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Asymptotic statistics

Author: A W van der Vaart
Publisher: Cambridge, UK ; New York, NY, USA : Cambridge University Press, 1998.
Series: Cambridge series on statistical and probabilistic mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book is an introduction to the field of asymptotic statistics. The treatment is both practical and mathematically rigorous. In addition to most of the standard topics of an asymptotics course, including likelihood inference, M-estimation, asymptotic efficiency, U-statistics, and rank procedures, the book also presents recent research topics such as semiparametric models, the bootstrap, and empirical processes  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A W van der Vaart
ISBN: 0521496039 9780521496032 0521784506 9780521784504
OCLC Number: 38738910
Description: xv, 443 pages : illustrations ; 26 cm.
Contents: 1. Introduction --
2. Stochastic convergence --
3. The delta-method --
4. Moment estimators --
5. M- and Z-estimators --
6. Contiguity --
7. Local asymptotic normality --
8. Efficiency of estimators --
9. Limits of experiments --
10. Bayes procedures --
11. Projections --
12. U-statistics --
13. Rank, sign, and permutation statistics --
14. Relative efficiency of tests --
15. Efficiency of tests --
16. Likelihood ratio tests --
17. Chi-square tests --
18. Stochastic convergence in metric spaces --
19. Empirical processes --
20. The functional delta-method --
21. Quantiles and order statistics --
22. L-statistics --
23. The bootstrap --
24. Nonparametric density estimation --
25. Semiparametric models.
Series Title: Cambridge series on statistical and probabilistic mathematics.
Responsibility: A.W. van der Vaart.
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Abstract:

This mathematically rigorous, practical introduction to the field of asymptotic statistics develops most of the usual topics of an asymptotics course, and also presents recent research topics such as  Read more...

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'The book is extremely well written and clear ... it is comprehensive and has an abundant supply of worked examples ... anyone who is genuinely interested in learning about some of the recent Read more...

 
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