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Books Books 1 - 5 of 5 on the most probable value of the unknown quantities will be that in which the sum of....  
" the most probable value of the unknown quantities will be that in which the sum of the squares of the differences between the actually observed and the computed values multiplied by numbers that measure the degree of precision is a minimum". "
Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic ... - Page 260
by Carl Friedrich Gauss - 1857 - 326 pages
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Statistical Foundations of Econometric Modelling

Aris Spanos - Business & Economics - 1986 - 695 pages
...value of the desired parameters will be that in which the sum of the squares of differences between the actually observed and computed values multiplied...that measure the degree of precision, is a minimum .... This clearly shows a direct relationship between the normality assumption and the least-squares...
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Fundamentals of Astrodynamics and Applications

D.A. Vallado - Science - 2001 - 958 pages
...value of the unknown quantities will be that in which the sum of the squares of the differences between the actually observed and computed values multiplied...that measure the degree of precision is a minimum." It's a true credit to Gauss's genius that his method enjoys such wide popularity and use. The ensuing...
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Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches

Dan Simon - Technology & Engineering - 2006 - 558 pages
...will be that in which the sum of the squares of the differences between the actually observed and the computed values multiplied by numbers that measure the degree of precision is a minimum. Karl Friedrich Gauss [Gau04] In this chapter, we will discuss least squares estimation, which is...
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Data Mining: A Knowledge Discovery Approach

Krzysztof J. Cios, Witold Pedrycz, Roman W. Swiniarski, Lukasz Andrzej Kurgan - Artificial intelligence - 2007 - 621 pages
...principle in the eighteenth century in the following way: "the sum of squares of the differences between the actually observed and computed values multiplied...that measure the degree of precision is a minimum." The least squares method has been widely used ever since. Let us assume that we have carried out experiments...
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