Mathematical Theory and Applications ›› 2016, Vol. 36 ›› Issue (4): 44-49.

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A Logarithmic Criterion for L1 -convergence of a Bisexual Branching Process in a Random Environment

Zhou Yuanzheng1, Wang Yuejiao2, Qiu Yumei 1   

  1. 1.School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410014,China; 2.School of Mathematics and Statistics,Central South University,Changsha 410083,China

  • Online:2016-12-30 Published:2020-09-25

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Abstract: In this paper,the L1-convergence of a bisexual branching process in a random environment normalized by the upper bound of the conditional mean growth rate is investigated.A necessary and sufficient condition for theL1-convergence of the logarithmic criterion is given.

Key words:

Random environment, Bisexual Branching Process, L1-convergence

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