Simulation and Monte Carlo: With Applications in Finance and MCMC
Simulation and Monte Carlo is aimed at students studying for degrees in Mathematics, Statistics, Financial Mathematics, Operational Research, Computer Science, and allied subjects, who wish an up-to-date account of the theory and practice of Simulation. Its distinguishing features are in-depth accounts of the theory of Simulation, including the important topic of variance reduction techniques, together with illustrative applications in Financial Mathematics, Markov chain Monte Carlo, and Discrete Event Simulation.
Each chapter contains a good selection of exercises and solutions with an accompanying appendix comprising a Maple worksheet containing simulation procedures. The worksheets can also be downloaded from the web site supporting the book. This encourages readers to adopt a hands-on approach in the effective design of simulation experiments.
Arising from a course taught at Edinburgh University over several years, the book will also appeal to practitioners working in the finance industry, statistics and operations research.
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2 Uniform random numbers
3 General methods for generating random variates
4 Generation of variates from standard distributions
5 Variance reduction
6 Simulation and finance
7 Discrete event simulation
8 Markov chain Monte Carlo
Appendix 2 Random number generators
Appendix 3 Computations of acceptance probabilities
Appendix 4 Random variate generators standard distributions
Appendix 5 Variance reduction
Appendix 6 Simulation and finance
Appendix 7 Discrete event simulation
Appendix 8 Markov chain Monte Carlo