Problems In Probability

Author : Albert N. Shiryaev
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 49,8 Mb
Release : 2012-08-07
Category : Mathematics
ISBN : 9781461436881

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Problems in Probability by Albert N. Shiryaev Pdf

For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions, in addition to many new exercises. Most of the material in this book consists of exercises created by Shiryaev, collected and compiled over the course of many years while working on many interesting topics. Many of the exercises resulted from discussions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information. Lastly, the author has included an appendix at the end of the book that contains a summary of the main results, notation and terminology from Probability Theory that are used throughout the present book. This Appendix also contains additional material from Combinatorics, Potential Theory and Markov Chains, which is not covered in the book, but is nevertheless needed for many of the exercises included here.

Author : Frederick Mosteller
Publisher : Courier Corporation
Page : 88 pages
File Size : 54,9 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486134963

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Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller Pdf

Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Author : Prakash Gorroochurn
Publisher : John Wiley & Sons
Page : 341 pages
File Size : 49,8 Mb
Release : 2016-05-02
Category : Mathematics
ISBN : 9781118063255

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Classic Problems of Probability by Prakash Gorroochurn Pdf

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.

Author : A. A. Sveshnikov
Publisher : Courier Corporation
Page : 512 pages
File Size : 48,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486137568

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Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by A. A. Sveshnikov Pdf

Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

Author : Marek Capinski,Tomasz Jerzy Zastawniak
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 42,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9780387216591

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Probability Through Problems by Marek Capinski,Tomasz Jerzy Zastawniak Pdf

This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.

Author : Wolf Schwarz
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 46,6 Mb
Release : 2007-11-25
Category : Mathematics
ISBN : 9780387735122

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40 Puzzles and Problems in Probability and Mathematical Statistics by Wolf Schwarz Pdf

This book is based on the view that cognitive skills are best acquired by solving challenging, non-standard probability problems. Many puzzles and problems presented here are either new within a problem solving context (although as topics in fundamental research they are long known) or are variations of classical problems which follow directly from elementary concepts. A small number of particularly instructive problems is taken from previous sources which in this case are generally given. This book will be a handy resource for professors looking for problems to assign, for undergraduate math students, and for a more general audience of amateur scientists.

Author : T. M. Mills
Publisher : World Scientific
Page : 200 pages
File Size : 46,8 Mb
Release : 2001
Category : Mathematics
ISBN : 981024598X

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Problems in Probability by T. M. Mills Pdf

Probability theory is an important part of contemporary mathematics. It plays a key role in the insurance industry, in the modelling of financial markets, and in statistics generally ? including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics). The 20th century has been an important period for the subject, because we have witnessed the development of a solid mathematical basis for the study of probability, especially from the Russian school of probability under the leadership of A N Kolmogorov. We have also seen many new applications of probability ? from applications of stochastic calculus in the financial industry to Internet gambling. At the beginning of the 21st century, the subject offers plenty of scope for theoretical developments, modern applications and computational problems. There is something for everyone in probability The notes and problems in this book have been designed to provide a basis for a series of lectures suitable for advanced undergraduate students on the subject of probability. Through problem solving, students can experience the excitement associated with probability. This activity will help them to develop their problem-solving skills, which are so valuable in today's world. The problems in the book will introduce the student to some famous works and workers in probability and convey the historical, classical and contemporary aspects of probability. A key feature of the book is that many problems are in fact small guided research projects. The research work involved in solving the problems will enhance the student's library research skills.

Author : T M Mills
Publisher : World Scientific Publishing Company
Page : 192 pages
File Size : 55,8 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9789814551472

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Problems in Probability by T M Mills Pdf

This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability. Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general — including all those fields of endeavour to which statistics is applied (e.g. health, physical sciences, engineering, economics, social sciences). Every student majoring in mathematics at university ought to take a course on probability or mathematical statistics. Probability is now a standard part of high school mathematics, and teachers ought to be well versed and confident in the subject. Problem solving is important in mathematics. This book combines problem solving and probability.

Author : L.D. Meshalkin
Publisher : Springer Science & Business Media
Page : 156 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401023580

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Collection of problems in probability theory by L.D. Meshalkin Pdf

The Russian version of A collection of problems in probability theory contains a chapter devoted to statistics. That chapter has been omitted in this translation because, in the opinion of the editor, its content deviates somewhat from that which is suggested by the title: problems in pro bability theory. The original Russian version contains some errors; an attempt was made to correct all errors found, but perhaps a few stiII remain. An index has been added for the convenience of the reader who may be searching for a definition, a classical problem, or whatever. The index lists pages as well as problems where the indexed words appear. The book has been translated and edited with the hope of leaving as much "Russian flavor" in the text and problems as possible. Any pecu liarities present are most likely a result of this intention. August, 1972 Bryan A. Haworth viii Foreword to the Russian edition This Collection of problems in probability theory is primarily intended for university students in physics and mathematics departments. Its goal is to help the student of probability theory to master the theory more pro foundly and to acquaint him with the application of probability theory methods to the solution of practical problems. This collection is geared basically to the third edition of the GNEDENKO textbook Course in proba bility theory, Fizmatgiz, Moscow (1961), Probability theory, Chelsea (1965).

Author : Gunnar Blom,Lars Holst,Dennis Sandell
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 46,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461243045

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Problems and Snapshots from the World of Probability by Gunnar Blom,Lars Holst,Dennis Sandell Pdf

We, the authors of this book, are three ardent devotees of chance, or some what more precisely, of discrete probability. When we were collecting the material, we felt that one special pleasure of the field lay in its evocation of an earlier age: many of our 'probabilistic forefathers' were dexterous solvers of discrete problems. We hope that this pleasure will be transmitted to the readers. The first problem-book of a similar kind as ours is perhaps Mosteller's well-known Fifty Challenging Problems in Probability (1965). Possibly, our book is the second. The book contains 125 problems and snapshots from the world of prob ability. A 'problem' generally leads to a question with a definite answer. A 'snapshot' is either a picture or a bird's-eye view of some probabilistic field. The selection is, of course, highly subjective, and we have not even tried to cover all parts of the subject systematically. Limit theorems appear only seldom, for otherwise the book would have become unduly large. We want to state emphatically that we have not written a textbook in probability, but rather a book for browsing through when occupying an easy-chair. Therefore, ideas and results are often put forth without a machinery of formulas and derivations; the conscientious readers, who want to penetrate the whole clockwork, will soon have to move to their desks and utilize appropriate tools.

Author : T. Cacoullos
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461245261

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Exercises in Probability by T. Cacoullos Pdf

The author, the founder of the Greek Statistical Institute, has based this book on the two volumes of his Greek edition which has been used by over ten thousand students during the past fifteen years. It can serve as a companion text for an introductory or intermediate level probability course. Those will benefit most who have a good grasp of calculus, yet, many others, with less formal mathematical background can also benefit from the large variety of solved problems ranging from classical combinatorial problems to limit theorems and the law of iterated logarithms. It contains 329 problems with solutions as well as an addendum of over 160 exercises and certain complements of theory and problems.

Author : Geoffrey Grimmett,David Stirzaker
Publisher : Oxford University Press
Page : 452 pages
File Size : 47,5 Mb
Release : 2001-05-24
Category : Business & Economics
ISBN : 0198572212

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One Thousand Exercises in Probability by Geoffrey Grimmett,David Stirzaker Pdf

This guide provides a wide-ranging selection of illuminating, informative and entertaining problems, together with their solution. Topics include modelling and many applications of probability theory.

Author : Ivan Moscovich
Publisher : Sterling Publishing Company, Inc.
Page : 132 pages
File Size : 51,9 Mb
Release : 2006
Category : Games & Activities
ISBN : 1402727453

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Peerless Probability Problems and Other Puzzles by Ivan Moscovich Pdf

What makes these puzzles so special? Not only does each one illustrate some of the most classic theories in math, logic, and perception, but they're eye-catching too. Stare at brilliantly hued concentric circles, inspired by the "video active" paintings of the Parisian artist Isia Leviant; if you continue to look long enough, a spinning white blur will appear. Or imagine that you have a drawerful of socks in different colors--7 red, 7 yellow, and 7 green pairs. If you pulled some out in complete darkness, how many would you have to take before you'd be sure of having a pair in each color? Or solve word puzzles, paradoxes, and the mystery of the rolling photo cube.

Author : Ruma Falk,Raphael Falk
Publisher : A K Peters/CRC Press
Page : 264 pages
File Size : 48,8 Mb
Release : 1993-04-15
Category : Mathematics
ISBN : UVA:X002327605

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Understanding Probability and Statistics by Ruma Falk,Raphael Falk Pdf

Author : David Patrick
Publisher : Unknown
Page : 0 pages
File Size : 46,7 Mb
Release : 2007-08
Category : Counting
ISBN : 1934124109

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Introduction to Counting and Probability by David Patrick Pdf