An Elementary Introduction to the Theory of Probability

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Publisher : Courier Corporation
ISBN 13 : 0486601552
Total Pages : 162 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis An Elementary Introduction to the Theory of Probability by : Boris Vladimirovich Gnedenko

Download or read book An Elementary Introduction to the Theory of Probability written by Boris Vladimirovich Gnedenko and published by Courier Corporation. This book was released on 1962-01-01 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.

An Elementary Introduction to Probability

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Publisher :
ISBN 13 : 9781535465144
Total Pages : 278 pages
Book Rating : 4.4/5 (651 download)

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Book Synopsis An Elementary Introduction to Probability by : Warren Gordon

Download or read book An Elementary Introduction to Probability written by Warren Gordon and published by . This book was released on 2016-07-29 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines both discrete and continuous random variables, assuming a knowledge of one semester of calculus.

Elementary Probability

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Publisher : Cambridge University Press
ISBN 13 : 1139441035
Total Pages : 540 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elementary Probability by : David Stirzaker

Download or read book Elementary Probability written by David Stirzaker and published by Cambridge University Press. This book was released on 2003-08-18 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elementary Probability Theory with Stochastic Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739737
Total Pages : 332 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Elementary Probability Theory with Stochastic Processes by : K. L. Chung

Download or read book Elementary Probability Theory with Stochastic Processes written by K. L. Chung and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an elementary introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, amply motivated, explained and illustrated with a large number of carefully selected samples. The fourth edition adds material related to mathematical finance, as well as expansions on stable laws and martingales.

Elementary Applications of Probability Theory

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Publisher : CRC Press
ISBN 13 : 1351452967
Total Pages : 308 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Elementary Applications of Probability Theory by : Henry C. Tuckwell

Download or read book Elementary Applications of Probability Theory written by Henry C. Tuckwell and published by CRC Press. This book was released on 2018-02-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

An Elementary Introduction to Probability

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Publisher : CreateSpace
ISBN 13 : 9781438221618
Total Pages : 272 pages
Book Rating : 4.2/5 (216 download)

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Book Synopsis An Elementary Introduction to Probability by : Warren B. Gordon

Download or read book An Elementary Introduction to Probability written by Warren B. Gordon and published by CreateSpace. This book was released on 2008-08-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability texts on the market assume the student studying it is a mathematics or science major who has completed three semesters of calculus. However, a large number of students majoring in quantitative disciplines like Economic or Finance that have typically taken one semester of calculus who require a firm introduction to probability theory. It is these students at whom this text is aimed. The first two-thirds of the text deals mostly with discrete distributions; the last third generalizes most of the basic concepts introduced to continuous distributions, including the uniform, exponential and normal distributions, and concludes with the central limit theorem. We have purposely excluded discussions of the gamma, beta and chi square distributions usually considered in a first course. Our goal was to provide students with a strong foundation that will enable them to take courses that have probability as a prerequisite, typically an introduction to financial mathematics.

Introduction to Probability

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Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

An Elementary Introduction to Probability - Second Edition

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Publisher :
ISBN 13 : 9781461076308
Total Pages : 272 pages
Book Rating : 4.0/5 (763 download)

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Book Synopsis An Elementary Introduction to Probability - Second Edition by : Warren Gordon

Download or read book An Elementary Introduction to Probability - Second Edition written by Warren Gordon and published by . This book was released on 2011-04-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary course in probability theory assuming a calculus prerequisite.

Elements of Probability and Statistics

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Publisher : Springer
ISBN 13 : 3319072544
Total Pages : 246 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Elements of Probability and Statistics by : Francesca Biagini

Download or read book Elements of Probability and Statistics written by Francesca Biagini and published by Springer. This book was released on 2016-01-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to elementary probability and to Bayesian statistics using de Finetti's subjectivist approach. One of the features of this approach is that it does not require the introduction of sample space – a non-intrinsic concept that makes the treatment of elementary probability unnecessarily complicate – but introduces as fundamental the concept of random numbers directly related to their interpretation in applications. Events become a particular case of random numbers and probability a particular case of expectation when it is applied to events. The subjective evaluation of expectation and of conditional expectation is based on an economic choice of an acceptable bet or penalty. The properties of expectation and conditional expectation are derived by applying a coherence criterion that the evaluation has to follow. The book is suitable for all introductory courses in probability and statistics for students in Mathematics, Informatics, Engineering, and Physics.

An Elementary Introduction to Mathematical Finance

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Publisher : Cambridge University Press
ISBN 13 : 1139498037
Total Pages : 323 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis An Elementary Introduction to Mathematical Finance by : Sheldon M. Ross

Download or read book An Elementary Introduction to Mathematical Finance written by Sheldon M. Ross and published by Cambridge University Press. This book was released on 2011-02-28 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.

Elementary Probability Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461517532
Total Pages : 310 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Elementary Probability Theory by : Melvin Hausner

Download or read book Elementary Probability Theory written by Melvin Hausner and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains ample material for a one term precalculus introduction to probability theory. lt can be used by itself as an elementary introduc tion to probability, or as the probability half of a one-year probability statistics course. Although the development of the subject is rigorous, experimental motivation is maintained throughout the text. Also, statistical and practical applications are given throughout. The core of the text consists of the unstarred sections, most of chapters 1-3 and 5-7. Included are finite probability spaces, com binatorics, set theory, independence and conditional probability, random variables, Chebyshev's theorem, the law of large numbers, the binomial distribution, the normal distribution and the normal approxi mation to the binomial distribution. The starred sections include limiting and infinite processes, a mathematical discussion of symmetry, and game theory. These sections are indicated with an*, and are optional and sometimes more difficult. I have, in most places throughout the text, given decimal equivalents to fractional answers. Thus, while the mathematician finds the answer p = 17/143 satisfactory, the scientist is best appeased by the decimal approximation p = 0.119. A decimal answer gives a ready way of find ing the correct order of magnitude and of comparing probabilities.

An Elementary Introduction to Statistical Learning Theory

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Publisher : John Wiley & Sons
ISBN 13 : 1118023463
Total Pages : 267 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis An Elementary Introduction to Statistical Learning Theory by : Sanjeev Kulkarni

Download or read book An Elementary Introduction to Statistical Learning Theory written by Sanjeev Kulkarni and published by John Wiley & Sons. This book was released on 2011-06-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thought-provoking look at statistical learning theory and its role in understanding human learning and inductive reasoning A joint endeavor from leading researchers in the fields of philosophy and electrical engineering, An Elementary Introduction to Statistical Learning Theory is a comprehensive and accessible primer on the rapidly evolving fields of statistical pattern recognition and statistical learning theory. Explaining these areas at a level and in a way that is not often found in other books on the topic, the authors present the basic theory behind contemporary machine learning and uniquely utilize its foundations as a framework for philosophical thinking about inductive inference. Promoting the fundamental goal of statistical learning, knowing what is achievable and what is not, this book demonstrates the value of a systematic methodology when used along with the needed techniques for evaluating the performance of a learning system. First, an introduction to machine learning is presented that includes brief discussions of applications such as image recognition, speech recognition, medical diagnostics, and statistical arbitrage. To enhance accessibility, two chapters on relevant aspects of probability theory are provided. Subsequent chapters feature coverage of topics such as the pattern recognition problem, optimal Bayes decision rule, the nearest neighbor rule, kernel rules, neural networks, support vector machines, and boosting. Appendices throughout the book explore the relationship between the discussed material and related topics from mathematics, philosophy, psychology, and statistics, drawing insightful connections between problems in these areas and statistical learning theory. All chapters conclude with a summary section, a set of practice questions, and a reference sections that supplies historical notes and additional resources for further study. An Elementary Introduction to Statistical Learning Theory is an excellent book for courses on statistical learning theory, pattern recognition, and machine learning at the upper-undergraduate and graduate levels. It also serves as an introductory reference for researchers and practitioners in the fields of engineering, computer science, philosophy, and cognitive science that would like to further their knowledge of the topic.

An Elementary Introduction to the Theory of Probability

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Publisher :
ISBN 13 :
Total Pages : 137 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis An Elementary Introduction to the Theory of Probability by : Boris Vladimirovič Gnedenko

Download or read book An Elementary Introduction to the Theory of Probability written by Boris Vladimirovič Gnedenko and published by . This book was released on 1961 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Probability for Applications

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Publisher : Cambridge University Press
ISBN 13 : 1139480731
Total Pages : 255 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Elementary Probability for Applications by : Rick Durrett

Download or read book Elementary Probability for Applications written by Rick Durrett and published by Cambridge University Press. This book was released on 2009-07-31 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.

Mathematical Statistics with Resampling and R

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Publisher : John Wiley & Sons
ISBN 13 : 1119416523
Total Pages : 560 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Statistics with Resampling and R by : Laura M. Chihara

Download or read book Mathematical Statistics with Resampling and R written by Laura M. Chihara and published by John Wiley & Sons. This book was released on 2018-09-17 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thoroughly updated second edition combines the latest software applications with the benefits of modern resampling techniques Resampling helps students understand the meaning of sampling distributions, sampling variability, P-values, hypothesis tests, and confidence intervals. The second edition of Mathematical Statistics with Resampling and R combines modern resampling techniques and mathematical statistics. This book has been classroom-tested to ensure an accessible presentation, uses the powerful and flexible computer language R for data analysis and explores the benefits of modern resampling techniques. This book offers an introduction to permutation tests and bootstrap methods that can serve to motivate classical inference methods. The book strikes a balance between theory, computing, and applications, and the new edition explores additional topics including consulting, paired t test, ANOVA and Google Interview Questions. Throughout the book, new and updated case studies are included representing a diverse range of subjects such as flight delays, birth weights of babies, and telephone company repair times. These illustrate the relevance of the real-world applications of the material. This new edition: • Puts the focus on statistical consulting that emphasizes giving a client an understanding of data and goes beyond typical expectations • Presents new material on topics such as the paired t test, Fisher's Exact Test and the EM algorithm • Offers a new section on "Google Interview Questions" that illustrates statistical thinking • Provides a new chapter on ANOVA • Contains more exercises and updated case studies, data sets, and R code Written for undergraduate students in a mathematical statistics course as well as practitioners and researchers, the second edition of Mathematical Statistics with Resampling and R presents a revised and updated guide for applying the most current resampling techniques to mathematical statistics.

Radically Elementary Probability Theory. (AM-117), Volume 117

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Publisher : Princeton University Press
ISBN 13 : 1400882141
Total Pages : 107 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Radically Elementary Probability Theory. (AM-117), Volume 117 by : Edward Nelson

Download or read book Radically Elementary Probability Theory. (AM-117), Volume 117 written by Edward Nelson and published by Princeton University Press. This book was released on 2016-03-02 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.

Knowing the Odds

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Publisher : American Mathematical Society
ISBN 13 : 1470473879
Total Pages : 439 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Knowing the Odds by : John B. Walsh

Download or read book Knowing the Odds written by John B. Walsh and published by American Mathematical Society. This book was released on 2023-08-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Walsh, one of the great masters of the subject, has written a superb book on probability. It covers at a leisurely pace all the important topics that students need to know, and provides excellent examples. I regret his book was not available when I taught such a course myself, a few years ago. —Ioannis Karatzas, Columbia University In this wonderful book, John Walsh presents a panoramic view of Probability Theory, starting from basic facts on mean, median and mode, continuing with an excellent account of Markov chains and martingales, and culminating with Brownian motion. Throughout, the author's personal style is apparent; he manages to combine rigor with an emphasis on the key ideas so the reader never loses sight of the forest by being surrounded by too many trees. As noted in the preface, “To teach a course with pleasure, one should learn at the same time.” Indeed, almost all instructors will learn something new from the book (e.g. the potential-theoretic proof of Skorokhod embedding) and at the same time, it is attractive and approachable for students. —Yuval Peres, Microsoft With many examples in each section that enhance the presentation, this book is a welcome addition to the collection of books that serve the needs of advanced undergraduate as well as first year graduate students. The pace is leisurely which makes it more attractive as a text. —Srinivasa Varadhan, Courant Institute, New York This book covers in a leisurely manner all the standard material that one would want in a full year probability course with a slant towards applications in financial analysis at the graduate or senior undergraduate honors level. It contains a fair amount of measure theory and real analysis built in but it introduces sigma-fields, measure theory, and expectation in an especially elementary and intuitive way. A large variety of examples and exercises in each chapter enrich the presentation in the text.