Introduction to probability models
著者
書誌事項
Introduction to probability models
Academic Press, c2007
9th ed
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注記
Previous ed.: c2003
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Preface1. Introduction to Probability Theory
- 2. Random Variables3. Conditional Probability and Conditional Expectation4. Markov Chains5. The Exponential Distribution and the Poisson Process6. Continuous-Time Markov Chains7. Renewal Theory and Its Applications8. Queueing Theory9. Reliability Theory10. Brownian Motion and Stationary Processes11. SimulationAppendix: Solutions to Starred ExercisesIndex
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