The Splendors and Miseries of Martingales

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Author :
Publisher : Springer Nature
ISBN 13 : 3031059883
Total Pages : 419 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Splendors and Miseries of Martingales by : Laurent Mazliak

Download or read book The Splendors and Miseries of Martingales written by Laurent Mazliak and published by Springer Nature. This book was released on 2022-10-17 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past eighty years, martingales have become central in the mathematics of randomness. They appear in the general theory of stochastic processes, in the algorithmic theory of randomness, and in some branches of mathematical statistics. Yet little has been written about the history of this evolution. This book explores some of the territory that the history of the concept of martingales has transformed. The historian of martingales faces an immense task. We can find traces of martingale thinking at the very beginning of probability theory, because this theory was related to gambling, and the evolution of a gambler’s holdings as a result of following a particular strategy can always be understood as a martingale. More recently, in the second half of the twentieth century, martingales became important in the theory of stochastic processes at the very same time that stochastic processes were becoming increasingly important in probability, statistics and more generally in various applied situations. Moreover, a history of martingales, like a history of any other branch of mathematics, must go far beyond an account of mathematical ideas and techniques. It must explore the context in which the evolution of ideas took place: the broader intellectual milieux of the actors, the networks that already existed or were created by the research, even the social and political conditions that favored or hampered the circulation and adoption of certain ideas. This books presents a stroll through this history, in part a guided tour, in part a random walk. First, historical studies on the period from 1920 to 1950 are presented, when martingales emerged as a distinct mathematical concept. Then insights on the period from 1950 into the 1980s are offered, when the concept showed its value in stochastic processes, mathematical statistics, algorithmic randomness and various applications.

The Doctrine of Chances

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540787836
Total Pages : 822 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Doctrine of Chances by : Stewart N. Ethier

Download or read book The Doctrine of Chances written by Stewart N. Ethier and published by Springer Science & Business Media. This book was released on 2010-05-19 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three centuries ago Montmort and De Moivre published two books on probability theory emphasizing its most important application at that time, games of chance. This book, on the probabilistic aspects of gambling, is a modern version of those classics.

Casanova's Lottery

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Author :
Publisher : University of Chicago Press
ISBN 13 : 0226820785
Total Pages : 252 pages
Book Rating : 4.2/5 (268 download)

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Book Synopsis Casanova's Lottery by : Stephen M. Stigler

Download or read book Casanova's Lottery written by Stephen M. Stigler and published by University of Chicago Press. This book was released on 2022-10-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fascinating story of an important lottery that flourished in France from 1757 to 1836 and its role in transforming our understanding of the nature of risk. In the 1750s, at the urging of famed adventurer Giacomo Casanova, the French state began to embrace risk in adopting a new Loterie. The prize amounts paid varied, depending on the number of tickets bought and the amount of the bet, as determined by each individual bettor. The state could lose money on any individual Loterie drawing while being statistically guaranteed to come out on top in the long run. In adopting this framework, the French state took on risk in a way no other has, before or after. At each drawing the state was at risk of losing a large amount; what is more, that risk was precisely calculable, generally well understood, and yet taken on by the state with little more than a mathematical theory to protect it. Stephen M. Stigler follows the Loterie from its curious inception through its hiatus during the French Revolution, its renewal and expansion in 1797, and finally to its suppression in 1836, examining throughout the wider question of how members of the public came to trust in new financial technologies and believe in their value. Drawing from an extensive collection of rare ephemera, Stigler pieces together the Loterie’s remarkable inner workings, as well as its implications for the nature of risk and the role of lotteries in social life over the period 1700–1950. Both a fun read and fodder for many fields, Casanova's Lottery shines new light on the conscious introduction of risk into the management of a nation-state and the rationality of playing unfair games.

A History of Playing Cards and a Bibliography of Cards and Gaming

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486412369
Total Pages : 516 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A History of Playing Cards and a Bibliography of Cards and Gaming by : Catherine Perry Hargrave

Download or read book A History of Playing Cards and a Bibliography of Cards and Gaming written by Catherine Perry Hargrave and published by Courier Corporation. This book was released on 2000-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intricate, absorbing study based on research and card collections from around the world tells the story of playing cards and their manufacture, plus provides a fascinating overview of heraldry, geography, history, and the social and political activities of man over the past six centuries. Includes an enormous annotated bibliography of more than 900 items on playing cards and games, and over 1,400 illustrations. Praised by The New York Times as "the most authoritative and complete treatment of its kind."

Proceedings of the Leeds Philosophical and Literary Society, Literary and Historical Section

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Author :
Publisher :
ISBN 13 :
Total Pages : 758 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings of the Leeds Philosophical and Literary Society, Literary and Historical Section by :

Download or read book Proceedings of the Leeds Philosophical and Literary Society, Literary and Historical Section written by and published by . This book was released on 1925 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Catalogue of the Library of the Royal Society

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Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Book Catalogue of the Library of the Royal Society by : Royal Society (Great Britain). Library

Download or read book Book Catalogue of the Library of the Royal Society written by Royal Society (Great Britain). Library and published by . This book was released on 1982 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cahiers Vilfredo Pareto

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Author :
Publisher :
ISBN 13 :
Total Pages : 724 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Cahiers Vilfredo Pareto by :

Download or read book Cahiers Vilfredo Pareto written by and published by . This book was released on 1991 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt:

La théorie des jeux de hasard, ou: Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi et du lotto

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Author :
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.1/5 (481 download)

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Book Synopsis La théorie des jeux de hasard, ou: Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi et du lotto by : P. N. Huyn

Download or read book La théorie des jeux de hasard, ou: Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi et du lotto written by P. N. Huyn and published by . This book was released on 1788 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game-Theoretic Foundations for Probability and Finance

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118547934
Total Pages : 483 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Game-Theoretic Foundations for Probability and Finance by : Glenn Shafer

Download or read book Game-Theoretic Foundations for Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2019-03-21 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game-theoretic probability and finance come of age Glenn Shafer and Vladimir Vovk’s Probability and Finance, published in 2001, showed that perfect-information games can be used to define mathematical probability. Based on fifteen years of further research, Game-Theoretic Foundations for Probability and Finance presents a mature view of the foundational role game theory can play. Its account of probability theory opens the way to new methods of prediction and testing and makes many statistical methods more transparent and widely usable. Its contributions to finance theory include purely game-theoretic accounts of Ito’s stochastic calculus, the capital asset pricing model, the equity premium, and portfolio theory. Game-Theoretic Foundations for Probability and Finance is a book of research. It is also a teaching resource. Each chapter is supplemented with carefully designed exercises and notes relating the new theory to its historical context. Praise from early readers “Ever since Kolmogorov's Grundbegriffe, the standard mathematical treatment of probability theory has been measure-theoretic. In this ground-breaking work, Shafer and Vovk give a game-theoretic foundation instead. While being just as rigorous, the game-theoretic approach allows for vast and useful generalizations of classical measure-theoretic results, while also giving rise to new, radical ideas for prediction, statistics and mathematical finance without stochastic assumptions. The authors set out their theory in great detail, resulting in what is definitely one of the most important books on the foundations of probability to have appeared in the last few decades.” – Peter Grünwald, CWI and University of Leiden “Shafer and Vovk have thoroughly re-written their 2001 book on the game-theoretic foundations for probability and for finance. They have included an account of the tremendous growth that has occurred since, in the game-theoretic and pathwise approaches to stochastic analysis and in their applications to continuous-time finance. This new book will undoubtedly spur a better understanding of the foundations of these very important fields, and we should all be grateful to its authors.” – Ioannis Karatzas, Columbia University

La théorie des jeux de hasard, ou, Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi & du lotto

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Author :
Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (939 download)

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Book Synopsis La théorie des jeux de hasard, ou, Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi & du lotto by : P. N. Huyn

Download or read book La théorie des jeux de hasard, ou, Analyse du krabs, du passe-dix, de la roulette, du trente & quarante, du pharaon, du biribi & du lotto written by P. N. Huyn and published by . This book was released on 1919 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How to Gamble If You Must

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486780643
Total Pages : 307 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis How to Gamble If You Must by : Lester E. Dubins

Download or read book How to Gamble If You Must written by Lester E. Dubins and published by Courier Corporation. This book was released on 2014-08-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com

La théorie des jeux de hasard

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Author :
Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (363 download)

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Book Synopsis La théorie des jeux de hasard by : P. N. Huyn

Download or read book La théorie des jeux de hasard written by P. N. Huyn and published by . This book was released on 1803 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability and Finance

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471461717
Total Pages : 438 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Probability and Finance by : Glenn Shafer

Download or read book Probability and Finance written by Glenn Shafer and published by John Wiley & Sons. This book was released on 2005-02-25 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.

Finding the Edge

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Publisher : University of Nevada, Reno Bureau of Business & Economic Research
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Finding the Edge by : Olaf Vancura

Download or read book Finding the Edge written by Olaf Vancura and published by University of Nevada, Reno Bureau of Business & Economic Research. This book was released on 2000 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text gives information on the current status of gambling and the issues that arise with the existence of legal commercial gaming. It provides an analysis of a variety of gambling opportunities, including studies in sports and horse-race betting, video poker, roulette and craps.

La théorie des jeux de hasard. Analyse du krabs, du passe-dix, de la roulette, du trente et quarante

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Author :
Publisher :
ISBN 13 : 9782019127299
Total Pages : 54 pages
Book Rating : 4.1/5 (272 download)

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Book Synopsis La théorie des jeux de hasard. Analyse du krabs, du passe-dix, de la roulette, du trente et quarante by : Huyn-P

Download or read book La théorie des jeux de hasard. Analyse du krabs, du passe-dix, de la roulette, du trente et quarante written by Huyn-P and published by . This book was released on 2018-02-28 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Gambling and Statistical Logic

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780122407611
Total Pages : 476 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis The Theory of Gambling and Statistical Logic by : Richard A. Epstein

Download or read book The Theory of Gambling and Statistical Logic written by Richard A. Epstein and published by Gulf Professional Publishing. This book was released on 1995 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering all aspects of gambling, The Theory of Gambling and Statistical Logic is mathematically sophisticated, but can be read for what it says about the games and strategies, skipping the technicalities. The material is fascinating and detailed, and the analysis is masterful.

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

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Author :
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."