## Table of contents for Theory of the combination of observations least subject to error : part one, part two, supplement = Theoria combinationis observationum erroribus minimus obnoxiae : pars prior, pars posterior, supplementum / by Carl Friedrich Gauss ; translated by G.W. Stewart.

Bibliographic record and links to related information available from the Library of Congress catalog

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

part one; part or mean value of the error; The mean square error as a measure of uncertainty; Mean error, weight and precision; Effect of removing the constant part; Interpercentile ranges and probable error; properties of the uniform, triangular, and normal distribution; Inequalities relating the mean error and interpercentile ranges; The fourth moments of the uniform, triangular, and normal distributions; The distribution of a function of several errors; The mean value of a function of several errors; Some special cases; Convergence of the estimate of the mean error; the mean error of the estimate itself; the mean error of the estimate for the mean value; Combining errors with different weights; Overdetermined systems of equations; the problem of obtaining the unknowns as combinations of observations; the principle of least squares; The mean error of a function of quantities with errors; The regression model; The best combination for estimating the first unknown; The weight of the estimate; estimates of the remaining unknowns and their weights; justification of the principle of least squares; The case of a single unknown; the arithmetic mean. Pars Posterior/part two; part two; Part I; Part II.

Library of Congress subject headings for this publication:

Least squares.

Error analysis (Mathematics)