This textbook explains the fundamentals of Markov Chain Monte Carlo (MCMC) without assuming advanced knowledge of mathematics and programming. 2, which introduces readers to the Monte Carlo algorithm and highlights the advantages of MCMC, Chap.

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This textbook explains the fundamentals of Markov Chain Monte Carlo (MCMC) without assuming advanced knowledge of mathematics and programming. MCMC is a powerful technique that can be used to integrate complicated functions or to handle complicated probability distributions. MCMC is frequently used in diverse fields where statistical methods are important – e.g. Bayesian statistics, quantum physics, machine learning, computer science, computational biology, and mathematical economics. This book aims to equip readers with a sound understanding of MCMC and enable them to write simulation codes by themselves.

The content consists of six chapters. Following Chapter 2, which introduces readers to the Monte Carlo algorithm and highlights the advantages of MCMC, Chapter 3 presents the general aspects of MCMC. Chapter 4 illustrates the essence of MCMC through the simple example of the Metropolis algorithm. In turn, Chapter 5 explains the HMC algorithm, Gibbs sampling algorithm and Metropolis-Hastings algorithm, discussing their pros, cons and pitfalls. Lastly, Chapter 6 presents several applications of MCMC. Including a wealth of examples and exercises with solutions, as well as sample codes and further math topics in the Appendix, this book offers a valuable asset for students and beginners in various fields.

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Explains the fundamentals of MCMC and important algorithms without assuming advanced knowledge of math and programming Contains many examples, exercises with solutions, and codes Equips readers to write simulation codes by themselves
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Product details

ISBN
9789811927171
Published
2023-10-22
Publisher
Springer Verlag, Singapore
Height
235 mm
Width
155 mm
Age
Upper undergraduate, ES, 14
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
9