Introduction To Probability Models (9TH 07 - Old Edition)

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.

Ross's classic bestseller, Introduction to Probability Models, has been used extensively 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.

• Classic text by best-selling author

• Continues the tradition of expository excellence

• Contains compulsory material for Exam 3 of the Society of Actuaries

Ross's classic bestseller, <B>Introduction to Probability Models,</B> 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.

Sheldon M. Ross is a professor in the Department of Industrial Engineering and Operations Research at the University of Southern California. He received his Ph.D. in statistics at Stanford University in 1968. He has published many technical articles and textbooks in the areas of statistics and applied probability. Among his texts are A First Course in Probability, Introduction to Probability Models, Stochastic Processes, and Introductory Statistics. Professor Ross is the founding and continuing editor of the journal Probability in the Engineering and Informational Sciences. He is a Fellow of the Institute of Mathematical Statistics, and a recipient of the Humboldt US Senior Scientist Award.

University of Southern California, Los Angeles, USA

Preface

1. Introduction to Probability Theory;

2. Random Variables

3. Conditional Probability and Conditional Expectation

4. Markov Chains

5. The Exponential Distribution and the Poisson Process

6. Continuous-Time Markov Chains

7. Renewal Theory and Its Applications

8. Queueing Theory

9. Reliability Theory

10. Brownian Motion and Stationary Processes

11. Simulation

Appendix: Solutions to Starred Exercises

Index