Introduction To Probability Models Ise
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| Author | : Sheldon M. Ross |
| Publisher | : Academic Press |
| Total Pages | : 801 |
| Release | : 2006-11-17 |
| Genre | : Mathematics |
| ISBN | : 0080920179 |
Ross's classic bestseller, Introduction to Probability Models, has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. It provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries. A new section (3.7) on COMPOUND RANDOM VARIABLES, that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions. A new section (4.11) on HIDDDEN MARKOV CHAINS, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states. Simplified Approach for Analyzing Nonhomogeneous Poisson processes Additional results on queues relating to the (a) conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; (b) inspection paradox for M/M/1 queues (c) M/G/1 queue with server breakdown Many new examples and exercises.
| Author | : Sheldon M. Ross |
| Publisher | : Academic Press |
| Total Pages | : 59 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0123814367 |
Introduction to Probability Models, Student Solutions Manual (e-only)
| Author | : Sheldon M. Ross |
| Publisher | : Academic Press |
| Total Pages | : 844 |
| Release | : 2019-03-09 |
| Genre | : Mathematics |
| ISBN | : 0128143479 |
Introduction to Probability Models, Twelfth Edition, is the latest version of Sheldon Ross's classic bestseller. This trusted book introduces the reader to elementary probability modelling and stochastic processes and shows how probability theory can be applied in fields such as engineering, computer science, management science, the physical and social sciences and operations research. The hallmark features of this text have been retained in this edition, including a superior writing style and excellent exercises and examples covering the wide breadth of coverage of probability topics. In addition, many real-world applications in engineering, science, business and economics are included. - Winner of a 2020 Textbook Excellence Award (College) (Texty) from the Textbook and Academic Authors Association - Retains the valuable organization and trusted coverage that students and professors have relied on since 1972 - Includes new coverage on coupling methods, renewal theory, queueing theory, and a new derivation of Poisson process - Offers updated examples and exercises throughout, along with required material for Exam 3 of the Society of Actuaries
| Author | : Sheldon M. Ross |
| Publisher | : Academic Press |
| Total Pages | : 785 |
| Release | : 2014-01-08 |
| Genre | : Mathematics |
| ISBN | : 0124081215 |
Introduction to Probability Models, Eleventh Edition is the latest version of Sheldon Ross's classic bestseller, used extensively by professionals and as the primary text for a first undergraduate course in applied probability. The book introduces the reader to elementary probability theory and stochastic processes, and shows how probability theory can be applied fields such as engineering, computer science, management science, the physical and social sciences, and operations research. The hallmark features of this text have been retained in this eleventh edition: superior writing style; excellent exercises and examples covering the wide breadth of coverage of probability topic; and real-world applications in engineering, science, business and economics. The 65% new chapter material includes coverage of finite capacity queues, insurance risk models, and Markov chains, as well as updated data. The book contains compulsory material for new Exam 3 of the Society of Actuaries including several sections in the new exams. It also presents new applications of probability models in biology and new material on Point Processes, including the Hawkes process. There is a list of commonly used notations and equations, along with an instructor's solutions manual. This text will be a helpful resource for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability. - Updated data, and a list of commonly used notations and equations, instructor's solutions manual - Offers new applications of probability models in biology and new material on Point Processes, including the Hawkes process - Introduces elementary probability theory and stochastic processes, and shows how probability theory can be applied in fields such as engineering, computer science, management science, the physical and social sciences, and operations research - Covers finite capacity queues, insurance risk models, and Markov chains - Contains compulsory material for new Exam 3 of the Society of Actuaries including several sections in the new exams - Appropriate for a full year course, this book is written under the assumption that students are familiar with calculus
| Author | : Hans J. Weber |
| Publisher | : Academic Press |
| Total Pages | : 960 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0120598779 |
This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.
| Author | : Sheldon M. Ross |
| Publisher | : Academic Press |
| Total Pages | : 801 |
| Release | : 2006-12-11 |
| Genre | : Mathematics |
| ISBN | : 0123756871 |
Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes. There are two approaches to the study of probability theory. One is heuristic and nonrigorous, and attempts to develop in students an intuitive feel for the subject that enables him or her to think probabilistically. The other approach attempts a rigorous development of probability by using the tools of measure theory. The first approach is employed in this text. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation. This is followed by discussions of stochastic processes, including Markov chains and Poison processes. The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. Many examples are worked out throughout the text, along with exercises to be solved by students. This book will be particularly useful to those interested in learning how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. Ideally, this text would be used in a one-year course in probability models, or a one-semester course in introductory probability theory or a course in elementary stochastic processes. New to this Edition: - 65% new chapter material including coverage of finite capacity queues, insurance risk models and Markov chains - Contains compulsory material for new Exam 3 of the Society of Actuaries containing several sections in the new exams - Updated data, and a list of commonly used notations and equations, a robust ancillary package, including a ISM, SSM, and test bank - Includes SPSS PASW Modeler and SAS JMP software packages which are widely used in the field Hallmark features: - Superior writing style - Excellent exercises and examples covering the wide breadth of coverage of probability topics - Real-world applications in engineering, science, business and economics
| Author | : Sheldon M. Ross |
| Publisher | : |
| Total Pages | : 321 |
| Release | : 2003 |
| Genre | : Probabilities |
| ISBN | : 9780125980562 |
Introduction to Probability Models, 8th Edition, continues to introduce and inspire readers to the art of applying probability theory to phenomena in fields such as engineering, computer science, management and actuarial science, the physical and social sciences, and operations research. Now revised and updated, this best-selling book retains its hallmark intuitive, lively writing style, captivating introduction to applications from diverse disciplines, and plentiful exercises and worked-out examples. The 8th Edition includes five new sections and numerous new examples and exercises, many of which focus on strategies applicable in risk industries such as insurance or actuarial work. The five new sections include: * Section 3.6.4 presents an elementary approach, using only conditional expectation, for computing the expected time until a sequence of independent and identically distributed random variables produce a specified pattern. * Section 3.6.5 derives an identity involving compound Poisson random variables and then uses it to obtain an elegant recursive formula for the probabilities of compound Poisson random variables whose incremental increases are nonnegative and integer valued * Section 5.4.3 is concerned with a conditional Poisson process, a type of process that is widely applicable in the risk industries * Section 7.10 presents a derivation of and a new characterization for the classical insurance ruin probability. * Section 11.8 presents a simulation procedure known as coupling from the past; its use enables one to exactly generate the value of a random variable whose distribution is that of the stationary distribution of a given Markov chain, evenin cases where the stationary distribution cannot itself be explicitly determined. Other Academic Press books by Sheldon Ross: Simulation 3rd Ed., ISBN: 0-12-598053-1 Probability Models for Computer Science, ISBN 0-12-598051-5 Introduction to Probability and Statistics for Engineers and Scientists, 2nd Ed., ISBN: 0-12-598472-3 * Classic text by best-selling author * Continues the tradition of expository excellence * Contains compulsory material for Exam 3 of the Society of Actuaries
| Author | : Sheldon M. Ross |
| Publisher | : Elsevier |
| Total Pages | : 801 |
| Release | : 2007 |
| Genre | : Probabilities |
| ISBN | : 0123736358 |
Rosss classic bestseller has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.
| Author | : Ed Bowker Staff |
| Publisher | : R. R. Bowker |
| Total Pages | : 3274 |
| Release | : 2004 |
| Genre | : Reference |
| ISBN | : 9780835246422 |
| Author | : Larry Wasserman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 446 |
| Release | : 2013-12-11 |
| Genre | : Mathematics |
| ISBN | : 0387217363 |
Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.
