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The Theory of Gambling and Statistical Logic

The Theory of Gambling and Statistical Logic
  • Author : Richard A. Epstein
  • Publisher :Unknown
  • Release Date :2009-09-28
  • Total pages :456
  • ISBN : 0080958613
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Summary : Early in his rise to enlightenment, man invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Recent advances in the field, particularly Parrondo's paradox, have triggered a surge of interest in the statistical and mathematical theory behind gambling. This interest was acknowledge in the motion picture, "21," inspired by the true story of the MIT students who mastered the art of card counting to reap millions from the Vegas casinos. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching to blackjack, from Tic-Tac-Toe to the stock market (including Edward Thorp's warrant-hedging analysis). He even considers whether statistical inference can shed light on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study. The book is written at a fairly sophisticated mathematical level; this is not "Gambling for Dummies" or "How To Beat The Odds Without Really Trying." A background in upper-level undergraduate mathematics is helpful for understanding this work. o Comprehensive and exciting analysis of all major casino games and variants o Covers a wide range of interesting topics not covered in other books on the subject o Depth and breadth of its material is unique compared to other books of this nature Richard Epstein's website: www.gamblingtheory.net

The Theory of Gambling and Statistical Logic, Revised Edition

The Theory of Gambling and Statistical Logic, Revised Edition
  • Author : Richard A. Epstein
  • Publisher :Unknown
  • Release Date :2014-06-28
  • Total pages :450
  • ISBN : 9780080571843
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Summary : [Man] invented a concept that has since been variously viewed as a vice, a crime, a business, a pleasure, a type of magic, a disease, a folly, a weakness, a form of sexual substitution, an expression of the human instinct. He invented gambling. Richard Epstein's classic book on gambling and its mathematical analysis covers the full range of games from penny matching, to blackjack and other casino games, to the stock market (including Black-Scholes analysis). He even considers what light statistical inference can shed on the study of paranormal phenomena. Epstein is witty and insightful, a pleasure to dip into and read and rewarding to study.

The Theory of Gambling and Statistical Logic

The Theory of Gambling and Statistical Logic
  • Author : Richard A. Epstein
  • Publisher :Unknown
  • Release Date :1995
  • Total pages :450
  • ISBN : 012240761X
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Summary : Looks at game theory and the statistical probabilities of a variety of games, including dice games, blackjack, contract bridge, and horse racing.

Probability Guide to Gambling

Probability Guide to Gambling
  • Author : Catalin Barboianu
  • Publisher :Unknown
  • Release Date :2006
  • Total pages :316
  • ISBN : 9789738752030
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Summary : Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decision-making criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated with all gaming events. It begins by explaining in simple terms the meaning of the concept of probability for the layman and goes on to become an enlightening journey through the mathematics of chance, randomness and risk. It then continues with the basics of discrete probability (definitions, properties, theorems and calculus formulas), combinatorics and counting arguments for those interested in the supporting mathematics. These mathematic sections may be skipped by readers who do not have a minimal background in mathematics; these readers can skip directly to the Guide to Numerical Results to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter, in which the results are listed at the end of each section, mostly in the form of tables. The chapter titled The Mathematics of Games of Chance presents these games not only as a good application field for probability theory, but also in terms of human actions where probability-based strategies can be tried to achieve favorable results. Through suggestive examples, the reader can see what are the experiments, events and probability fields in games of chance and how probability calculus works there. The main portion of this work is a collection of probability results for each type of game. Each game s section is packed with formulas and tables. Each section also contains a description of the game, a classification of the gaming events and the applicable probability calculations. The primary goal of this work is to allow the reader to quickly find the odds for a specific gaming situation, in order to improve his or her betting/gaming decisions. Every type of gaming event is tabulated in a logical, consistent and comprehensive manner. The complete methodology and complete or partial calculations are shown to teach players how to calculate probability for any situation, for every stage of the game for any game. Here, readers can find the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. Collections of odds are presented, as well as strategic recommendations based on those odds, where necessary, for each type of gaming situation. The book contains much new and original material that has not been published previously and provides great coverage of probabilities for the following games of chance: Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold em Poker, Lottery and Sport Bets. Most of games of chance are predisposed to probability-based decisions. This is why the approach is not an exclusively statistical one (like many other titles published on this subject), but analytical: every gaming event is taken as an individual applied probability problem to solve. A special chapter defines the probability-based strategy and mathematically shows why such strategy is theoretically optimal."

Gambling Theory and Other Topics

Gambling Theory and Other Topics
  • Author : Mason Malmuth
  • Publisher :Unknown
  • Release Date :1999
  • Total pages :313
  • ISBN : 1880685035
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Summary : Absolutely must reading for all serious gamblers. Most people who gamble are basically attracted by the action and the excitement that this form of entertainment offers. But a small number of people are quite successful at it. How is this so? What helps these few to make decisions that devastate their opponents? And what do you need to do to become successful at this extremely challenging occupation? This text attempts to answer these questions. You will be introduced to the dynamic concept of non-self-weighting strategies and shown how these strategies apply not only at the "very exciting gaming tables" but in real life as well. In addition, risk and fluctuations are discussed in terms of the standard deviation and their relationship to each other and to your bankroll. Some of the other topics addressed are bankroll requirements, win-rate accuracy, free bets, which blackjack count is best, lottery fallacies, dangerous ideas, poker tournament strategies (including when it is correct to rebuy), settling up in tournaments, pai gow poker, super pan nine, the world's greatest gamblers, and building pyramids.

Mathematics of Games and Gambling

Mathematics of Games and Gambling
  • Author : Edward W. Packel
  • Publisher :Unknown
  • Release Date :2006-12-14
  • Total pages :175
  • ISBN : 0883856468
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Summary : The new edition of a favourite, featuring fresh material such as betting in sport and bluffing in poker.

The Doctrine of Chances

The Doctrine of Chances
  • Author : Stewart N. Ethier
  • Publisher :Unknown
  • Release Date :2010-05-19
  • Total pages :816
  • ISBN : 3540787836
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Summary : 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.

The Perfect Bet

The Perfect Bet
  • Author : Adam Kucharski
  • Publisher :Unknown
  • Release Date :2016-02-23
  • Total pages :288
  • ISBN : 9780465098590
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Summary : "An elegant and amusing account" of how gambling has been reshaped by the application of science and revealed the truth behind a lucky bet (Wall Street Journal). For the past 500 years, gamblers-led by mathematicians and scientists-have been trying to figure out how to pull the rug out from under Lady Luck. In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

Probability, Statistics, and Truth

Probability, Statistics, and Truth
  • Author : Richard Von Mises
  • Publisher :Unknown
  • Release Date :1957
  • Total pages :244
  • ISBN : 9780486242149
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Summary : This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.

The Logical Foundations of Statistical Inference

The Logical Foundations of Statistical Inference
  • Author : Henry E. Kyburg Jr.
  • Publisher :Unknown
  • Release Date :2012-12-06
  • Total pages :433
  • ISBN : 9789401021753
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Summary : Everyone knows it is easy to lie with statistics. It is important then to be able to tell a statistical lie from a valid statistical inference. It is a relatively widely accepted commonplace that our scientific knowledge is not certain and incorrigible, but merely probable, subject to refinement, modifi cation, and even overthrow. The rankest beginner at a gambling table understands that his decisions must be based on mathematical ex pectations - that is, on utilities weighted by probabilities. It is widely held that the same principles apply almost all the time in the game of life. If we turn to philosophers, or to mathematical statisticians, or to probability theorists for criteria of validity in statistical inference, for the general principles that distinguish well grounded from ill grounded generalizations and laws, or for the interpretation of that probability we must, like the gambler, take as our guide in life, we find disagreement, confusion, and frustration. We might be prepared to find disagreements on a philosophical and theoretical level (although we do not find them in the case of deductive logic) but we do not expect, and we may be surprised to find, that these theoretical disagreements lead to differences in the conclusions that are regarded as 'acceptable' in the practice of science and public affairs, and in the conduct of business.

Introduction to Probability

Introduction to Probability
  • Author : Charles Miller Grinstead,James Laurie Snell
  • Publisher :Unknown
  • Release Date :2012-10
  • Total pages :510
  • ISBN : 9780821894149
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Summary : This text is designed for an introductory probability course at the university level for sophomores, juniors, and seniors in mathematics, physical and social sciences, engineering, and computer science. It presents a thorough treatment of ideas and techniques necessary for a firm understanding of the subject. The text is also recommended for use in discrete probability courses. The material is organized so that the discrete and continuous probability discussions are presented in a separate, but parallel, manner. This organization does not emphasize an overly rigorous or formal view of probability and therefore offers some strong pedagogical value. Hence, the discrete discussions can sometimes serve to motivate the more abstract continuous probability discussions. Features: Key ideas are developed in a somewhat leisurely style, providing a variety of interesting applications to probability and showing some nonintuitive ideas. Over 600 exercises provide the opportunity for practicing skills and developing a sound understanding of ideas. Numerous historical comments deal with the development of discrete probability. The text includes many computer programs that illustrate the algorithms or the methods of computation for important problems. The book is a beautiful introduction to probability theory at the beginning level. The book contains a lot of examples and an easy development of theory without any sacrifice of rigor, keeping the abstraction to a minimal level. It is indeed a valuable addition to the study of probability theory. --Zentralblatt MATH

Luck, Logic, and White Lies

Luck, Logic, and White Lies
  • Author : Jörg Bewersdorff
  • Publisher :Unknown
  • Release Date :2004-12-10
  • Total pages :504
  • ISBN : 9781000065312
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Summary : This book considers a specific problem—generally a game or game fragment, and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.

Probability, Statistics, and Stochastic Processes

Probability, Statistics, and Stochastic Processes
  • Author : Peter Olofsson,Mikael Andersson
  • Publisher :Unknown
  • Release Date :2012-05-22
  • Total pages :576
  • ISBN : 9780470889749
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Summary : Praise for the First Edition ". . . an excellent textbook . . . well organized and neatly written." —Mathematical Reviews ". . . amazingly interesting . . ." —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.

Introducing Statistics

Introducing Statistics
  • Author : Eileen Magnello
  • Publisher :Unknown
  • Release Date :2014-06-05
  • Total pages :176
  • ISBN : 9781848317734
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Summary : From the medicine we take, the treatments we receive, the aptitude and psychometric tests given by employers, the cars we drive, the clothes we wear to even the beer we drink, statistics have given shape to the world we inhabit. For the media, statistics are routinely 'damning', 'horrifying', or, occasionally, 'encouraging'. Yet, for all their ubiquity, most of us really don't know what to make of statistics. Exploring the history, mathematics, philosophy and practical use of statistics, Eileen Magnello - accompanied by Bill Mayblin's intelligent graphic illustration - traces the rise of statistics from the ancient Babylonians, Egyptians and Chinese, to the censuses of Romans and the Greeks, and the modern emergence of the term itself in Europe. She explores the 'vital statistics' of, in particular, William Farr, and the mathematical statistics of Karl Pearson and R.A. Fisher.She even tells how knowledge of statistics can prolong one's life, as it did for evolutionary biologist Stephen Jay Gould, given eight months to live after a cancer diagnoses in 1982 - and he lived until 2002. This title offers an enjoyable, surprise-filled tour through a subject that is both fascinating and crucial to understanding our world.

An Introduction to Probability and Inductive Logic

An Introduction to Probability and Inductive Logic
  • Author : Ian Hacking,Hacking Ian
  • Publisher :Unknown
  • Release Date :2001-07-02
  • Total pages :302
  • ISBN : 0521775019
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Summary : An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

Chance, Luck, and Statistics

Chance, Luck, and Statistics
  • Author : Horace C. Levinson
  • Publisher :Unknown
  • Release Date :2001-01-01
  • Total pages :357
  • ISBN : 0486419975
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Summary : In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. Topics includenbsp;the theory of probability in relation to superstitions, betting odds, warfare,nbsp;social problems, stocks, and other areas. "Clear and lively ...nbsp;remarkably accurate." —Scientific Monthly.

Mathematics in Games, Sports, and Gambling

Mathematics in Games, Sports, and Gambling
  • Author : Ronald J. Gould
  • Publisher :Unknown
  • Release Date :2015-10-28
  • Total pages :354
  • ISBN : 9781498719537
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Summary : Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. This updated edition of a widely adopted textbook considers a number of popular games and diversions that are mathematically based or can be studied from a mathematical perspective. Requiring only high school algebra, the book is suitable for use as a textbook in seminars, general education courses, or as a supplement in introductory probability courses. New in this Edition: Many new exercises, including basic skills exercises More answers in the back of the book Expanded summary exercises, including writing exercises More detailed examples, especially in the early chapters An expansion of the discrete adjustment technique for binomial approximation problems New sections on chessboard puzzles that encourage students to develop graph theory ideas New review material on relations and functions Exercises are included in each section to help students understand the various concepts. The text covers permutations in the two-deck matching game so derangements can be counted. It introduces graphs to find matches when looking at extensions of the five-card trick and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and actual sports data.

The Mathematics of Gambling

The Mathematics of Gambling
  • Author : Edward Thorp
  • Publisher :Unknown
  • Release Date :1984
  • Total pages :161
  • ISBN : 0897460197
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Summary :

Mathematics of Casino Carnival Games

Mathematics of Casino Carnival Games
  • Author : Mark Bollman
  • Publisher :Unknown
  • Release Date :2020-10-20
  • Total pages :308
  • ISBN : 9781000192032
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Summary : There are thousands of books relating to poker, blackjack, roulette and baccarat, including strategy guides, statistical analysis, psychological studies, and much more. However, there are no books on Pell, Rouleno, Street Dice, and many other games that have had a short life in casinos! While this is understandable — most casino gamblers have not heard of these games, and no one is currently playing them — their absence from published works means that some interesting mathematics and gaming history are at risk of being lost forever. Table games other than baccarat, blackjack, craps, and roulette are called carnival games, as a nod to their origin in actual traveling or seasonal carnivals. Mathematics of Casino Carnival Games is a focused look at these games and the mathematics at their foundation. Features • Exercises, with solutions, are included for readers who wish to practice the ideas presented • Suitable for a general audience with an interest in the mathematics of gambling and games • Goes beyond providing practical ‘tips’ for gamblers, and explores the mathematical principles that underpin gambling games

Optimal Play

Optimal Play
  • Author : Stewart N. Ethier,William R. Eadington
  • Publisher :Unknown
  • Release Date :2007
  • Total pages :550
  • ISBN : 0979687306
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Summary :

How Not to be Wrong

How Not to be Wrong
  • Author : Jordan Ellenberg
  • Publisher :Unknown
  • Release Date :2014
  • Total pages :468
  • ISBN : 9781594205224
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Summary : The columnist for Slate's popular "Do the Math" celebrates the logical, illuminating nature of math in today's world, sharing in accessible language mathematical approaches that demystify complex and everyday problems.