Gauss on least-squares and maximum-likelihood estimation

IF 0.7 2区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Archive for History of Exact Sciences Pub Date : 2022-04-02 DOI:10.2139/ssrn.3990758

J. Magnus

引用次数: 2

Abstract

Gauss’ 1809 discussion of least squares, which can be viewed as the beginning of mathematical statistics, is reviewed. The general consensus seems to be that Gauss’ arguments are at fault, but we show that his reasoning is in fact correct, given his self-imposed restrictions, and persuasive without these restrictions.

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最小二乘上的高斯和最大似然估计

回顾了高斯1809年关于最小二乘的讨论，这可以看作是数理统计的开端。普遍的共识似乎是高斯的论点是错误的，但我们表明，他的推理实际上是正确的，考虑到他自己施加的限制，没有这些限制，他的推理是有说服力的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archive for History of Exact Sciences 管理科学-科学史与科学哲学

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.