Excerpt from On the Use of Equivalent Numbers in the Method of Least Squares
It is scarcely necessary to remark, that the subject _is plainly one which is in its nature somewhat vague and insusceptible of rigorous treatment, though it is at the same time interesting from its practical bearings. If no very precise or definite rules for regulating the degree of numerical exactness suited to the discussion of any given problem can be arrived at, it may still be of service to point out the principles which ought to guide the computer in the choice of such limits as shall perfectly meet all reasonable requirements of accuracy, without imposing upon him the unprofitable labor of multiplying the extent and difficulties of calculation, to no useful purpose, and without the remotest prospect of sensibly improving the real value of the results.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Anbieter: Forgotten Books, London, Vereinigtes Königreich
Paperback. Zustand: New. Print on Demand. This book is an innovative study that challenges the conventional wisdom that has dominated the application of the method of least squares for fitting an empirical function to a series of observed facts. In mathematics, the method of least squares is a standard technique for solving problems where there are more unknowns than equations, and while it is recognized that the pursuit of accuracy can be carried to unreasonable lengths, the current practice is to adhere strictly to the rigorous precepts of least squares to an extent that is theoretically incorrect and unnecessarily laborious. The author demonstrates that a more nuanced approach that allows for scalar modifications to the computational factors used in the method, can achieve nearly equivalent results with exceptional numerical facilitation. While the core of the book is mathematical in nature, the author offers a clear account of the principles governing the application of the method of least squares in practice, and makes the case that scientists should not be bound by an overly strict interpretation of its tenets when seeking to extract meaningful insights from observations. This pragmatic analysis will appeal to researchers, scientists, and students employing statistical models. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333402822_0
Anzahl: Mehr als 20 verfügbar
Anbieter: PBShop.store US, Wood Dale, IL, USA
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333402822
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333402822
Anzahl: 15 verfügbar