An introduction to probability: theory and its applications, Vol. 1
- 3rd ed.
- New Delhi Wiley 1968
- xviii, 509p.
Table of Contents
1. Introduction: The Nature of Probability Theory 2. The Sample Space 3. Elements of Combinatorial Analysis 4. Fluctuations in Coin Tossing and Random Walks 5. Combination of Events 6. Conditional Probability 7. Stochastic Independence 8. The Binomial and Poisson Distributions 9. The Normal Approximation to the Binomial Distribution 10. Unlimited Sequences of Bernoulli Trials 11. Random Variables 12. Expectation 13. Laws of Large Numbers 14. Integral Valued Variables 15. Generating Functions 16. Compound Distributions 17. Branching Processes 18. Recurrent Events 19. Renewal Theory 20. Random Walk and Ruin Problems 21. Markov Chains 22. Algebraic Treatment of Finite Markov Chains 23. The Simplest Time-Dependent Stochastic Processes 24. Answers to Problems --
An Introduction to Probability Theory and Its Applications uniquely blends a comprehensive overview of probability theory with the real-world application of that theory. Beginning with the background and very nature of probability theory, the book then proceeds through sample spaces, combinatorial analysis, fluctuations in coin tossing and random walks, the combination of events, types of distributions, Markov chains, stochastic processes, and more. The book's comprehensive approach provides a complete view of theory along with enlightening examples along the way.