An Introduction to Probability Theory and Its Applications. Vol. 1, 2nd ed. by William Feller

An Introduction to Probability Theory and its Applications, Volume 1
461 pp. CONTENTS: Introduction: The Nature of Probability Theory; I. The Sample Space; II. Elements of Combinatorial Analysis; III. Fluctuations In Coin Tossing and Random Walks; IV. Combination of Events; V. Conditional Probability. Stochastic Independence.; VI. The Binomial and the Poisson Distributions; VII. the Normal Approximation to the Binomial Distribution; VIII. Unlimited Sequences of Bernoulli Trials; IX. Random Variables, Expectation; X. Laws of Large Numbers; XI. Integral Valued Variables. Generating Functions; XII. Compound Distributions. Branching Processes; XIII. Recurrent Events. The Renewal Equation; XIV. Random Walk and Ruin Problems; XV. Markov Chains; XVI. Algebraic Treatment of Finite Markov Chains; XVII. The Simplest Time-Dependent Stochastic Processes; Answers to Problems; Index.Keywords: PROBABILITY STATISTICS SCIENCE