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Probability Models


Probability Models
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Introduction To Probability Models


Introduction To Probability Models
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Author : Sheldon M. Ross
language : en
Publisher: Elsevier
Release Date : 2006-11-21

Introduction To Probability Models written by Sheldon M. Ross and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-21 with Mathematics categories.


Introduction to Probability Models, Ninth Edition, is the primary text for a first undergraduate course in applied probability. This updated edition of Ross's classic bestseller 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. This book now contains a new section 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 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; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries. This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability. 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 processesAdditional 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 breakdownMany new examples and exercises.



Probability Models And Applications Revised Second Edition


Probability Models And Applications Revised Second Edition
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Author : Ingram Olkin
language : en
Publisher: World Scientific
Release Date : 2019-09-03

Probability Models And Applications Revised Second Edition written by Ingram Olkin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-03 with Mathematics categories.


Written by renowned experts in the field, this reissue of a textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data that will prepare them for subsequent studies of statistics, as well as a solid grounding in concepts such as that of conditional probability that will prepare them for more advanced courses in stochastic processes.



Probability Models And Applications


Probability Models And Applications
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Author : Ingram Olkin
language : en
Publisher: MacMillan Publishing Company
Release Date : 1980

Probability Models And Applications written by Ingram Olkin and has been published by MacMillan Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.




Introduction To Probability Models Ise


Introduction To Probability Models Ise
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Author : Sheldon M. Ross
language : en
Publisher: Academic Press
Release Date : 2006-11-17

Introduction To Probability Models Ise written by Sheldon M. Ross and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Mathematics categories.


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.



Introduction To Probability


Introduction To Probability
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Author : Narayanaswamy Balakrishnan
language : en
Publisher: John Wiley & Sons
Release Date : 2019-04-04

Introduction To Probability written by Narayanaswamy Balakrishnan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-04 with Mathematics categories.


An essential guide to the concepts of probability theory that puts the focus on models and applications Introduction to Probability offers an authoritative text that presents the main ideas and concepts, as well as the theoretical background, models, and applications of probability. The authors—noted experts in the field—include a review of problems where probabilistic models naturally arise, and discuss the methodology to tackle these problems. A wide-range of topics are covered that include the concepts of probability and conditional probability, univariate discrete distributions, univariate continuous distributions, along with a detailed presentation of the most important probability distributions used in practice, with their main properties and applications. Designed as a useful guide, the text contains theory of probability, de finitions, charts, examples with solutions, illustrations, self-assessment exercises, computational exercises, problems and a glossary. This important text: • Includes classroom-tested problems and solutions to probability exercises • Highlights real-world exercises designed to make clear the concepts presented • Uses Mathematica software to illustrate the text’s computer exercises • Features applications representing worldwide situations and processes • Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress. Written for students majoring in statistics, engineering, operations research, computer science, physics, and mathematics, Introduction to Probability: Models and Applications is an accessible text that explores the basic concepts of probability and includes detailed information on models and applications.



Discrete Probability Models And Methods


Discrete Probability Models And Methods
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Author : Pierre Brémaud
language : en
Publisher: Springer
Release Date : 2017-01-31

Discrete Probability Models And Methods written by Pierre Brémaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-31 with Mathematics categories.


The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. Although the examples treated in the book relate to the possible applications, in the communication and computing sciences, in operations research and in physics, this book is in the first instance concerned with theory. The level of the book is that of a beginning graduate course. It is self-contained, the prerequisites consisting merely of basic calculus (series) and basic linear algebra (matrices). The reader is not assumed to be trained in probability since the first chapters give in considerable detail the background necessary to understand the rest of the book.



Applied Probability Models With Optimization Applications


Applied Probability Models With Optimization Applications
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Author : Sheldon M. Ross
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15

Applied Probability Models With Optimization Applications written by Sheldon M. Ross and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.


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.



Probability Models


Probability Models
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Author : John Haigh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-04

Probability Models written by John Haigh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.


The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This textbook contains many worked examples and several chapters have been updated and expanded for the second edition. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.



Probability Models In Operations Research


Probability Models In Operations Research
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Author : C. Richard Cassady
language : en
Publisher: CRC Press
Release Date : 2008-08-05

Probability Models In Operations Research written by C. Richard Cassady and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-05 with Business & Economics categories.


Industrial engineering has expanded from its origins in manufacturing to transportation, health care, logistics, services, and more. A common denominator among all these industries, and one of the biggest challenges facing decision-makers, is the unpredictability of systems. Probability Models in Operations Research provides a comprehensive



Introduction To Probability Models Eighth Edition


Introduction To Probability Models Eighth Edition
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Author : Sheldon M. Ross
language : en
Publisher:
Release Date : 2003

Introduction To Probability Models Eighth Edition written by Sheldon M. Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Probabilities categories.


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