湖南文理学院学报(自然科学版)
湖南文理學院學報(自然科學版)
호남문이학원학보(자연과학판)
JOURNAL OF HUNAN UNIVERSITY OF ARTS AND SCIENCE(SCIENCE AND TECHNOLOGY)
2015年
2期
26-29
,共4页
非线性度量%可分离%局部曲率%LS估计
非線性度量%可分離%跼部麯率%LS估計
비선성도량%가분리%국부곡솔%LS고계
measure of non-linearity%separated%local curvature%the least squares estimator
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。
研究瞭一類推廣的非線性迴歸模型的最小二乘估計,證明瞭其收斂性,併推廣到不滿足高斯–馬爾可伕條件的情形。研討瞭幾類特殊的部分非線性迴歸模型的參數估計及非線性程度度量,探討瞭參數最小二乘估計求法中迭代初值的選取,提齣瞭改進方嚮。
연구료일유추엄적비선성회귀모형적최소이승고계,증명료기수렴성,병추엄도불만족고사–마이가부조건적정형。연토료궤류특수적부분비선성회귀모형적삼수고계급비선성정도도량,탐토료삼수최소이승고계구법중질대초치적선취,제출료개진방향。
First, the least squares estimator with extend case is studied, and its convergence is proven. Second, the mode to non Gauss-Markov condition is extended. The estimate property of a more generalized separated nonlinear model is discussed. At last, the method of iterative initial value selection are studied, and a new trend for the method to measure the model’s non-linearity is given.