An introduction to probability: theory and its applications, Vol. 1

Feller, William

An introduction to probability: theory and its applications, Vol. 1 William Feller, - 3RD - New Delhi Wiley 1968 - 509P

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, Stochastic Independence 7. The Binomial and the Poisson Distribution 8. The Normal Approximation to the Binomial Distribution 9. Unlimited Sequences of Bernoulli Trials 10. Random Variables; Expectation 11. Laws of Large Numbers 12. Integral Valued Variables, Generating Functions 13. Compound Distributions, Branching Process 14. Recurrent Events. Renewal Theory 15. Random Walk and Ruin Problems 16. Markov Chains 17. Algebraic Treatment of Finite Markov Chains 18. The Simplest Time-Dependent Stochastic Processes

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