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-  2018 

具有随机扰动的Lotka-Volterra竞争模型的参数估计
PARAMETER ESTIMATION FOR LOTKA-VOLTERRA COMPETITION MODEL WITH RANDOM PERTURBATIONS

Keywords: 随机Lotka-Volterra竞争模型 回归模型 最小二乘法 点估计 置信区间
Lotka-Volterra competition model regression model least squares method point estimators interval estimation

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Abstract:

本文研究了两种群随机Lotka-Volterra竞争模型的参数估计的问题.利用最小二乘法,获得了点估计及(1-α)置信区间估计,同时得到了影响置信区间长度的因素.最后给出数值模拟,结果表明该方法的可行性与有效性.
In this paper, the problem of parameter estimation for two species stochastic Lotka-Volterra competition model is studied. By using the method of least squares, we obtain the point estimate and the (1 -α) confidence interval, and we get the factors which influence the confidence interval length. Finally, the numerical simulation results show that the method is feasible and effective

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