Theoria motus corporum coelestium in sectionibus conicis solem ambientium¶
Gauss, C. F. (1809). Theoria motus corporum coelestium in sectionibus conicis solem ambientium.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Distributional Assumption
- These assumptions enable closed-form solutions, efficient computation, and interpretable test statistics; relaxing them complicates computation dramatically.
This sourceFounding systematic exposition of the method of least squares, giving a probabilistic justification in which assuming normally distributed observational errors makes least squares the maximum-likelihood / most-probable estimate — the origin of the normal-error distributional assumption underlying regression. (Priority dispute with Legendre, Nouvelles méthodes pour la détermination des orbites des comètes, Paris: Courcier, 1805, which published the least-squares method itself four years earlier.)
- These assumptions enable closed-form solutions, efficient computation, and interpretable test statistics; relaxing them complicates computation dramatically.
- Function (Mapping)
- In economics and statistics, demand and supply functions, production functions, and utility functions specify deterministic input-output relationships; regression equations
This sourceFounding systematic exposition of the method of least squares. Priority dispute with Legendre, Adrien-Marie. Nouvelles méthodes pour la détermination des orbites des comètes (Paris: Courcier, 1805), which published the method itself four years earlier.
- In economics and statistics, demand and supply functions, production functions, and utility functions specify deterministic input-output relationships; regression equations
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