【摘要】 利用递推和数学归纳法,研究了随机环境两性分枝过程{Wn}n的p阶矩,得到了supn≥0EWnp<∞的3个充分条件。特别地,当环境序列ξ为独立同分布时,第3个充分条件Elog+Eξ[f01/μ1(ξ)]p0<∞将成为supn≥0EWnp<∞的充要条件。更多还原

【Abstract】 By using recursion and mathematical induction, the p-order of {Wn}n in the bisexual branching process of random environment is studied, and the three sufficient conditions of supn ≥0EWnp<∞ are obtained. Especially,when the environment sequence ξ is independent and identically distributed, the last sufficient condition Elog+Eξ[f01/μ1(ξ0)]p<∞ will become the necessary and sufficient condition for supn≥0EWnp<∞.更多还原