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The Mathematical Theory of Probabilities, Vol. 1 (Classic Reprint): And Its Application to Frequency Curves and Statistical Methods: And Its ... and Statistical Methods (Classic Reprint) - Tapa blanda

 
9781331127253: The Mathematical Theory of Probabilities, Vol. 1 (Classic Reprint): And Its Application to Frequency Curves and Statistical Methods: And Its ... and Statistical Methods (Classic Reprint)

Sinopsis

Excerpt from The Mathematical Theory of Probabilities

Any statistical theory, in order to be of use in practical work, must be arranged in such a manner that it is readily adaptable to numerical computations. Advanced mathematical computation has not been given its due reward and proper attention in our ordinary academic instruction. A high grade mathematical computer is indeed a rare bird, much more so in fact than a good mathematician. To arrange and plan the numerical work in connection with the theoretical formulae so that the detailed and painstaking work is reduced to a minimum, and at the same time afford the proper means for checking and counterchecking, is by no means an easy task and often requires as much ingenuity as the actual development of the theoretical formulae. While Gauss has always been acknowledged as one of the world's greatest com puters and in addition to his extensive work in pure mathematics also did much practical work in surveying, physics, and in financial and actuarial investigations, Laplace during his entire career remained a pure mathematician and apparently failed to grasp the paramount attributes required by a successful computer. His attempt to inject himself into public life, as for instance when he secured for himself an appointment as minister of the interior, must be regarded as a dismal failure as admitted in Napoleon's memorandum on his dismissal.

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Reseña del editor

Excerpt from The Mathematical Theory of Probabilities, Vol. 1: And Its Application to Frequency Curves and Statistical Methods

Any statistical theory, in order to be of use in practical work, must be arranged in such a manner that it is readily adaptable to numerical computations. Advanced mathematical computation has not been given its due reward and proper attention in our ordinary academic instruction. A high grade mathematical computer is indeed a rare bird, much more so in fact than a good mathematician. To arrange and plan the numerical work in connection with the theoretical formulae so that the detailed and painstaking work is reduced to a minimum, and at the same time afford the proper means for checking and counterchecking, is by no means an easy task and often requires as much ingenuity as the actual development of the theoretical formulae. While Gauss has always been acknowledged as one of the world's greatest com puters and in addition to his extensive work in pure mathematics also did much practical work in surveying, physics, and in financial and actuarial investigations, Laplace during his entire career remained a pure mathematician and apparently failed to grasp the paramount attributes required by a successful computer. His attempt to inject himself into public life, as for instance when he secured for himself an appointment as minister of the interior, must be regarded as a dismal failure as admitted in Napoleon's memorandum on his dismissal.

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.

Reseña del editor

Excerpt from The Mathematical Theory of Probabilities, Vol. 1: And Its Application to Frequency Curves and Statistical Methods

Mr. Fisher has requested that an introduction be written to this, the second edition of his work on probabilities, which shall indicate some of the practical applications of the mathematical theory with which his treatise deals.

The writer has only a limited knowledge of mathematical technique - yet it has so happened that in twenty-five years of active work as engineer, statistician and executive he has had frequent occasion to call upon the skill of trained mathematicians for the solution of practical problems involving frequency curves and probabilities. Among such mathematicians none has been more helpful, or quicker to perceive the possibility of making valuable applications of higher mathematics to business problems, than Ir. Fisher himself. For this reason it is a duty as well as a privilege to outline, at his request, certain actual practical experiences with mathematical applications and to indicate such possible applications for the future.

The writer's initial experience with frequency curves and probabilities was in the j-ears 1902 and 1903, when it became evident, in analyzing various problems in telephone traffic, that certain peak loads, which were superimposed upon the normal seasonal, weekly, and daily fluctuations, could be accounted for only by the laws of chance. Recourse was, therefore, had to the formulæ then available for approximate summations of the terms of the binomial expansion, and from these a series of curves was drawn which indicated for an given normal hourly traffic (as indicated by studies of seasonal, weekly, and daily variations) the probability that any given short period load would be equalled or exceeded. Practical experience with these curves soon showed that, in spite of minor errors, they were close enough to the real facts to make them of primary importance in traffic studies of all kinds, and particularly in the development of mechanical switching devices. Their use for such purposes has now become a commonplace in telephone engineering.

As a by-product of the preceding application there have been other interesting uses of the same probability curves.

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.

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Arne Fisher
Publicado por Forgotten Books, 2018
ISBN 10: 1331127254 ISBN 13: 9781331127253
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Arne Fisher
Publicado por Forgotten Books, 2018
ISBN 10: 1331127254 ISBN 13: 9781331127253
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781331127253

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Arne Fisher
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ISBN 10: 1331127254 ISBN 13: 9781331127253
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Paperback. Condición: New. Print on Demand. This book, first published in 1915, explores the historical and philosophical development of mathematical probability theory within the field of applied mathematics. The author analyzes games of chance, statistical data, and the work of notable mathematicians to demonstrate the evolution of this mathematical discipline from its humble origins in games of chance to its use in vital statistics and other practical applications. The book is a comprehensive guide to mathematical probability theory, covering the subject from its basic concepts to its practical applications. It provides a deep understanding of the subject's fundamental principles, its history, and its critical role in modern statistical data analysis. 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. Nº de ref. del artículo: 9781331127253_0

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Arne Fisher
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ISBN 10: 1331127254 ISBN 13: 9781331127253
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Paperback. Condición: Brand New. 334 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Nº de ref. del artículo: zk1331127254

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