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矩封闭方法的一种扩展。

An extension of the moment closure method.

作者信息

Nåsell Ingemar

机构信息

Department of Mathematics, The Royal Institute of Technology, S-100 44 Stockholm, Sweden.

出版信息

Theor Popul Biol. 2003 Sep;64(2):233-9. doi: 10.1016/s0040-5809(03)00074-1.

Abstract

The moment closure method was recently shown in Nåsell (Theor. Popul. Biol. 63 (2) (2003a) 159) to give asymptotic approximations of the first few cumulants for the stochastic logistic model. A slight extension of the method is introduced. It is shown to be robust with regard to the specific distributional assumption that is used to achieve moment closure. The phenomenon of spurious solutions is shown to be related to the domain of attraction of the non-spurious critical point.

摘要

矩封闭方法最近在纳塞尔(《理论种群生物学》63(2)(2003a)159)中被证明可给出随机逻辑斯谛模型前几个累积量的渐近近似。引入了该方法的一个轻微扩展。结果表明,对于用于实现矩封闭的特定分布假设,该扩展方法具有鲁棒性。虚假解现象被证明与非虚假临界点的吸引域有关。

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