Ross's Simulation, Fourth Edition introduces aspiring and practicing actuaries, engineers, computer scientists and others to the practical aspects of constructing computerized simulation studies to analyze and interpret real phenomena. Readers learn to apply results of these analyses to problems in a wide variety of fields to obtain effective, accurate solutions and make predictions about future outcomes. This text explains how a computer can be used to generate random numbers, and how to use these random numbers to generate the behavior of a stochastic model over time. It presents the statistics needed to analyze simulated data as well as that needed for validating the simulation model.
New to this Edition: -More focus on variance reduction, including control variables and their use in estimating the expected return at blackjack and their relation to regression analysis -A chapter on Markov chain monte carlo methods with many examples -Unique material on the alias method for generating discrete random variables
Product Details
Simulation, Fourth Edition (Statistical Modeling and Decision Science)
This review is from: Simulation, Fourth Edition (Statistical Modeling and Decision Science) (Hardcover)
"Simulation" by Sheldon Ross is a good book for introducing undergraduates to Monte Carlo simulation. I teach statistics to final year undergraduate students and I find that this book is at the perfect level for my students.
After providing a recap of the basics of probability theory, Ross defines what a random number and a pseudorandom number are and then details how these numbers can be used to generate random variates from discrete and continuous probability distributions. Ross discusses the most commonly used algorithms for generating such variates, including the Inverse Transformation Method, the Acceptance-Rejection Method and methods for generating normal random variates. Ross also discusses problem solving using a simulation approach; the analysis of simulated data; variance reduction techniques (including how to determine the number of simulations required in order to solve a problem); and Markov Chain Monte Carlo methods.
This review is from: Simulation, Fourth Edition (Statistical Modeling and Decision Science) (Hardcover)
I'm currently an undergraduate studying introductory simulation, and this book has not been effective in conveying the necessary information.
This textbook (if it can even be called one) is at best reference material. Examples are not clearly explained or worked out, i.e. methods for simulating a process are not fully explained and the actual estimator is never written down.
The material is just too dense and an entire semester detailing various simulation techniques was covered in the span on 20-30 pages. Needless to say, this book can only be used as reference material for lectures and cannot be relied on for learning.
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