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Numerical Analysis for Statisticians

  • Textbook
  • © 1999

Overview

Part of the book series: Statistics and Computing (SCO)

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Table of contents (24 chapters)

Keywords

About this book

This book, like many books, was born in frustration. When in the fall of 1994 I set out to teach a second course in computational statistics to d- toral students at the University of Michigan, none of the existing texts seemed exactly right. On the one hand, the many decent, even inspiring, books on elementary computational statistics stress the nuts and bolts of using packaged programs and emphasize model interpretation more than numerical analysis. On the other hand, the many theoretical texts in - merical analysis almost entirely neglect the issues of most importance to statisticians. TheclosestbooktomyidealwastheclassicaltextofKennedy and Gentle [2]. More than a decade and a half after its publication, this book still has many valuable lessons to teach statisticians. However, upon re?ecting on the rapid evolution of computational statistics, I decided that the time was ripe for an update. The book you see before you represents a biased selection of those topics in theoretical numerical analysis most relevant to statistics. By intent this book is not a compendium of tried and trusted algorithms, is not a c- sumer’s guide to existing statistical software, and is not an exposition of computer graphics or exploratory data analysis. My focus on principles of numerical analysis is intended to equip students to craft their own software and to understand the advantages and disadvantages of di?erent numerical methods. Issues of numerical stability, accurate approximation, compu- tional complexity, and mathematical modeling share the limelight and take precedence over philosophical questions of statistical inference.

Reviews

From a review:

MATHEMATICAL REVIEWS

"This book provides reasonably good coverage of numerical methods that are important in statistical applications. ...but overall the text serves as a good introduction to computational statistics."

 

Authors and Affiliations

  • Departments of Biomathematics and Human Genetics, UCLA School of Medicine, Los Angeles, USA

    Kenneth Lange

Bibliographic Information

  • Book Title: Numerical Analysis for Statisticians

  • Authors: Kenneth Lange

  • Series Title: Statistics and Computing

  • DOI: https://doi.org/10.1007/b98850

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • eBook ISBN: 978-0-387-22724-5Published: 06 April 2006

  • Series ISSN: 1431-8784

  • Series E-ISSN: 2197-1706

  • Edition Number: 1

  • Number of Pages: XV, 356

  • Topics: Applications of Mathematics

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