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Book Cover
E-book
Author Small, Christopher G.

Title Expansions and asymptotics for statistics / Christopher G. Small
Published Boca Raton : CRC Press, ©2010

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Description 1 online resource (xiv, 343 pages) : illustrations
Series Monographs on statistics and applied probability ; 115
Monographs on statistics and applied probability (Series) ; 115.
Contents 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
Summary 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 Maplea commands and provides a list of c
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Asymptotic distribution (Probability theory)
Asymptotic expansions.
MATHEMATICS -- Probability & Statistics -- General.
Asymptotic distribution (Probability theory)
Asymptotic expansions
Statistisk teori.
Form Electronic book
ISBN 9781420011029
1420011022
1282903209
9781282903203