一种 Logistic 模型参数估计的新方法及应用

摘要

介绍了 logistic 曲线参数估计的一种新方法,它是利用三次样条插值函数求导代替 logistic曲线在这一点的导数值,进而利用最小二乘法得出参数的估计值,通过实例分析表明本文提出的方法比一般的三点法估计的参数值 k 再用线性化方法估计的参数值 b ,c ,拟合精度更高。%This paper presened a new method of logistic growth curve for parameter estimation,which uses the cubic spline interpolation functions instead of growth curve in the derivative value,and then uses the least squares estimation method to derive the parameters.And the instance analysis and verification show that.the proposed approach can get the higher fitting precision.than the average of three point method to estimate the c and the linear regression estimate the parameter values of b and c .