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Essentials of Monte Carlo Simulation

Statistical Methods for Building Simulation Models

  • Nick T.┬áThomopoulos

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Nick T. Thomopoulos
    Pages 1-7
  3. Nick T. Thomopoulos
    Pages 9-14
  4. Nick T. Thomopoulos
    Pages 15-26
  5. Nick T. Thomopoulos
    Pages 27-44
  6. Nick T. Thomopoulos
    Pages 45-55
  7. Nick T. Thomopoulos
    Pages 57-70
  8. Nick T. Thomopoulos
    Pages 71-78
  9. Nick T. Thomopoulos
    Pages 79-90
  10. Nick T. Thomopoulos
    Pages 91-112
  11. Nick T. Thomopoulos
    Pages 113-135
  12. Nick T. Thomopoulos
    Pages 137-145
  13. Back Matter
    Pages 147-171

About this book

Introduction

Essentials of Monte Carlo Simulation focuses on the fundamentals of Monte Carlo methods using basic computer simulation techniques. The theories presented in this text deal with systems that are too complex to solve analytically. As a result, readers are given a system of interest and constructs using computer code, as well as algorithmic models to emulate how the system works internally. After the models are run very many times, in a random sample way, the data for each output variable(s) of interest is analyzed by ordinary statistical methods. This book features 11 comprehensive chapters, and discusses such key topics as random number generators, multivariate random variates, and continuous random variates. More than 100 numerical examples are presented in the chapters to illustrate useful real world applications. The text also contains an easy to read presentation with minimal use of difficult mathematical concepts. With a strong focus in the area of computer Monte Carlo simulation methods, this book will appeal to students and researchers in the fields of Mathematics and Statistics.

 

Nick T. Thomopoulos is a professor emeritus at the Illinois Institute of Technology. He is the author of six books, including Fundamentals of Queuing Systems (2012). He has more than 100 published papers and presentations to his credit, and for many years, he has consulted in a wide variety of industries in the United States, Europe, and Asia. He has been the recipient of numerous honors, such as the Rist Prize in 1972 from the Military Operations Research Society for new developments in queuing theory, the Distinguished Professor Award in Bangkok, Thailand in 2005 from the IIT Asian Alumni Association, and the Professional Achievement Award in 2009 from the IIT Alumni Association.

Keywords

Monte Carlo Simulations Multivariate Random Variates Random Number Generators Simulation Models Statistical Methods and Techniques

Authors and affiliations

  • Nick T.┬áThomopoulos
    • 1
  1. 1., Stuart School of BusinessIllinois Institute of TechnologyBurr RidgeUSA

Bibliographic information

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