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" 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 ... - Pàgina 260
per Carl Friedrich Gauss - 1857 - 326 pàgines
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Statistical Foundations of Econometric Modelling

Aris Spanos - 1986 - 722 pàgines
...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 - 2001 - 1002 pàgines
...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 - 2006 - 552 pàgines
...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 - 2007 - 606 pàgines
...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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