Christopher G. Small

Expansions and Asymptotics for Statistics (eBook, PDF)

• Format: PDF

Produktbeschreibung

Providing a broad toolkit of analytical methods, this book shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. It describes core ideas in statistical asymptotics; covers Laplace approximation, the saddle-point method, and summation of series; and includes vignettes of various people from statistics and mathematics whose ideas have been instrumental in the development of the subject. The author also supplements some topics with relevant Maple commands and provides a list of common series and products, enabling readers to expand an expression or simplify an expansion.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 357
• Erscheinungstermin: 7. Mai 2010
• Englisch
• ISBN-13: 9781420011029
• Artikelnr.: 57533958

Autorenporträt

Christopher G. Small is a professor in the Department of Statistics and Actuarial Science at the University of Waterloo in Ontario, Canada.

Inhaltsangabe

Introduction. General Series Methods. Padé Approximants and Continued
Fractions. The Delta Method and Its Extensions. Optimality and Likelihood
Asymptotics. The Laplace Approximation and Series. The Saddle-Point Method.
Summation of Series. Glossary of Symbols. Useful Limits, Series and
Products. References. Index.