Expansions and Asymptotics for Statistics

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.
• Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Statistical Theory & Methods
Statistics
Computational Numerical Analysis
Reference
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