一阶微分模型参数估计的一类新算法

Some new algorithms for estimating the parameters of one order-differential model

一阶微分模型(如Logistic模型、Gompertz模型与灰色动态模型等)是进行长期预测的常用而有效的数学模型,其参数估计问题历来为人们所关注。本文给出了对一阶微分模型作参数估计的一类新算法,并进行了数值实验和对比试验研究,以展示其有效性。所得结果是令人满意的。

Much attention has been paid to the parameter estimation of one orderdifferential models as a useful tool for technological forecasting or longterm forecasts.In this paper,some new algorithms for estimating the parameters are presented.The comparison study and numerical tests are also made to show the merits of the proposed method.The results are satisfactory.