An Elementary Introduction To The Theory Of Probability

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An Elementary Introduction to the Theory of Probability

Author : Boris Vladimirovich Gnedenko
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 the Theory of Probability

Author : Boris Vladimirovič Gnedenko
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:

An Elementary Introduction to the Theory of Probability

Author : B. Gnedenko
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (143 download)

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Book Synopsis An Elementary Introduction to the Theory of Probability by : B. Gnedenko

Download or read book An Elementary Introduction to the Theory of Probability written by B. Gnedenko and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Applications of Probability Theory

Author : Henry C. Tuckwell
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.

Elementary Probability Theory with Stochastic Processes

Author : K. L. Chung
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 Probability

Author : David Stirzaker
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.

An Elementary Introduction to Statistical Learning Theory

Author : Sanjeev Kulkarni
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.

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

Author : Edward Nelson
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.

Probability Theory

Author : Yakov G. Sinai
Publisher : Springer Science & Business Media
ISBN 13 : 366202845X
Total Pages : 148 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Probability Theory by : Yakov G. Sinai

Download or read book Probability Theory written by Yakov G. Sinai and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.

Introduction to Probability

Author : David F. Anderson
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

Author : Warren B. Gordon
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.

Elementary Applications of Probability Theory

Author : Henry C. Tuckwell
Publisher : Routledge
ISBN 13 : 1351452959
Total Pages : 200 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 Routledge. This book was released on 2018-02-06 with total page 200 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 Introduction to the Theory of Probability

Author : Parimal Mukhopadhyay
Publisher : World Scientific
ISBN 13 : 9814313424
Total Pages : 493 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis An Introduction to the Theory of Probability by : Parimal Mukhopadhyay

Download or read book An Introduction to the Theory of Probability written by Parimal Mukhopadhyay and published by World Scientific. This book was released on 2012 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Theory of Probability is a major tool that can be used to explain and understand the various phenomena in different natural, physical and social sciences. This book provides a systematic exposition of the theory in a setting which contains a balanced mixture of the classical approach and the modern day axiomatic approach. After reviewing the basis of the theory, the book considers univariate distributions, bivariate normal distribution, multinomial distribution and convergence of random variables. Difficult ideas have been explained lucidly and have been augmented with explanatory notes, examples and exercises. The basic requirement for reading this book is simply a knowledge of mathematics at graduate level. This book tries to explain the difficult ideas in the axiomatic approach to the theory of probability in a clear and comprehensible manner. It includes several unusual distributions including the power series distribution that have been covered in great detail. Readers will find many worked-out examples and exercises with hints, which will make the book easily readable and engaging. The author is a former Professor of the Indian Statistical Institute, India.

An Introduction to Probability Theory

Author : K. Itô
Publisher : Cambridge University Press
ISBN 13 : 9780521269605
Total Pages : 228 pages
Book Rating : 4.2/5 (696 download)

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Book Synopsis An Introduction to Probability Theory by : K. Itô

Download or read book An Introduction to Probability Theory written by K. Itô and published by Cambridge University Press. This book was released on 1984-09-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most distinguished probability theorists in the world rigorously explains the basic probabilistic concepts while fostering an intuitive understanding of random phenomena.

Elementary Probability Theory

Author : Kai Lai Chung
Publisher : Springer Science & Business Media
ISBN 13 : 0387215484
Total Pages : 411 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Elementary Probability Theory by : Kai Lai Chung

Download or read book Elementary Probability Theory written by Kai Lai Chung and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to probability theory and its applications. The emphasis is on essential probabilistic reasoning, which is illustrated with a large number of samples. The fourth edition adds material related to mathematical finance as well as expansions on stable laws and martingales. From the reviews: "Almost thirty years after its first edition, this charming book continues to be an excellent text for teaching and for self study." -- STATISTICAL PAPERS

Elementary Decision Theory

Author : Herman Chernoff
Publisher : Courier Corporation
ISBN 13 : 9780486652184
Total Pages : 386 pages
Book Rating : 4.6/5 (521 download)

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Book Synopsis Elementary Decision Theory by : Herman Chernoff

Download or read book Elementary Decision Theory written by Herman Chernoff and published by Courier Corporation. This book was released on 1986-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-respected introduction to statistics and statistical theory covers data processing, probability and random variables, utility and descriptive statistics, computation of Bayes strategies, models, testing hypotheses, and much more. 1959 edition.

Introduction to the Theory of Random Processes

Author : Iosif Il?ich Gikhman
Publisher : Courier Corporation
ISBN 13 : 0486693872
Total Pages : 537 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Introduction to the Theory of Random Processes by : Iosif Il?ich Gikhman

Download or read book Introduction to the Theory of Random Processes written by Iosif Il?ich Gikhman and published by Courier Corporation. This book was released on 1996-01-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rigorous exposition suitable for elementary instruction. Covers measure theory, axiomatization of probability theory, processes with independent increments, Markov processes and limit theorems for random processes, more. A wealth of results, ideas, and techniques distinguish this text. Introduction. Bibliography. 1969 edition.