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Classic Problems Of Probability

Author: Prakash Gorroochurn
Publisher: John Wiley & Sons
ISBN: 1118063252
Size: 26.59 MB
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Detailing the history of probability, this book examines the classic problems of probability that have shaped the field and emphasizes problems that are counter-intuitive by nature. Classic Problems of Probability is rich in the history of probability while keeping the explanations and discussions as accessible as possible.

Probability Theory Of Classical Euclidean Optimization Problems

Author: Joseph E. Yukich
Publisher: Springer
ISBN: 354069627X
Size: 61.66 MB
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This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.

The Probability That A Numerical Analysis Problem Is Difficult Classic Reprint

Author: James W. Demmel
Publisher: Forgotten Books
ISBN: 9780484032421
Size: 62.93 MB
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Excerpt from The Probability That a Numerical, Analysis Problem Is Difficult The main justification for using a uniform distribution is that it appears to be fair: each problem is as likely as any other. However, it does not appear to apply in many practical cases for a variety of reasons, including the fact that any set of problems which can be represented in a computer is necessarily discrete rather than continuous. We will discuss the validity of our choice of uniform distribution as well as alternatives at length in section 6 below. Finally, given this distribution, we must compute the induced probability distribution of the condition number. It turns out that all the problems we consider here have a common geometric structure which lets us compute the distributions of their condition numbers with a single analysis, which goes as follows. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Probability Workbook

Author: Mary McShane-Vaughn
Publisher: ASQ Quality Press
ISBN: 0873899571
Size: 71.66 MB
Format: PDF, ePub
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The best way to master probability is to work problems—lots of them. Through repeated practice, formerly fuzzy concepts begin to make sense, and solution strategies become clear. The Probability Workbook is a companion to The Probability Handbook, which covers counting techniques, probability rules, discrete probability distributions, and continuous probability distributions. This workbook offers more than 400 problems covering a wide range of probability techniques and distributions. From poker problems, to famous problems by luminaries in the field such as Pascal, Fermat, Bertrand, Fisher, and Deming, this one-of-a-kind book gives detailed numerical solutions and explanations presented in a conversational way. There are general probability questions involving travel itineraries, baseball, and birth orders, as well as more real-world applications such as quality inspection, reliability, statistical process control, and simulation. Problems applicable to the manufacturing, healthcare, business, and hospitality and tourism industries are included. For example, how many ways can the letters Q-U-A-L-I-T-Y be arranged? In poker, how many ways can a player be dealt a royal flush? If 4.5% of a hospital’s admissions are due to community-acquired and records show that the probability that a pneumonia patient is readmitted within 30 days of discharge is 14.6%. The readmission rate for all other diagnoses is 12.1%, what is the probability that a patient is readmitted given that he had pneumonia? For easy reference, each numbered problem in the workbook is categorized by broad topic area, and then by a more detailed, descriptive title. In addition to the topic and title, the level of difficulty is displayed for each problem using a die icon. This workbook is an invaluable resource for the probability portions of ASQ’s CQE, CSSGB, CSSBB, CSSMBB, and CRE exams. For those interested in taking a certification exam, the 50 multiple-choice questions found on the CD-ROM will be a good study resource. The questions draw from topics throughout the text, presented in random order.

The Colossal Book Of Mathematics

Author: Martin Gardner
Publisher: W. W. Norton & Company
ISBN: 9780393020236
Size: 16.67 MB
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The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.

Probability And Measure

Author: Patrick Billingsley
Publisher: John Wiley & Sons
ISBN: 1118341910
Size: 48.48 MB
Format: PDF, Docs
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Praise for the Third Edition "It is, as far as I'm concerned, among the best books in math ever written....if you are a mathematician and want to have the top reference in probability, this is it." (, January 2006) A complete and comprehensive classic in probability and measure theory Probability and Measure, Anniversary Edition by Patrick Billingsley celebrates the achievements and advancements that have made this book a classic in its field for the past 35 years. Now re-issued in a new style and format, but with the reliable content that the third edition was revered for, this Anniversary Edition builds on its strong foundation of measure theory and probability with Billingsley's unique writing style. In recognition of 35 years of publication, impacting tens of thousands of readers, this Anniversary Edition has been completely redesigned in a new, open and user-friendly way in order to appeal to university-level students. This book adds a new foreward by Steve Lally of the Statistics Department at The University of Chicago in order to underscore the many years of successful publication and world-wide popularity and emphasize the educational value of this book. The Anniversary Edition contains features including: An improved treatment of Brownian motion Replacement of queuing theory with ergodic theory Theory and applications used to illustrate real-life situations Over 300 problems with corresponding, intensive notes and solutions Updated bibliography An extensive supplement of additional notes on the problems and chapter commentaries Patrick Billingsley was a first-class, world-renowned authority in probability and measure theory at a leading U.S. institution of higher education. He continued to be an influential probability theorist until his unfortunate death in 2011. Billingsley earned his Bachelor's Degree in Engineering from the U.S. Naval Academy where he served as an officer. he went on to receive his Master's Degree and doctorate in Mathematics from Princeton University.Among his many professional awards was the Mathematical Association of America's Lester R. Ford Award for mathematical exposition. His achievements through his long and esteemed career have solidified Patrick Billingsley's place as a leading authority in the field and been a large reason for his books being regarded as classics. This Anniversary Edition of Probability and Measure offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. Like the previous editions, this Anniversary Edition is a key resource for students of mathematics, statistics, economics, and a wide variety of disciplines that require a solid understanding of probability theory.


Author: Robert P. Dobrow
Publisher: John Wiley & Sons
ISBN: 1118589440
Size: 23.21 MB
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An introduction to probability at the undergraduate level Chance and randomness are encountered on a daily basis. Authored by a highly qualified professor in the field, Probability: With Applications and R delves into the theories and applications essential to obtaining a thorough understanding of probability. With real-life examples and thoughtful exercises from fields as diverse as biology, computer science, cryptology, ecology, public health, and sports, the book is accessible for a variety of readers. The book’s emphasis on simulation through the use of the popular R software language clarifies and illustrates key computational and theoretical results. Probability: With Applications and R helps readers develop problem-solving skills and delivers an appropriate mix of theory and application. The book includes: Chapters covering first principles, conditional probability, independent trials, random variables, discrete distributions, continuous probability, continuous distributions, conditional distribution, and limits An early introduction to random variables and Monte Carlo simulation and an emphasis on conditional probability, conditioning, and developing probabilistic intuition An R tutorial with example script files Many classic and historical problems of probability as well as nontraditional material, such as Benford’s law, power-law distributions, and Bayesian statistics A topics section with suitable material for projects and explorations, such as random walk on graphs, Markov chains, and Markov chain Monte Carlo Chapter-by-chapter summaries and hundreds of practical exercises Probability: With Applications and R is an ideal text for a beginning course in probability at the undergraduate level.

Probability For Statistics And Machine Learning

Author: Anirban DasGupta
Publisher: Springer Science & Business Media
ISBN: 9781441996343
Size: 79.66 MB
Format: PDF
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This book provides a versatile and lucid treatment of classic as well as modern probability theory, while integrating them with core topics in statistical theory and also some key tools in machine learning. It is written in an extremely accessible style, with elaborate motivating discussions and numerous worked out examples and exercises. The book has 20 chapters on a wide range of topics, 423 worked out examples, and 808 exercises. It is unique in its unification of probability and statistics, its coverage and its superb exercise sets, detailed bibliography, and in its substantive treatment of many topics of current importance. This book can be used as a text for a year long graduate course in statistics, computer science, or mathematics, for self-study, and as an invaluable research reference on probabiliity and its applications. Particularly worth mentioning are the treatments of distribution theory, asymptotics, simulation and Markov Chain Monte Carlo, Markov chains and martingales, Gaussian processes, VC theory, probability metrics, large deviations, bootstrap, the EM algorithm, confidence intervals, maximum likelihood and Bayes estimates, exponential families, kernels, and Hilbert spaces, and a self contained complete review of univariate probability.

Mathematics Of Chance

Author: Jirí Andel
Publisher: John Wiley & Sons
ISBN: 0470317914
Size: 68.60 MB
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Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jiri Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems. Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics including: * Random walks * Principle of reflection * Probabilistic aspects of records * Geometric distribution * Optimization * The LAD method, and more Knowledge of the basic elements of calculus will be sufficient in understanding most of the material presented here, and little knowledge of pure statistics is required. Jiri Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.