An Introduction to Stochastic Modeling

Introduces students to the standard concepts and methods of stochastic modeling, to illustrate the diversity of applications of stochastic processes in the applied sciences, and to provide exercises in the application of simple stochastic analysis to realistic problems.

Klappentext

4th edition. With updated problems and exercises, and additional sections on Matingales and Poisson process.

Inhalt

Introduction
Conditional Probability and Conditional Expectation
Markov Chains: Introduction
The Long Run Behavior of Markov Chains
Poisson Processes
Continuous Time Markov Chains
Renewal Phenomena
Brownian Motion and Related Processes
Queueing Systems
Random Evolutions
Characteristic Functions and Their Applications