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Applied Probability Theory
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Book Synopsis Applied Probability by : Kenneth Lange
Download or read book Applied Probability written by Kenneth Lange and published by Springer Science & Business Media. This book was released on 2008-01-17 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the fears of university mathematics departments, mathematics educat,ion is growing rather than declining. But the truth of the matter is that the increases are occurring outside departments of mathematics. Engineers, computer scientists, physicists, chemists, economists, statis- cians, biologists, and even philosophers teach and learn a great deal of mathematics. The teaching is not always terribly rigorous, but it tends to be better motivated and better adapted to the needs of students. In my own experience teaching students of biostatistics and mathematical bi- ogy, I attempt to convey both the beauty and utility of probability. This is a tall order, partially because probability theory has its own vocabulary and habits of thought. The axiomatic presentation of advanced probability typically proceeds via measure theory. This approach has the advantage of rigor, but it inwitably misses most of the interesting applications, and many applied scientists rebel against the onslaught of technicalities. In the current book, I endeavor to achieve a balance between theory and app- cations in a rather short compass. While the combination of brevity apd balance sacrifices many of the proofs of a rigorous course, it is still cons- tent with supplying students with many of the relevant theoretical tools. In my opinion, it better to present the mathematical facts without proof rather than omit them altogether.
Book Synopsis Fundamentals of Applied Probability Theory by : Alvin W. Drake
Download or read book Fundamentals of Applied Probability Theory written by Alvin W. Drake and published by . This book was released on 1988 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Applied Probability and Random Processes by : Oliver Ibe
Download or read book Fundamentals of Applied Probability and Random Processes written by Oliver Ibe and published by Academic Press. This book was released on 2014-06-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).
Book Synopsis Applied Probability and Statistics by : Mario Lefebvre
Download or read book Applied Probability and Statistics written by Mario Lefebvre and published by Springer Science & Business Media. This book was released on 2007-04-03 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book moves systematically through the topic of applied probability from an introductory chapter to such topics as random variables and vectors, stochastic processes, estimation, testing and regression. The topics are well chosen and the presentation is enriched by many examples from real life. Each chapter concludes with many original, solved and unsolved problems and hundreds of multiple choice questions, enabling those unfamiliar with the topics to master them. Additionally appealing are historical notes on the mathematicians mentioned throughout, and a useful bibliography. A distinguishing character of the book is its thorough and succinct handling of the varied topics.
Book Synopsis Recent Advances in Applied Probability by : Ricardo Baeza-Yates
Download or read book Recent Advances in Applied Probability written by Ricardo Baeza-Yates and published by Springer Science & Business Media. This book was released on 2006-02-28 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied probability is a broad research area that is of interest to scientists in diverse disciplines in science and technology, including: anthropology, biology, communication theory, economics, epidemiology, finance, geography, linguistics, medicine, meteorology, operations research, psychology, quality control, sociology, and statistics. Recent Advances in Applied Probability is a collection of survey articles that bring together the work of leading researchers in applied probability to present current research advances in this important area. This volume will be of interest to graduate students and researchers whose research is closely connected to probability modelling and their applications. It is suitable for one semester graduate level research seminar in applied probability.
Book Synopsis Applied Probability Models with Optimization Applications by : Sheldon M. Ross
Download or read book Applied Probability Models with Optimization Applications written by Sheldon M. Ross and published by Courier Corporation. This book was released on 2013-04-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise advanced-level introduction to stochastic processes that arise in applied probability. Poisson process, renewal theory, Markov chains, Brownian motion, much more. Problems. References. Bibliography. 1970 edition.
Book Synopsis Basic Principles and Applications of Probability Theory by : Valeriy Skorokhod
Download or read book Basic Principles and Applications of Probability Theory written by Valeriy Skorokhod and published by Springer Science & Business Media. This book was released on 2004-10-12 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to modern probability theory written by one of the famous experts in this area. Readers will learn about the basic concepts of probability and its applications, preparing them for more advanced and specialized works.
Book Synopsis An Introduction to Applied Probability by : Ian F. Blake
Download or read book An Introduction to Applied Probability written by Ian F. Blake and published by . This book was released on 1987 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a curriculum that contains only 2 single one-semester course on probability. Covers the core of probability theory, considers sums of random variables, derives sampling distributions, and discusses the approximation of distributions. Includes nonstatistical and statistical applications such as hypothesis testing, confidence intervals, and regression analysis. Numerous worked examples throughout the text illustrate the material and each chapter concludes with a number of problems.
Book Synopsis Advanced Probability Theory, Second Edition, by : Janos Galambos
Download or read book Advanced Probability Theory, Second Edition, written by Janos Galambos and published by CRC Press. This book was released on 2023-07-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work thoroughly covers the concepts and main results of probability theory, from its fundamental principles to advanced applications. This edition provides examples early in the text of practical problems such as the safety of a piece of engineering equipment or the inevitability of wrong conclusions in seemingly accurate medical tests for AIDS and cancer.
Book Synopsis Concepts of Probability Theory by : Paul E. Pfeiffer
Download or read book Concepts of Probability Theory written by Paul E. Pfeiffer and published by Courier Corporation. This book was released on 2013-05-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.
Book Synopsis Stochastic Ordering and Dependence in Applied Probability by : R. Szekli
Download or read book Stochastic Ordering and Dependence in Applied Probability written by R. Szekli and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductionary course in stochastic ordering and dependence in the field of applied probability for readers with some background in mathematics. It is based on lectures and senlinars I have been giving for students at Mathematical Institute of Wroclaw University, and on a graduate course a.t Industrial Engineering Department of Texas A&M University, College Station, and addressed to a reader willing to use for example Lebesgue measure, conditional expectations with respect to sigma fields, martingales, or compensators as a common language in this field. In Chapter 1 a selection of one dimensional orderings is presented together with applications in the theory of queues, some parts of this selection are based on the recent literature (not older than five years). In Chapter 2 the material is centered around the strong stochastic ordering in many dimen sional spaces and functional spaces. Necessary facts about conditioning, Markov processes an"d point processes are introduced together with some classical results such as the product formula and Poissonian departure theorem for Jackson networks, or monotonicity results for some re newal processes, then results on stochastic ordering of networks, re~~ment policies and single server queues connected with Markov renewal processes are given. Chapter 3 is devoted to dependence and relations between dependence and ordering, exem plified by results on queueing networks and point processes among others.
Book Synopsis The Theory of Probability by : Santosh S. Venkatesh
Download or read book The Theory of Probability written by Santosh S. Venkatesh and published by Cambridge University Press. This book was released on 2013 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: From classical foundations to modern theory, this comprehensive guide to probability interweaves mathematical proofs, historical context and detailed illustrative applications.
Book Synopsis Probability Theory by : Alexandr A. Borovkov
Download or read book Probability Theory written by Alexandr A. Borovkov and published by Springer Science & Business Media. This book was released on 2013-06-22 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained, comprehensive book tackles the principal problems and advanced questions of probability theory and random processes in 22 chapters, presented in a logical order but also suitable for dipping into. They include both classical and more recent results, such as large deviations theory, factorization identities, information theory, stochastic recursive sequences. The book is further distinguished by the inclusion of clear and illustrative proofs of the fundamental results that comprise many methodological improvements aimed at simplifying the arguments and making them more transparent. The importance of the Russian school in the development of probability theory has long been recognized. This book is the translation of the fifth edition of the highly successful Russian textbook. This edition includes a number of new sections, such as a new chapter on large deviation theory for random walks, which are of both theoretical and applied interest. The frequent references to Russian literature throughout this work lend a fresh dimension and make it an invaluable source of reference for Western researchers and advanced students in probability related subjects. Probability Theory will be of interest to both advanced undergraduate and graduate students studying probability theory and its applications. It can serve as a basis for several one-semester courses on probability theory and random processes as well as self-study.
Book Synopsis Matrix-Exponential Distributions in Applied Probability by : Mogens Bladt
Download or read book Matrix-Exponential Distributions in Applied Probability written by Mogens Bladt and published by Springer. This book was released on 2017-05-18 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an in-depth treatment of matrix-exponential (ME) distributions and their sub-class of phase-type (PH) distributions. Loosely speaking, an ME distribution is obtained through replacing the intensity parameter in an exponential distribution by a matrix. The ME distributions can also be identified as the class of non-negative distributions with rational Laplace transforms. If the matrix has the structure of a sub-intensity matrix for a Markov jump process we obtain a PH distribution which allows for nice probabilistic interpretations facilitating the derivation of exact solutions and closed form formulas. The full potential of ME and PH unfolds in their use in stochastic modelling. Several chapters on generic applications, like renewal theory, random walks and regenerative processes, are included together with some specific examples from queueing theory and insurance risk. We emphasize our intention towards applications by including an extensive treatment on statistical methods for PH distributions and related processes that will allow practitioners to calibrate models to real data. Aimed as a textbook for graduate students in applied probability and statistics, the book provides all the necessary background on Poisson processes, Markov chains, jump processes, martingales and re-generative methods. It is our hope that the provided background may encourage researchers and practitioners from other fields, like biology, genetics and medicine, who wish to become acquainted with the matrix-exponential method and its applications.
Book Synopsis Applied Probability Models by : Do Le Minh
Download or read book Applied Probability Models written by Do Le Minh and published by Brooks/Cole. This book was released on 2001 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a course in Probability Models at the undergraduate or graduate level, this book is designed for those who will actually use probability and is designed to fit diverse audiences (business students, applied engineering students, and biology students). The course focuses on applications of probability through the presentation of models rather than theory alone. In this practical and interesting book, author Do Le (Paul) Minh provides accessible coverage for a course in probability models. Minh motivates the material with interesting application problems relating to medicine, business, and engineering, many of which are based on real studies and applications. Throughout the book, he thoughtfully integrates the use of computers and spreadsheets to solve problems.
Book Synopsis Applied Probability by : Arnold Barnett
Download or read book Applied Probability written by Arnold Barnett and published by . This book was released on 2015 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probability and Mathematical Statistics: Theory, Applications, and Practice in R by : Mary C. Meyer
Download or read book Probability and Mathematical Statistics: Theory, Applications, and Practice in R written by Mary C. Meyer and published by SIAM. This book was released on 2019-06-24 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of probability and mathematical statistics with the goal of analyzing real-world data. Throughout the text, the R package is used to compute probabilities, check analytically computed answers, simulate probability distributions, illustrate answers with appropriate graphics, and help students develop intuition surrounding probability and statistics. Examples, demonstrations, and exercises in the R programming language serve to reinforce ideas and facilitate understanding and confidence. The book’s Chapter Highlights provide a summary of key concepts, while the examples utilizing R within the chapters are instructive and practical. Exercises that focus on real-world applications without sacrificing mathematical rigor are included, along with more than 200 figures that help clarify both concepts and applications. In addition, the book features two helpful appendices: annotated solutions to 700 exercises and a Review of Useful Math. Written for use in applied masters classes, Probability and Mathematical Statistics: Theory, Applications, and Practice in R is also suitable for advanced undergraduates and for self-study by applied mathematicians and statisticians and qualitatively inclined engineers and scientists.
