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Author : Sheldon M. Ross
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.3/5 (97 download)
Download or read book A First Course in Probability written by Sheldon M. Ross and published by . This book was released on 2002 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: P. 15.
Author : Werner Linde
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110466198
Total Pages : 410 pages
Book Rating : 4.1/5 (14 download)
Download or read book Probability Theory written by Werner Linde and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-10-24 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to Probability Theory and Mathematical Statistics for students in mathematics, the physical sciences, engineering, and related fields. It is based on the author’s 25 years of experience teaching probability and is squarely aimed at helping students overcome common difficulties in learning the subject. The focus of the book is an explanation of the theory, mainly by the use of many examples. Whenever possible, proofs of stated results are provided. All sections conclude with a short list of problems. The book also includes several optional sections on more advanced topics. This textbook would be ideal for use in a first course in Probability Theory. Contents: Probabilities Conditional Probabilities and Independence Random Variables and Their Distribution Operations on Random Variables Expected Value, Variance, and Covariance Normally Distributed Random Vectors Limit Theorems Mathematical Statistics Appendix Bibliography Index
Author : Yakov G. Sinai
Publisher : Springer Science & Business Media
ISBN 13 : 366202845X
Total Pages : 148 pages
Book Rating : 4.6/5 (62 download)
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.
Author : Kai Lai Chung
Publisher : Academic Press
ISBN 13 : 0080570402
Total Pages : 365 pages
Book Rating : 4.0/5 (85 download)
Download or read book A Course in Probability Theory written by Kai Lai Chung and published by Academic Press. This book was released on 2014-06-28 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains about 500 exercises consisting mostly of special cases and examples, second thoughts and alternative arguments, natural extensions, and some novel departures. With a few obvious exceptions they are neither profound nor trivial, and hints and comments are appended to many of them. If they tend to be somewhat inbred, at least they are relevant to the text and should help in its digestion. As a bold venture I have marked a few of them with a * to indicate a "must", although no rigid standard of selection has been used. Some of these are needed in the book, but in any case the reader's study of the text will be more complete after he has tried at least those problems.
Author : Giuseppe Modica
Publisher : John Wiley & Sons
ISBN 13 : 111847774X
Total Pages : 388 pages
Book Rating : 4.1/5 (184 download)
Download or read book A First Course in Probability and Markov Chains written by Giuseppe Modica and published by John Wiley & Sons. This book was released on 2012-12-10 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an introduction to basic structures of probability with a view towards applications in information technology A First Course in Probability and Markov Chains presents an introduction to the basic elements in probability and focuses on two main areas. The first part explores notions and structures in probability, including combinatorics, probability measures, probability distributions, conditional probability, inclusion-exclusion formulas, random variables, dispersion indexes, independent random variables as well as weak and strong laws of large numbers and central limit theorem. In the second part of the book, focus is given to Discrete Time Discrete Markov Chains which is addressed together with an introduction to Poisson processes and Continuous Time Discrete Markov Chains. This book also looks at making use of measure theory notations that unify all the presentation, in particular avoiding the separate treatment of continuous and discrete distributions. A First Course in Probability and Markov Chains: Presents the basic elements of probability. Explores elementary probability with combinatorics, uniform probability, the inclusion-exclusion principle, independence and convergence of random variables. Features applications of Law of Large Numbers. Introduces Bernoulli and Poisson processes as well as discrete and continuous time Markov Chains with discrete states. Includes illustrations and examples throughout, along with solutions to problems featured in this book. The authors present a unified and comprehensive overview of probability and Markov Chains aimed at educating engineers working with probability and statistics as well as advanced undergraduate students in sciences and engineering with a basic background in mathematical analysis and linear algebra.
Author : B. L. S. Prakasa Rao
Publisher : World Scientific
ISBN 13 : 9812836535
Total Pages : 330 pages
Book Rating : 4.8/5 (128 download)
Download or read book A First Course in Probability and Statistics written by B. L. S. Prakasa Rao and published by World Scientific. This book was released on 2009 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear exposition of the theory of probability along with applications in statistics.
Author : Rabi Bhattacharya
Publisher : Springer
ISBN 13 : 3319479741
Total Pages : 265 pages
Book Rating : 4.3/5 (194 download)
Download or read book A Basic Course in Probability Theory written by Rabi Bhattacharya and published by Springer. This book was released on 2017-02-13 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, the text has been reorganized for didactic purposes, new exercises have been added and basic theory has been expanded. General Markov dependent sequences and their convergence to equilibrium is the subject of an entirely new chapter. The introduction of conditional expectation and conditional probability very early in the text maintains the pedagogic innovation of the first edition; conditional expectation is illustrated in detail in the context of an expanded treatment of martingales, the Markov property, and the strong Markov property. Weak convergence of probabilities on metric spaces and Brownian motion are two topics to highlight. A selection of large deviation and/or concentration inequalities ranging from those of Chebyshev, Cramer–Chernoff, Bahadur–Rao, to Hoeffding have been added, with illustrative comparisons of their use in practice. This also includes a treatment of the Berry–Esseen error estimate in the central limit theorem. The authors assume mathematical maturity at a graduate level; otherwise the book is suitable for students with varying levels of background in analysis and measure theory. For the reader who needs refreshers, theorems from analysis and measure theory used in the main text are provided in comprehensive appendices, along with their proofs, for ease of reference. Rabi Bhattacharya is Professor of Mathematics at the University of Arizona. Edward Waymire is Professor of Mathematics at Oregon State University. Both authors have co-authored numerous books, including a series of four upcoming graduate textbooks in stochastic processes with applications.
Author : Achim Klenke
Publisher : Springer Science & Business Media
ISBN 13 : 1848000480
Total Pages : 621 pages
Book Rating : 4.8/5 (48 download)
Download or read book Probability Theory written by Achim Klenke and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation.
Author : Anirban DasGupta
Publisher : Springer Science & Business Media
ISBN 13 : 1441957804
Total Pages : 457 pages
Book Rating : 4.4/5 (419 download)
Download or read book Fundamentals of Probability: A First Course written by Anirban DasGupta and published by Springer Science & Business Media. This book was released on 2010-04-02 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become increasingly more useful in the twenty-?rst century, as dif?cult new problems emerge, that will require more sophisticated models and analysis. Thisisa text onthe fundamentalsof thetheoryofprobabilityat anundergraduate or ?rst-year graduate level for students in science, engineering,and economics. The only mathematical background required is knowledge of univariate and multiva- ate calculus and basic linear algebra. The book covers all of the standard topics in basic probability, such as combinatorial probability, discrete and continuous distributions, moment generating functions, fundamental probability inequalities, the central limit theorem, and joint and conditional distributions of discrete and continuous random variables. But it also has some unique features and a forwa- looking feel.
Author : Jeffrey Seth Rosenthal
Publisher : World Scientific
ISBN 13 : 9812703705
Total Pages : 238 pages
Book Rating : 4.8/5 (127 download)
Download or read book A First Look at Rigorous Probability Theory written by Jeffrey Seth Rosenthal and published by World Scientific. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features an introduction to probability theory using measure theory. This work provides proofs of the essential introductory results and presents the measure theory and mathematical details in terms of intuitive probabilistic concepts, rather than as separate, imposing subjects.
Author : Robert B. Ash
Publisher : Courier Corporation
ISBN 13 : 0486466280
Total Pages : 354 pages
Book Rating : 4.4/5 (864 download)
Download or read book Basic Probability Theory written by Robert B. Ash and published by Courier Corporation. This book was released on 2008-06-26 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to more advanced courses in probability and real analysis emphasizes the probabilistic way of thinking, rather than measure-theoretic concepts. Geared toward advanced undergraduates and graduate students, its sole prerequisite is calculus. Taking statistics as its major field of application, the text opens with a review of basic concepts, advancing to surveys of random variables, the properties of expectation, conditional probability and expectation, and characteristic functions. Subsequent topics include infinite sequences of random variables, Markov chains, and an introduction to statistics. Complete solutions to some of the problems appear at the end of the book.
Author : Tapas K. Chandra
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652084
Total Pages : 520 pages
Book Rating : 4.6/5 (52 download)
Download or read book A First Course in Probability written by Tapas K. Chandra and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The third edition earmarks the great success of this text among the students as well as the teachers. To enhance its utility one additional appendix on "The Theory of Errors" has been incorporated along with necessary modifications and corrections in the text. The treatment, as before, is rigorous yet impressively elegant and simple. The special feature of this text is its effort to resolve many outstanding confusions of probability and statistics. This will undoubtedly continue to be a valuable companion for all those pursuing a career in Statistics."--BOOK JACKET.
Author : Joseph K. Blitzstein
Publisher : CRC Press
ISBN 13 : 1466575573
Total Pages : 599 pages
Book Rating : 4.4/5 (665 download)
Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Sheldon M. Ross
Publisher : Academic Press
ISBN 13 : 0080922104
Total Pages : 841 pages
Book Rating : 4.0/5 (89 download)
Download or read book Introductory Statistics written by Sheldon M. Ross and published by Academic Press. This book was released on 2010-01-19 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Statistics, Third Edition, presents statistical concepts and techniques in a manner that will teach students not only how and when to utilize the statistical procedures developed, but also to understand why these procedures should be used. This book offers a unique historical perspective, profiling prominent statisticians and historical events in order to motivate learning. To help guide students towards independent learning, exercises and examples using real issues and real data (e.g., stock price models, health issues, gender issues, sports, scientific fraud) are provided. The chapters end with detailed reviews of important concepts and formulas, key terms, and definitions that are useful study tools. Data sets from text and exercise material are available for download in the text website. This text is designed for introductory non-calculus based statistics courses that are offered by mathematics and/or statistics departments to undergraduate students taking a semester course in basic Statistics or a year course in Probability and Statistics. Unique historical perspective profiling prominent statisticians and historical events to motivate learning by providing interest and context Use of exercises and examples helps guide the student towards indpendent learning using real issues and real data, e.g. stock price models, health issues, gender issues, sports, scientific fraud. Summary/Key Terms- chapters end with detailed reviews of important concepts and formulas, key terms and definitions which are useful to students as study tools
Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)
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.
Author : K. L. Chung
Publisher : Springer Science & Business Media
ISBN 13 : 1475739737
Total Pages : 332 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Rabi Bhattacharya
Publisher : Springer Science & Business Media
ISBN 13 : 0387719385
Total Pages : 217 pages
Book Rating : 4.3/5 (877 download)
Download or read book A Basic Course in Probability Theory written by Rabi Bhattacharya and published by Springer Science & Business Media. This book was released on 2007-07-27 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst? There are at least two ways to develop probability theory. The more familiar path is to treat it as its own discipline, and work from intuitive examples such as coin flips and conundrums such as the Monty Hall problem. An alternative is to first develop measure theory and analysis, and then add interpretation. Bhattacharya and Waymire take the second path.
