 | James Craig Watson - 1868 - 678 pagina’s
...it appears that when the observations are equally precise, the most probable values of the unknown quantities are those which render the sum of the squares of the residuals a minimum, and that, in general, if each error is multiplied by its measure of precision,... | |
 | James Craig Watson - 1868 - 662 pagina’s
...it appears that when the observations are . equally precise, the most probable values of the unknown quantities are those which render the sum of the squares of the residuals a minimum, and that, in general, if each error is multiplied by its measure of precision,... | |
 | Mansfield Merriman - 1884 - 216 pagina’s
...— In measurements of equal precision the most probable values of observed quantities are those that render the sum of the squares of the residual errors a minimum. To prove this, consider the general case of indirect observations, and let n equally good measurements... | |
 | James Howard Gore - 1886 - 302 pagina’s
...(A), + ^ + ^ - ^V, = «, By the principles already stated, tl1e most probable values for these various quantities are those which render the sum of the squares of the errors, «,' -f- «,' . . . +«„', a minimum. Placing all terms but those depending upon x, equal... | |
 | Mansfield Merriman - 1903 - 274 pagina’s
...a more general statement of the principle of least squares is: In observations of unequal precision the most probable values of the observed quantities are those which render the sum of the weighted squares of the residual errors a minimum. Here it is seen that the term " weighted square... | |
 | William Henry Chandler - 1898 - 600 pagina’s
...principle upon which it is founded is that the most probable values of observed quantities are those that render the sum of the squares of the residual errors a minimum. Residual errors are the remainders on subtracting from each observation the arithmetical mean of all... | |
 | Mansfield Merriman - 1899 - 276 pagina’s
...a more general statement of the principle of least squares is: In observations of unequal precision the most probable values of the observed quantities are those which render the sum of the weighted squares of the residual errors a minimum. Here it is seen that the term " weighted square... | |
 | James Craig Watson - 1900 - 670 pagina’s
...it appears that when the observations are equally nrecise, the most probable values of the unknown quantities are those which render the sum of the squares of the residuals a minimum, and that, in general, if each error is multiplied by its measure of precision,... | |
 | 1901 - 678 pagina’s
...measurements of equal precision the most probable values of the observed quantities are those that render the sum of the squares of the residual errors a minimum. By residual error is meant the difference between the true value of the observed quantity and one of... | |
 | Joseph William Mellor - 1902 - 620 pagina’s
...this in (2), r = + 0-6745 J^Z measurements have an equal degree of confidence, the most probable value of the observed quantities are those which render the sum of the squares of the deviations of each observation from the mean, a minimum. Let 2(v2) denote, the sum of the squares of... | |
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In observations of equal precision the most probable values of the observed quantities are those that render the sum of the squares of the residual errors a minimum... 
