几类非线性回归模型的LS估计与非线性度量  

The LSE and measure of non-linearity of some special nonlinear model

作　　者：肖兵[1] 

机构地区：[1]湖南文理学院数学与计算科学学院,湖南常德415000

出　　处：《湖南文理学院学报（自然科学版）》2015年第2期26-29,共4页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南省自然科学基金资助项目(12JJ6004);湖南省科技厅项目(2011ZK3160)

摘　　要：研究了一类推广的非线性回归模型的最小二乘估计,证明了其收敛性,并推广到不满足高斯–马尔可夫条件的情形。研讨了几类特殊的部分非线性回归模型的参数估计及非线性程度度量,探讨了参数最小二乘估计求法中迭代初值的选取,提出了改进方向。First, the least squares estimator with extend case is studied, and its convergence is proven. Second, th mode to non Gauss-Markov condition is extended. The estimate property of a more generalized separated nonlineR model is discussed. At last, the method of iterative initial value selection are studied, and a new trend for the metho to measure the model＇s non-linearity is given.

关 键 词：非线性度量 可分离 局部曲率 LS估计 

分 类 号：O212.1[理学—概率论与数理统计]