Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2021-11-26 Number: 21-105/III Author-Name: Jan Magnus Author-Workplace-Name: Vrije Universiteit Amsterdam Title: Gauss on Least-Squares and Maximum-Likelihood Estimation 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. Classification-JEL: B16, C10 Keywords: Gauss, least squares, maximum likelihood, history File-URL: https://papers.tinbergen.nl/21105.pdf File-Format: application/pdf File-Size: 142.664 bytes Handle: RePEc:tin:wpaper:20210105