Paper Infomation
A Brief Discussion on Parameter Estimation and its Applications
Full Text(PDF, 322KB)
Author: Yintao Lian, Li Ma, Wangtian Wang, Yuting Wang
Abstract: Parameter estimation is a crucial branch of mathematical statistics. This paper aims to theoretically clarify the relationships among various specific estimation methods of parameter estimation and their practical significance. The focus is primarily on the fundamental theories of moment estimation, maximum likelihood estimation, and interval estimation, systematically examining their advantages and limitations. By introducing practical examples, the paper further elucidates the underlying principles of parameter estimation, offering a more profound understanding for the selection and application of these methods.
Keywords: Moment Estimation, Maximum Likelihood Estimation, Interval Estimation
References:
[1] 林静,唐国强,覃良文.基于小波分析与贝叶斯估计的组合统计建模[J].桂林理工大学学报,2017,37(01):217-222.
[2] 李荣玲.概率论与数理统计[M].云南大学出版社:202008.202.
[3] 潘永博.偏正态误差分布下一元线性回归模型的参数估计及比较[D].郑州大学,2017.
[4] 刘鲁华.导弹试验多源信息融合及精度鉴定方法研究[D].中国人民解放军国防科学技术大学,2002.
[5] 李明泉.对最大似然估计法教学的探讨[J].牡丹江大学学报,2010,19(07):116-118.
[6] 王卫国.数据融合方法及其应用技术的研究[D].河北理工大学,2005.
[7] 吴黎.基于MODIS数据温度植被干旱指数干旱监测指标的等级划分[J].水土保持研究,2017,24(03):130-135+3.
[8] 霍建新.高斯的“大手笔”[J].中国统计,2010,(05):57-58.