Business & Economics

One Thousand Exercises in Probability

Author: Geoffrey Grimmett,David Stirzaker

Publisher: Oxford University Press

ISBN: 9780198572213

Category: Business & Economics

Page: 438

View: 1569

The companion volume to Probability and Random Processes, 3rd Edition this book contains 1000+ exercises on the subjects of elelmentary aspects of probability and random variables, sampling, Markov chains, convergence, stationary processes, renewals, queues, Martingales, Diffusion, Mathematical finanace and the Black-Scholes model.
Mathematics

Probability and Random Processes

Author: Geoffrey Grimmett,David Stirzaker

Publisher: Oxford University Press

ISBN: 9780198572220

Category: Mathematics

Page: 596

View: 6333

This textbook provides a wide-ranging and entertaining indroduction to probability and random processes and many of their practical applications. It includes many exercises and problems with solutions.
Mathematics

Exercises in Probability

Author: T. Cacoullos

Publisher: Springer Science & Business Media

ISBN: 1461245265

Category: Mathematics

Page: 248

View: 6801

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.
Mathematics

Classic Problems of Probability

Author: Prakash Gorroochurn

Publisher: John Wiley & Sons

ISBN: 1118314336

Category: Mathematics

Page: 328

View: 7576

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.
Mathematics

40 Puzzles and Problems in Probability and Mathematical Statistics

Author: Wolf Schwarz

Publisher: Springer Science & Business Media

ISBN: 0387735127

Category: Mathematics

Page: 124

View: 9643

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.
Mathematics

Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions

Author: A. A. Sveshnikov

Publisher: Courier Corporation

ISBN: 0486137562

Category: Mathematics

Page: 512

View: 3549

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.
Mathematics

Elementary Probability

Author: David Stirzaker

Publisher: Cambridge University Press

ISBN: 9781139441032

Category: Mathematics

Page: N.A

View: 2164

Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.
Mathematics

Probability Through Problems

Author: Marek Capinski,Tomasz Jerzy Zastawniak

Publisher: Springer Science & Business Media

ISBN: 0387216596

Category: Mathematics

Page: 260

View: 2757

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.
Mathematics

A Modern Introduction to Probability and Statistics

Understanding Why and How

Author: F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester

Publisher: Springer Science & Business Media

ISBN: 1846281687

Category: Mathematics

Page: 488

View: 8706

Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books
Mathematics

MEASURE THEORY AND PROBABILITY

Author: A. K. BASU

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120343859

Category: Mathematics

Page: 240

View: 6532

This compact and well-received book, now in its second edition, is a skilful combination of measure theory and probability. For, in contrast to many books where probability theory is usually developed after a thorough exposure to the theory and techniques of measure and integration, this text develops the Lebesgue theory of measure and integration, using probability theory as the motivating force. What distinguishes the text is the illustration of all theorems by examples and applications. A section on Stieltjes integration assists the student in understanding the later text better. For easy understanding and presentation, this edition has split some long chapters into smaller ones. For example, old Chapter 3 has been split into Chapters 3 and 9, and old Chapter 11 has been split into Chapters 11, 12 and 13. The book is intended for the first-year postgraduate students for their courses in Statistics and Mathematics (pure and applied), computer science, and electrical and industrial engineering. KEY FEATURES : Measure theory and probability are well integrated. Exercises are given at the end of each chapter, with solutions provided separately. A section is devoted to large sample theory of statistics, and another to large deviation theory (in the Appendix).
Science

Probability Theory

The Logic of Science

Author: E. T. Jaynes

Publisher: Cambridge University Press

ISBN: 1139435167

Category: Science

Page: N.A

View: 3990

The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.
Science

Probability 1

Author: Amir D. Aczel, Ph.D.

Publisher: Houghton Mifflin Harcourt

ISBN: 054434166X

Category: Science

Page: 240

View: 9087

For thousands of years, it was the visionaries and writers who argued that we cannot be alone-that there is intellegent life in the universe. Now, with the discoveries of the Hubble Telescope, data emerging from Mars, and knowledge about life at the extremes, scientists are taking up where they left off. Amir Aczel, author of Fermat's Last Theorem, pulls together everyting science has discovered, and mixes in proabability theory, to argure the case for the existence of intelligent life beyond this planet. Probability 1 is an extraordinary tour de force in which the author draws on cosmology, math, and biology to tell the rollicking good story of scientists tackling important scientific questions that help answer this fundamental question. What is the probability of intelligent life in the universe? Read this book, and you'll be convinced, by the power of the argument and the excitement of the science.
Mathematics

A First Course in Probability

Author: Sheldon Ross

Publisher: Pearson

ISBN: 0321926676

Category: Mathematics

Page: N.A

View: 1999

This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. A First Course in Probability, Ninth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.
Mathematics

Probability on Graphs

Random Processes on Graphs and Lattices

Author: Geoffrey Grimmett

Publisher: Cambridge University Press

ISBN: 9780521147354

Category: Mathematics

Page: 260

View: 2040

This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Mathematics

Introduction to Probability

Author: Joseph K. Blitzstein,Jessica Hwang

Publisher: CRC Press

ISBN: 1498759769

Category: Mathematics

Page: 596

View: 7670

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Mathematics

Probability

An Introduction

Author: Geoffrey Grimmett,Dominic Welsh

Publisher: OUP Oxford

ISBN: 0191019933

Category: Mathematics

Page: 288

View: 991

Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is enriched by simple exercises, together with problems (with very brief hints) many of which are taken from final examinations at Cambridge and Oxford. The first eight chapters form a course in basic probability, being an account of events, random variables, and distributions - discrete and continuous random variables are treated separately - together with simple versions of the law of large numbers and the central limit theorem. There is an account of moment generating functions and their applications. The following three chapters are about branching processes, random walks, and continuous-time random processes such as the Poisson process. The final chapter is a fairly extensive account of Markov chains in discrete time. This second edition develops the success of the first edition through an updated presentation, the extensive new chapter on Markov chains, and a number of new sections to ensure comprehensive coverage of the syllabi at major universities.
Mathematics

Basic Stochastic Processes

A Course Through Exercises

Author: Zdzislaw Brzezniak,Tomasz Zastawniak

Publisher: Springer Science & Business Media

ISBN: 1447105338

Category: Mathematics

Page: 226

View: 4718

Stochastic processes are tools used widely by statisticians and researchers working in the mathematics of finance. This book for self-study provides a detailed treatment of conditional expectation and probability, a topic that in principle belongs to probability theory, but is essential as a tool for stochastic processes. The book centers on exercises as the main means of explanation.
Education

Counterexamples in Probability

Third Edition

Author: Jordan M. Stoyanov

Publisher: Courier Corporation

ISBN: 0486499987

Category: Education

Page: 368

View: 2060

"While most mathematical examples illustrate the truth of a statement, counterexamples demonstrate a statement's falsity. Enjoyable topics of study, counterexamples are valuable tools for teaching and learning. The definitive book on the subject in regards to probability, this third edition features the author's revisions and corrections plus a substantial new appendix. 2013 edition"--
Mathematics

Probability Essentials

Author: Jean Jacod,Philip Protter

Publisher: Springer Science & Business Media

ISBN: 3642556825

Category: Mathematics

Page: 254

View: 7690

This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.
Computers

Information Theory, Inference and Learning Algorithms

Author: David J. C. MacKay

Publisher: Cambridge University Press

ISBN: 9780521642989

Category: Computers

Page: 628

View: 5488

Fun and exciting textbook on the mathematics underpinning the most dynamic areas of modern science and engineering.