Numerical Methods of Statistics

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Edition: 2nd
Format: Hardcover
Pub. Date: 2011-04-18
Publisher(s): Cambridge University Press
List Price: $142.00

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Summary

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 on a floppy disk included with the book.

Table of Contents

Algorithms and computers
Computer arithmetic
Matrices and linear equations
More methods for solving linear equations
Least squares
Eigenproblems
Functions: interpolation, smoothing and approximation
Introduction to optimization and nonlinear equations
Maximum likelihood and nonlinear regression
Numerical integration and Monte Carlo methods
Generating random variables from other distributions
Statistical methods for integration and Monte Carlo
Markov chain Monte Carlo methods
Sorting and fast algorithms
Table of Contents provided by Publisher. All Rights Reserved.

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