Feller, William

An introduction to probability theory and its applications - 3rd ed. - New Delhi: Wiley, 2018. - xviii, 499p.; PAPER BACK 21 cm. - Vol. 1 .

Mathematics

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, 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


Probability

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Mathematics

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