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Chapter 1 PROBABILITY AND RANDOM VARIABLES Chapter 2 BASIC MONTE CARLO METHODS Chapter 3 DESCRIPTIVE STATISTICS AND GENERATING FUNCTIONS Chapter 4 STOCHASTIC SIMULATIONS OF DISCRETE DISTRIBUTIONS Chapter 5 STOCHASTIC SIMULATIONS OF CONTINUOUS DISTRIBUTIONS Chapter 6 VARIANCE REDUCTION METHODS Chapter 7 MULTIPLE RANDOM VARIABLES Chapter 8 BERNOULLI AND POISSON PROCESSES Chapter 9 RANDOM WALKS Chapter 10 STOCHASTIC BIRTH-DEATH PROCESSES: THE GILLESPIE ALGORITHM Chapter 11 DISCRETE TIME MARKOV CHAINS Chapter 12 MARKOV CHAIN MONTE CARLO (MCMC) METHODS Chapter 13 BAYESIAN STATISTICS AND MCMC BIBLIOGRAPHY INDEX |