The Generalized Law Of Error - Francis Ysidro Edgeworth - Bog

""The Generalized Law of Error: Or Law of Great Numbers"" is a book written by Francis Ysidro Edgeworth in 1906. The book is a seminal work in the field of probability theory and statistics. It is an exploration of the law of error, which is a probability distribution that describes the likelihood of errors occurring in a measurement or observation. Edgeworth's work builds on the earlier work of mathematicians such as Laplace and Gauss, but he takes a more generalized approach. He develops a mathematical framework that allows for the analysis of a wide range of probability distributions, rather than just the normal distribution that was commonly used at the time. The book is divided into two parts. The first part is a theoretical exploration of the law of error and its various properties. Edgeworth derives several important results, including the central limit theorem, which states that the sum of a large number of independent random variables tends towards a normal distribution. The second part of the book is more applied, focusing on the use of the law of error in practical situations. Edgeworth discusses various statistical methods, such as the method of moments and maximum likelihood estimation, and shows how they can be used to estimate parameters of probability distributions. Overall, ""The Generalized Law of Error"" is a landmark work in the development of probability theory and statistics. It is still widely cited and studied today, and its insights have been applied in a wide range of fields, from finance to physics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.