This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. The book concludes with an examination of sorting, FFT and the application of other "fast" algorithms to statistics. Each chapter contains exercises that range in difficulty as well as examples of the methods at work. Most of the examples are accompanied by demonstration code available from the author's home page.
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Book Description:
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. The first half of the book provides a basic background in numerical analysis emphasizing issues important to statisticians. The next several chapters cover a broad array of applications, such as maximum likelihood and nonlinear regression, numerical integration and random number generation, Monte Carlo methods, sorting, FFT and the application of other "fast" algorithms to statistics. Numerous examples are accompanied by demonstration code available on a floppy disk included with the book. This graduate text will also be a valuable reference for statisticians, mathematicians, and numerical analysts.
About the Author:John F. Monahan is a Professor of Statistics at North Carolina State University where he joined the faculty in 1978 and has been a professor since 1990. His research has appeared in numerous computational as well as statistical journals. He is also the author of A Primer on Linear Models (2008).
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3. Numerical Methods of Statistics [Paperback] [Aug 19, 2011] Monahan, John
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4. Numerical Methods of Statistics (Series: Cambridge Series in Statistical and Probabilistic Mathematics), (Second Edition)
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Book Description Cambridge University Press, 2011. Softcover. Condition: New. 2nd edition. This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author`s website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelderâ??Mead search algorithm. Contents 1. Algorithms and computers 2. Computer arithmetic 3. Matrices and linear equations 4. More methods for solving linear equations 5. Least squares 6. Eigenproblems 7. Functions: interpolation, smoothing and approximation 8. Introduction to optimization and nonlinear equations 9. Maximum likelihood and nonlinear regression 10. Numerical integration and Monte Carlo methods 11. Generating random variables from other distributions 12. Statistical methods for integration and Monte Carlo 13. Markov chain Monte Carlo methods 14. Sorting and fast algorithms. Printed Pages: 458. Seller Inventory # 39475
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