灭绝概率 配对函数 伴Y基因 Bisexual branching processes Probability of extinction Mating funcction
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参考文献2

  • 1王勇.带某类配对函数的两性分支过程[J].太原理工大学学报,2003,34(6):753-755. 被引量:1
  • 2Dr. D. J. Daley. Extinction conditions for certain bisexual Galton-Watson branching processes[J] 1968,Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete(4):315~322

二级参考文献6

  • 1Harris T E. The Theory of Branching Proeeses[M]. Springer-verlag, 1963.
  • 2Athreya K B, Ney P E. Branching processes[M]. Springer-verlag, 1972.
  • 3Daley D. Extinction probabilities for certain bisexual galton-watson branching processes[J]. Z wahrsch verw gebiete, 1968(9) :315-322.
  • 4Gerold A.Uwe R. The bisexual gabon-watson process with promiscuous mating: Extinction probabilities in the supercritical case[J]. A Appl Probab,1996,11 (2) :63-72.
  • 5Smith W L, Wilkinson W E. On branching processes in random environment[J]. Ann Math Statist, 1969,40:814-827.
  • 6卢准炜.随机环境中的分枝过程[J].应用概率统计,1998,14(3):313-325. 被引量:8

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