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  • © 2013

Essentials of Monte Carlo Simulation

Statistical Methods for Building Simulation Models

  • Offers a "fundamentals" approach to developing Monte Carlo computer simulations

  • Illustrates the best ways to select input distributions and parameters with or without sample data

  • Author has published widely in the areas of operations research and statistics

  • Includes supplementary material: sn.pub/extras

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Hardcover Book USD 169.99
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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xviii
  2. Introduction

    • Nick T. Thomopoulos
    Pages 1-7
  3. Random Number Generators

    • Nick T. Thomopoulos
    Pages 9-14
  4. Generating Random Variates

    • Nick T. Thomopoulos
    Pages 15-26
  5. Generating Continuous Random Variates

    • Nick T. Thomopoulos
    Pages 27-44
  6. Generating Discrete Random Variates

    • Nick T. Thomopoulos
    Pages 45-55
  7. Generating Multivariate Random Variates

    • Nick T. Thomopoulos
    Pages 57-70
  8. Special Applications

    • Nick T. Thomopoulos
    Pages 71-78
  9. Output from Simulation Runs

    • Nick T. Thomopoulos
    Pages 79-90
  10. Analysis of Output Data

    • Nick T. Thomopoulos
    Pages 91-112
  11. Choosing the Probability Distribution from Data

    • Nick T. Thomopoulos
    Pages 113-135
  12. Choosing the Probability Distribution When No Data

    • Nick T. Thomopoulos
    Pages 137-145
  13. Back Matter

    Pages 147-171

About this book

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 several 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. Over 100 numerical examples are presented as part of the appendix to illustrate useful real world applications.  The text also contains an easy to read  presentation with minimal use of difficult mathematical concepts.  Very little has been published in the area of computer Monte Carlo simulation methods, and this book will appeal to students and researchers in the fields of Mathematics and Statistics. 

Reviews

...the author notes that the text is intended for users who want to know more about how the Monte Carlo model “does what it does.” He goes on to further describe the book as telling the user how to cope with simulation models that are associated with two or more variables that are correlated and jointly related, that is, are multivariate in nature. The book will also help users who are confronted with a probability distribution that does not comply with those available in the software they are using...I like the fact that the author uses several examples that are fairly easy to follow for the analyst. Problems assigned to each chapter with corresponding solutions are presented in the appendices for the reader to test their knowledge of the material.
Technometrics 56:1 2014

Authors and Affiliations

  • , Stuart School of Business, Illinois Institute of Technology, Burr Ridge, USA

    Nick T. Thomopoulos

About the author

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.

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Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access