Monte Carlo Simulations

I'm looking for some good introductory resources and examples for Monte Carlo Simulations done in R both to brush up on it and so that I can help walk someone else through how to develop them.

Chapter 26 of Introduction to Data Science: Data Analysis and Prediction Algorithms with R by Rafael A. Irizarry, a biostatistican who teaches a great "what ever graduate student needs to know to do numeric research" HarvardX course

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I think the book Introduction to probability simulation and Gibbs sampling with R may suit. It is to me a pretty good book for going into simulation, and has a full chapter on Monte Carlo integration.
cheers

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You may also take a look at this:

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