浅谈参数估计及其应用

A Brief Discussion on Parameter Estimation and its Applications

参数估计是数理统计的一个重要分支。本文旨在理论上明晰参数估计各个具体估计方法之间的关系以及它们在实际应用中的价值。主要聚焦于矩估计、最大似然估计和区间估计的基本理论,系统地探讨它们的优缺点。通过引入实际例子进一步揭示参数估计的本质规律,为方法选择和应用提供更为深刻的认识。

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.