Introduction to Stochastic Processes (Dover Books on Mathematics) [Paperback]
Clear presentation employs methods that recognize computer-related aspects of theory. Topics include expectations and independence, Bernoulli processes and sums of independent random variables, Markov chains, renewal theory, more. 1975 edition. Preface 1. Probability Spaces and Random Variables 2. Expectations and Independence 3. Bernoulli Processes and Sums of Independent Random Variables 4. Poisson Processes 5. Markov Chains 6. Limiting Behavior and Applications of Markov Chains 7. Potentials, Excessive Functions, and Optimal Stopping of Markov Chains 8. Markov Processes 9. Renewal Theory 10. Markov Renewal Theory Afterword Appendix. Non-Negative Matrices References Answers to Selected Exercises Index of Notations Subject Index
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