The Theory of Gambling and Statistical Logic

The Theory of Gambling and Statistical Logic
Author: Richard A. Epstein
Publsiher: Academic Press
Total Pages: 456
Release: 2009-09-28
ISBN 10: 9780080958613
ISBN 13: 0080958613
Language: EN, FR, DE, ES & NL

The Theory of Gambling and Statistical Logic Book Review:

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
Publsiher: Gulf Professional Publishing
Total Pages: 450
Release: 2014-06-28
ISBN 10: 0080571840
ISBN 13: 9780080571843
Language: EN, FR, DE, ES & NL

The Theory of Gambling and Statistical Logic Revised Edition Book Review:

[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
Publsiher: Gulf Professional Publishing
Total Pages: 450
Release: 1995
ISBN 10: 9780122407611
ISBN 13: 012240761X
Language: EN, FR, DE, ES & NL

The Theory of Gambling and Statistical Logic Book Review:

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
Publsiher: INFAROM Publishing
Total Pages: 316
Release: 2006
ISBN 10: 9738752035
ISBN 13: 9789738752030
Language: EN, FR, DE, ES & NL

Probability Guide to Gambling Book Review:

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."

Taking Chances

Taking Chances
Author: John Haigh
Publsiher: Oxford University Press, USA
Total Pages: 373
Release: 2003
ISBN 10: 0198526636
ISBN 13: 9780198526636
Language: EN, FR, DE, ES & NL

Taking Chances Book Review:

"What are the odds against winning the Lotto, The Weakest Link, or Who Wants to be a Millionaire? The answer lies in the science of probability, yet many of us are unaware of how this science works. Every day, people make judgements on a wide variety of situations where chance plays a role, including buying insurance, betting on horse-racing, following medical advice - even carrying an umbrella. In Taking Chances, John Haigh guides the reader round common pitfalls, demonstrates how to make better-informed decisions, and shows where the odds can be unexpectedly in your favour. This new edition has been fully updated, and includes information on top television shows, plus a new chapter on Probability for Lawyers."--BOOK JACKET.

The Logical Foundations of Statistical Inference

The Logical Foundations of Statistical Inference
Author: Henry E. Kyburg Jr.
Publsiher: Springer Science & Business Media
Total Pages: 433
Release: 2012-12-06
ISBN 10: 9401021759
ISBN 13: 9789401021753
Language: EN, FR, DE, ES & NL

The Logical Foundations of Statistical Inference Book Review:

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.

The Doctrine of Chances

The Doctrine of Chances
Author: Stewart N. Ethier
Publsiher: Springer Science & Business Media
Total Pages: 816
Release: 2010-05-19
ISBN 10: 9783540787839
ISBN 13: 3540787836
Language: EN, FR, DE, ES & NL

The Doctrine of Chances Book Review:

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.

Probability Statistics and Truth

Probability  Statistics  and Truth
Author: Richard Von Mises
Publsiher: Courier Corporation
Total Pages: 244
Release: 1957
ISBN 10: 0486242145
ISBN 13: 9780486242149
Language: EN, FR, DE, ES & NL

Probability Statistics and Truth Book Review:

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.

Basic Gambling Mathematics

Basic Gambling Mathematics
Author: Mark Bollman
Publsiher: CRC Press
Total Pages: 284
Release: 2014-06-13
ISBN 10: 1482208938
ISBN 13: 9781482208931
Language: EN, FR, DE, ES & NL

Basic Gambling Mathematics Book Review:

Understand the Math Underlying Some of Your Favorite Gambling Games Basic Gambling Mathematics: The Numbers Behind the Neon explains the mathematics involved in analyzing games of chance, including casino games, horse racing, and lotteries. The book helps readers understand the mathematical reasons why some gambling games are better for the player than others. It is also suitable as a textbook for an introductory course on probability. Along with discussing the mathematics of well-known casino games, the author examines game variations that have been proposed or used in actual casinos. Numerous examples illustrate the mathematical ideas in a range of casino games while end-of-chapter exercises go beyond routine calculations to give readers hands-on experience with casino-related computations. The book begins with a brief historical introduction and mathematical preliminaries before developing the essential results and applications of elementary probability, including the important idea of mathematical expectation. The author then addresses probability questions arising from a variety of games, including roulette, craps, baccarat, blackjack, Caribbean stud poker, Royal Roulette, and sic bo. The final chapter explores the mathematics behind "get rich quick" schemes, such as the martingale and the Iron Cross, and shows how simple mathematics uncovers the flaws in these systems.

Probability Decisions and Games

Probability  Decisions and Games
Author: Abel Rodríguez,Bruno Mendes
Publsiher: John Wiley & Sons
Total Pages: 240
Release: 2018-04-24
ISBN 10: 1119302609
ISBN 13: 9781119302605
Language: EN, FR, DE, ES & NL

Probability Decisions and Games Book Review:

INTRODUCES THE FUNDAMENTALS OF PROBABILITY, STATISTICS, DECISION THEORY, AND GAME THEORY, AND FEATURES INTERESTING EXAMPLES OF GAMES OF CHANCE AND STRATEGY TO MOTIVATE AND ILLUSTRATE ABSTRACT MATHEMATICAL CONCEPTS Covering both random and strategic games, Probability, Decisions and Games features a variety of gaming and gambling examples to build a better understanding of basic concepts of probability, statistics, decision theory, and game theory. The authors present fundamental concepts such as random variables, rational choice theory, mathematical expectation and variance, fair games, combinatorial calculus, conditional probability, Bayes Theorem, Bernoulli trials, zero-sum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, Rock-Paper-Scissors, the Game of Chicken and Tic-Tac-Toe. Computer simulations, implemented using the popular R computing environment, are used to provide intuition on key concepts and verify complex calculations. The book starts by introducing simple concepts that are carefully motivated by the same historical examples that drove their original development of the field of probability, and then applies those concepts to popular contemporary games. The first two chapters of Probability, Decisions and Games: A Gentle Introduction using R feature an introductory discussion of probability and rational choice theory in finite and discrete spaces that builds upon the simple games discussed in the famous correspondence between Blaise Pascal and Pierre de Fermat. Subsequent chapters utilize popular casino games such as Roulette and Blackjack to expand on these concepts illustrate modern applications of these methodologies. Finally, the book concludes with discussions on game theory using a number of strategic games. This book: · Features introductory coverage of probability, statistics, decision theory and game theory, and has been class-tested at University of California, Santa Cruz for the past six years · Illustrates basic concepts in probability through interesting and fun examples using a number of popular casino games: roulette, lotto, craps, blackjack, and poker · Introduces key ideas in game theory using classic games such as Rock-Paper-Scissors, Chess, and Tic-Tac-Toe. · Features computer simulations using R throughout in order to illustrate complex concepts and help readers verify complex calculations · Contains exercises and approaches games and gambling at a level that is accessible for readers with minimal experience · Adopts a unique approach by motivating complex concepts using first simple games and then moving on to more complex, well-known games that illustrate how these concepts work together Probability, Decisions and Games: A Gentle Introduction using R is a unique and helpful textbook for undergraduate courses on statistical reasoning, introduction to probability, statistical literacy, and quantitative reasoning for students from a variety of disciplines. ABEL RODRÍGUEZ, PhD, is Professor in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz (UCSC), CA, USA. The author of 40 journal articles, his research interests include Bayesian nonparametric methods, machine learning, spatial temporal models, network models, and extreme value theory. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.INTRODUCES THE FUNDAMENTALS OF PROBABILITY, STATISTICS, DECISION THEORY, AND GAME THEORY, AND FEATURES INTERESTING EXAMPLES OF GAMES OF CHANCE AND STRATEGY TO MOTIVATE AND ILLUSTRATE ABSTRACT MATHEMATICAL CONCEPTS Covering both random and strategic games, Probability, Decisions and Games features a variety of gaming and gambling examples to build a better understanding of basic concepts of probability, statistics, decision theory, and game theory. The authors present fundamental concepts such as random variables, rational choice theory, mathematical expectation and variance, fair games, combinatorial calculus, conditional probability, Bayes Theorem, Bernoulli trials, zero-sum games and Nash equilibria, as well as their application in games such as Roulette, Craps, Lotto, Blackjack, Poker, Rock-Paper-Scissors, the Game of Chicken and Tic-Tac-Toe. Computer simulations, implemented using the popular R computing environment, are used to provide intuition on key concepts and verify complex calculations. The book starts by introducing simple concepts that are carefully motivated by the same historical examples that drove their original development of the field of probability, and then applies those concepts to popular contemporary games. The first two chapters of Probability, Decisions and Games: A Gentle Introduction using R feature an introductory discussion of probability and rational choice theory in finite and discrete spaces that builds upon the simple games discussed in the famous correspondence between Blaise Pascal and Pierre de Fermat. Subsequent chapters utilize popular casino games such as Roulette and Blackjack to expand on these concepts illustrate modern applications of these methodologies. Finally, the book concludes with discussions on game theory using a number of strategic games. This book: • Features introductory coverage of probability, statistics, decision theory and game theory, and has been class-tested at University of California, Santa Cruz for the past six years • Illustrates basic concepts in probability through interesting and fun examples using a number of popular casino games: roulette, lotto, craps, blackjack, and poker • Introduces key ideas in game theory using classic games such as Rock-Paper-Scissors, Chess, and Tic-Tac-Toe. • Features computer simulations using R throughout in order to illustrate complex concepts and help readers verify complex calculations • Contains exercises and approaches games and gambling at a level that is accessible for readers with minimal experience • Adopts a unique approach by motivating complex concepts using first simple games and then moving on to more complex, well-known games that illustrate how these concepts work together Probability, Decisions and Games: A Gentle Introduction using R is a unique and helpful textbook for undergraduate courses on statistical reasoning, introduction to probability, statistical literacy, and quantitative reasoning for students from a variety of disciplines. ABEL RODRÍGUEZ, PhD, is Professor in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz (UCSC), CA, USA. The author of 40 journal articles, his research interests include Bayesian nonparametric methods, machine learning, spatial temporal models, network models, and extreme value theory. BRUNO MENDES, PhD, is Lecturer in the Department of Applied Mathematics and Statistics at the University of California, Santa Cruz, CA, USA.

Games Gods and Gambling

Games  Gods and Gambling
Author: F. N. David
Publsiher: Anonim
Total Pages: 275
Release: 1962
ISBN 10:
ISBN 13: OCLC:174592655
Language: EN, FR, DE, ES & NL

Games Gods and Gambling Book Review:

Luck Logic and White Lies

Luck  Logic  and White Lies
Author: Jörg Bewersdorff
Publsiher: CRC Press
Total Pages: 504
Release: 2004-12-10
ISBN 10: 1000065316
ISBN 13: 9781000065312
Language: EN, FR, DE, ES & NL

Luck Logic and White Lies Book Review:

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.

An Introduction to Probability and Inductive Logic

An Introduction to Probability and Inductive Logic
Author: Ian Hacking,Hacking Ian
Publsiher: Cambridge University Press
Total Pages: 302
Release: 2001-07-02
ISBN 10: 9780521775014
ISBN 13: 0521775019
Language: EN, FR, DE, ES & NL

An Introduction to Probability and Inductive Logic Book Review:

An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

Practical Casino Math

Practical Casino Math
Author: Robert C. Hannum,Anthony N. Cabot
Publsiher: Anonim
Total Pages: 300
Release: 2005
ISBN 10: 9780942828535
ISBN 13: 0942828534
Language: EN, FR, DE, ES & NL

Practical Casino Math Book Review:

How Not to be Wrong

How Not to be Wrong
Author: Jordan Ellenberg
Publsiher: Penguin Press HC
Total Pages: 468
Release: 2014
ISBN 10: 1594205221
ISBN 13: 9781594205224
Language: EN, FR, DE, ES & NL

How Not to be Wrong Book Review:

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.

Probability Statistics and Stochastic Processes

Probability  Statistics  and Stochastic Processes
Author: Peter Olofsson,Mikael Andersson
Publsiher: John Wiley & Sons
Total Pages: 576
Release: 2012-05-22
ISBN 10: 0470889748
ISBN 13: 9780470889749
Language: EN, FR, DE, ES & NL

Probability Statistics and Stochastic Processes Book Review:

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.

Million Dollar Maths

Million Dollar Maths
Author: Hugh Barker
Publsiher: Atlantic Books (UK)
Total Pages: 320
Release: 2020-01-03
ISBN 10: 9781786493248
ISBN 13: 1786493241
Language: EN, FR, DE, ES & NL

Million Dollar Maths Book Review:

How can you turn $1000 into $1 million? What is the best way to beat the lottery odds? When is the best time to take out a loan? How did one group of gamblers bet on hole-in-ones to win £500,000? How can maths help you set up a successful tech start-up? What about proving the Goldbach Conjecture for $1 million? Million Dollar Maths is a fun but invaluable guide to the straightforward and outlandish mathematical strategies that can make you rich. Learn the techniques for growing your everyday finances, as well as the common mistakes to avoid. Discover the skills, both fair and foul, that offer an additional edge when investing and gambling. And discover why we often misunderstand probability and statistics - with troubling financial costs. From making the most of special offers to utilising the power of exponential growth in your investments; from the art of card counting, to inventing the next Google, Million Dollar Maths is the quintessential primer to the myriad ways maths and finance intersect.

Randomness

Randomness
Author: Deborah J. Bennett
Publsiher: Harvard University Press
Total Pages: 256
Release: 2009-07
ISBN 10: 9780674020771
ISBN 13: 0674020774
Language: EN, FR, DE, ES & NL

Randomness Book Review:

From the ancients' first readings of the innards of birds to your neighbor's last bout with the state lottery, humankind has put itself into the hands of chance. Today life itself may be at stake when probability comes into play--in the chance of a false negative in a medical test, in the reliability of DNA findings as legal evidence, or in the likelihood of passing on a deadly congenital disease--yet as few people as ever understand the odds. This book is aimed at the trouble with trying to learn about probability. A story of the misconceptions and difficulties civilization overcame in progressing toward probabilistic thinking, Randomness is also a skillful account of what makes the science of probability so daunting in our own day. To acquire a (correct) intuition of chance is not easy to begin with, and moving from an intuitive sense to a formal notion of probability presents further problems. Author Deborah Bennett traces the path this process takes in an individual trying to come to grips with concepts of uncertainty and fairness, and also charts the parallel path by which societies have developed ideas about chance. Why, from ancient to modern times, have people resorted to chance in making decisions? Is a decision made by random choice fair? What role has gambling played in our understanding of chance? Why do some individuals and societies refuse to accept randomness at all? If understanding randomness is so important to probabilistic thinking, why do the experts disagree about what it really is? And why are our intuitions about chance almost always dead wrong? Anyone who has puzzled over a probability conundrum is struck by the paradoxes and counterintuitive results that occur at a relatively simple level. Why this should be, and how it has been the case through the ages, for bumblers and brilliant mathematicians alike, is the entertaining and enlightening lesson of Randomness.

Introduction to Probability

Introduction to Probability
Author: Charles Miller Grinstead,James Laurie Snell
Publsiher: American Mathematical Soc.
Total Pages: 510
Release: 2012-10
ISBN 10: 0821894145
ISBN 13: 9780821894149
Language: EN, FR, DE, ES & NL

Introduction to Probability Book Review:

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

How to Gamble If You Must

How to Gamble If You Must
Author: Lester E. Dubins,Leonard J. Savage,William Sudderth,David Gilat
Publsiher: Courier Corporation
Total Pages: 304
Release: 2014-08-20
ISBN 10: 0486780643
ISBN 13: 9780486780641
Language: EN, FR, DE, ES & NL

How to Gamble If You Must Book Review:

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