幂函数和指数函数回归模型参数的无偏估计及应用

本文给出了一类非线性函数、幂函数和指数函数回归模型参数的一种估计方法，用此方法计算幂函数和指数函数参数所得的残差平方和比用化为线性模型计算所得的残差平方和小得多。与精确的高斯－牛顿迭代计算结果相近，它比一般非线性回归迭代计算简单。

Unbiased Estimation and Application of Parameters of Power and Exponential Functions

An estimate method of one kind of nonlinear function, power function and the exponential function is given in this article. With such method, the residual sum of squares which is obtained by computing the parameters of exponential function and power function is much smaller than that of linear method. It is closer to the result obtained by using Gauss Newton inference method, and much simpler than usual nonlinear regression inference method.