An Introduction To Probability: Theory And Its Applications, 3rd Ed, Vol 1

Table of contents :
· Introduction: The Nature of Probability Theory
· The Sample Space
· Elements of Combinatorial Analysis
· Fluctuations in Coin Tossing and Random Walks
· Combination of Events
· Conditional Probability
· Stochastic Independence
· The Binomial and Poisson Distributions
· The Normal Approximation to the Binomial Distribution
· Unlimited Sequences of Bernoulli Trials
· Random Variables
· Expectation
· Laws of Large Numbers
· Integral Valued Variables
· Generating Functions
· Compound Distributions
· Branching Processes
· Recurrent Events
· Renewal Theory
· Random Walk and Ruin Problems
· Markov Chains
· Algebraic Treatment of Finite Markov Chains
· The Simplest Time-Dependent Stochastic Processes
· Answers to Problems