Bernoulli 1713

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A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935

Author : Anders Hald
Publisher : Springer Science & Business Media
ISBN 13 : 0387464093
Total Pages : 221 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 by : Anders Hald

Download or read book A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935 written by Anders Hald and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation, sampling distributions; and the Fisherian Revolution. Lively biographical sketches of many of the main characters are featured throughout, including Laplace, Gauss, Edgeworth, Fisher, and Karl Pearson. Also examined are the roles played by DeMoivre, James Bernoulli, and Lagrange.

Bernoulli 1713 Bayes 1763 Laplace 1813

Author : Jerzy Neyman
Publisher : Springer-Verlag
ISBN 13 : 3642497500
Total Pages : 274 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Bernoulli 1713 Bayes 1763 Laplace 1813 by : Jerzy Neyman

Download or read book Bernoulli 1713 Bayes 1763 Laplace 1813 written by Jerzy Neyman and published by Springer-Verlag. This book was released on 2013-11-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume represents the Proceedings of an International Research Seminar organized in 1963 by the Statistical Laboratory, Uni versity of California, Berkeley, on the occasion of a remarkable triple anniversary: the 250th anniversary of jACOB BERNOULLI's "Ars Conjectandi", the 200th anniversary of THOMAS BAYES' "Essay towards solving a problem in doctrine of chance", and the!50th anniversary of the PIERRE-SIMON DE LAPLACE's "Essai philosophique sur les probabilites". Financial assistance of the National Science Foundation, without which the Seminar could not have been held, is gratefully acknowledged. The publication of Ars Conjectandi, in 1713, was a milestone in the history of probability theory. Here, for the first time, appeared a careful description of the now well-known combinatorial methods which give solutions of many problems on simple games of chance. Also, Ars Conjectandi contains the Bernoulli numbers, theorems relating to the duration of games, and to the ruin of gamblers and, above all, the state ment and proof of the famous Bernoulli weak law of large numbers. Even though the original Latin edition of Ars Conjectandi was followed by several in modern languages, currently the book is not easily accessible. Apparently the last re-publication, in German, occurred in 1899, in two issues, No. 107 and No. 108, of the series "Ostwald's Klassi ker der exakten Wissenschaften", Wilhelm Engelman, Leipzig. The two books are difficult to locate

The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis

Author : Jacob Bernoulli
Publisher : JHU Press
ISBN 13 : 9780801882357
Total Pages : 468 pages
Book Rating : 4.8/5 (823 download)

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Book Synopsis The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis by : Jacob Bernoulli

Download or read book The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis written by Jacob Bernoulli and published by JHU Press. This book was released on 2006 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."

Bernoulli 1713 Bayes 1763 Laplace 1813

Author : Lucien M. Le Cam
Publisher : Springer Science & Business Media
ISBN 13 : 3642998844
Total Pages : 274 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Bernoulli 1713 Bayes 1763 Laplace 1813 by : Lucien M. Le Cam

Download or read book Bernoulli 1713 Bayes 1763 Laplace 1813 written by Lucien M. Le Cam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1963 Anniversary Volume

Pascal's Arithmetical Triangle

Author : A.W.F. Edwards
Publisher : Courier Dover Publications
ISBN 13 : 048684076X
Total Pages : 227 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Pascal's Arithmetical Triangle by : A.W.F. Edwards

Download or read book Pascal's Arithmetical Triangle written by A.W.F. Edwards and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey explores the history of the arithmetical triangle, from its roots in Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra to its influence on Newton and Leibniz as well as modern-day mathematicians.

Bernoulli 1713, Bayes 1763, Laplace 1813

Author : Jerzy Neyman
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (47 download)

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Book Synopsis Bernoulli 1713, Bayes 1763, Laplace 1813 by : Jerzy Neyman

Download or read book Bernoulli 1713, Bayes 1763, Laplace 1813 written by Jerzy Neyman and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Probability and Statistics and Their Applications before 1750

Author : Anders Hald
Publisher : John Wiley & Sons
ISBN 13 : 047172517X
Total Pages : 611 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis A History of Probability and Statistics and Their Applications before 1750 by : Anders Hald

Download or read book A History of Probability and Statistics and Their Applications before 1750 written by Anders Hald and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists. From the Reviews of History of Probability and Statistics and Their Applications before 1750 "This is a marvelous book . . . Anyone with the slightest interest in the history of statistics, or in understanding how modern ideas have developed, will find this an invaluable resource." –Short Book Reviews of ISI

Statistical Visions in Time

Author : Judy L. Klein
Publisher : Cambridge University Press
ISBN 13 : 9780521420464
Total Pages : 376 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Statistical Visions in Time by : Judy L. Klein

Download or read book Statistical Visions in Time written by Judy L. Klein and published by Cambridge University Press. This book was released on 1997-10-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This work documents the history of techniques that statisticians use to manipulate economic, meteorological, biological, and physical data taken from observations recorded over time. The decomposition tools include index numbers, moving averages, relative time frameworks, and the use of differences (i.e., subtracting one observation from the previous value in the series). This history is accessible to students with a basic knowledge of statistics, as well as financial analysts, statisticians, and historians of economic thought and science."--BOOK JACKET.

Probabilistic Thinking

Author : Egan J. Chernoff
Publisher : Springer Science & Business Media
ISBN 13 : 940077155X
Total Pages : 746 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Probabilistic Thinking by : Egan J. Chernoff

Download or read book Probabilistic Thinking written by Egan J. Chernoff and published by Springer Science & Business Media. This book was released on 2013-12-05 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists. The work of 58 contributing authors, investigating probabilistic thinking across the globe, is encapsulated in 6 prefaces, 29 chapters and 6 commentaries. Ultimately, the four main perspectives presented in this volume (Mathematics and Philosophy, Psychology, Stochastics and Mathematics Education) are designed to represent probabilistic thinking in a greater context.

Classic Problems of Probability

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
ISBN 13 : 1118063252
Total Pages : 341 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Classic Problems of Probability by : Prakash Gorroochurn

Download or read book Classic Problems of Probability written by Prakash Gorroochurn and published by John Wiley & Sons. This book was released on 2016-05-02 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 2012 PROSE Award for Mathematics from The American Publishers Awards for Professional and Scholarly Excellence. "A great book, one that I will certainly add to my personal library." —Paul J. Nahin, Professor Emeritus of Electrical Engineering, University of New Hampshire Classic Problems of Probability presents a lively account of the most intriguing aspects of statistics. The book features a large collection of more than thirty classic probability problems which have been carefully selected for their interesting history, the way they have shaped the field, and their counterintuitive nature. From Cardano's 1564 Games of Chance to Jacob Bernoulli's 1713 Golden Theorem to Parrondo's 1996 Perplexing Paradox, the book clearly outlines the puzzles and problems of probability, interweaving the discussion with rich historical detail and the story of how the mathematicians involved arrived at their solutions. Each problem is given an in-depth treatment, including detailed and rigorous mathematical proofs as needed. Some of the fascinating topics discussed by the author include: Buffon's Needle problem and its ingenious treatment by Joseph Barbier, culminating into a discussion of invariance Various paradoxes raised by Joseph Bertrand Classic problems in decision theory, including Pascal's Wager, Kraitchik's Neckties, and Newcomb's problem The Bayesian paradigm and various philosophies of probability Coverage of both elementary and more complex problems, including the Chevalier de Méré problems, Fisher and the lady testing tea, the birthday problem and its various extensions, and the Borel-Kolmogorov paradox Classic Problems of Probability is an eye-opening, one-of-a-kind reference for researchers and professionals interested in the history of probability and the varied problem-solving strategies employed throughout the ages. The book also serves as an insightful supplement for courses on mathematical probability and introductory probability and statistics at the undergraduate level.

The Myth of Statistical Inference

Author : Michael C. Acree
Publisher : Springer Nature
ISBN 13 : 3030732576
Total Pages : 457 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis The Myth of Statistical Inference by : Michael C. Acree

Download or read book The Myth of Statistical Inference written by Michael C. Acree and published by Springer Nature. This book was released on 2021-07-05 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book proposes and explores the idea that the forced union of the aleatory and epistemic aspects of probability is a sterile hybrid, inspired and nourished for 300 years by a false hope of formalizing inductive reasoning, making uncertainty the object of precise calculation. Because this is not really a possible goal, statistical inference is not, cannot be, doing for us today what we imagine it is doing for us. It is for these reasons that statistical inference can be characterized as a myth. The book is aimed primarily at social scientists, for whom statistics and statistical inference are a common concern and frustration. Because the historical development given here is not merely anecdotal, but makes clear the guiding ideas and ambitions that motivated the formulation of particular methods, this book offers an understanding of statistical inference which has not hitherto been available. It will also serve as a supplement to the standard statistics texts. Finally, general readers will find here an interesting study with implications far beyond statistics. The development of statistical inference, to its present position of prominence in the social sciences, epitomizes a number of trends in Western intellectual history of the last three centuries, and the 11th chapter, considering the function of statistical inference in light of our needs for structure, rules, authority, and consensus in general, develops some provocative parallels, especially between epistemology and politics.

Acting under Uncertainty

Author : George M. von Furstenberg
Publisher : Springer Science & Business Media
ISBN 13 : 9401578737
Total Pages : 493 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Acting under Uncertainty by : George M. von Furstenberg

Download or read book Acting under Uncertainty written by George M. von Furstenberg and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty could be associated with wisdom, enterprise, and discovery. In ordinary speech, however, it has mostly negative connotations. There is "fear of the unknown" and "ignorance is bliss;" there are maxims to the effect that "what you don't know doesn't hurt you" (or: "bother you") in several languages. This volume suggests that we need be bothered by the excessive confidence with which scientists, particularly social scientists, present some of their conclusions and overstate their range of application. Otherwise many of the questions that should be raised about all the major uncertainties attending a particular issue routinely may continue to be thwarted or suppressed. Down playing uncertainty does not lead to more responsible or surer action, it sidetracks research agendas, and leaves the decision makers exposed to nasty surprise. This volume demonstrates that recognizing the many forms of uncertainty that enter into the development of any particular subject matter is a precondition for more responsible choice and deeper knowledge. Our purpose is to contribute to a broader appreciation of uncertainty than regularly accorded in any of the numerous disciplines represented here. The seventeenth-century French philosopher Descartes, quoted in this volume, wrote that "whoever is searching after truth must, once in his life, doubt all things; insofar as this is possible. " White areas left on maps of the world in past centuries were a much more productive challenge than marking the end of the known world with the pillars of Hercules.

Improving Statistical Reasoning

Author : Peter Sedlmeier
Publisher : Psychology Press
ISBN 13 : 1135705763
Total Pages : 249 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Improving Statistical Reasoning by : Peter Sedlmeier

Download or read book Improving Statistical Reasoning written by Peter Sedlmeier and published by Psychology Press. This book was released on 1999-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes an approach to understanding, modeling, and improving the probabilistic reasoning of ordinary adults, comparing their reasoning to that of "experts." For specialists in judgment and decision making and all cognitive scientists.

CRC Concise Encyclopedia of Mathematics

Author : Eric W. Weisstein
Publisher : CRC Press
ISBN 13 : 1420035223
Total Pages : 3253 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis CRC Concise Encyclopedia of Mathematics by : Eric W. Weisstein

Download or read book CRC Concise Encyclopedia of Mathematics written by Eric W. Weisstein and published by CRC Press. This book was released on 2002-12-12 with total page 3253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Advances in Combinatorial Methods and Applications to Probability and Statistics

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461241405
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Combinatorial Methods and Applications to Probability and Statistics by : N. Balakrishnan

Download or read book Advances in Combinatorial Methods and Applications to Probability and Statistics written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

Introductory Statistics for Engineering Experimentation

Author : Peter R. Nelson
Publisher : Elsevier
ISBN 13 : 0080491650
Total Pages : 527 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Introductory Statistics for Engineering Experimentation by : Peter R. Nelson

Download or read book Introductory Statistics for Engineering Experimentation written by Peter R. Nelson and published by Elsevier. This book was released on 2003-09-25 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Accreditation Board for Engineering and Technology (ABET) introduced a criterion starting with their 1992-1993 site visits that "Students must demonstrate a knowledge of the application of statistics to engineering problems." Since most engineering curricula are filled with requirements in their own discipline, they generally do not have time for a traditional two semesters of probability and statistics. Attempts to condense that material into a single semester often results in so much time being spent on probability that the statistics useful for designing and analyzing engineering/scientific experiments is never covered. In developing a one-semester course whose purpose was to introduce engineering/scientific students to the most useful statistical methods, this book was created to satisfy those needs. Provides the statistical design and analysis of engineering experiments & problems Presents a student-friendly approach through providing statistical models for advanced learning techniques Covers essential and useful statistical methods used by engineers and scientists

The Development of Arabic Mathematics: Between Arithmetic and Algebra

Author : R. Rashed
Publisher : Springer Science & Business Media
ISBN 13 : 9780792325659
Total Pages : 402 pages
Book Rating : 4.3/5 (256 download)

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Book Synopsis The Development of Arabic Mathematics: Between Arithmetic and Algebra by : R. Rashed

Download or read book The Development of Arabic Mathematics: Between Arithmetic and Algebra written by R. Rashed and published by Springer Science & Business Media. This book was released on 1994-06-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science.