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Mathematical foundations of infinite-dimensional statistical models

Author: Evarist Giné; Richard Nickl
Publisher: New York, NY : Cambridge University Press, 2016.
Series: Cambridge series on statistical and probabilistic mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

This book develops the theory of statistical inference in statistical models with an infinite-dimensional parameter space, including mathematical foundations and key decision-theoretic principles.

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Giné, Evarist, 1944-
Mathematical foundations of infinite-dimensional statistical models.
New York, NY : Cambridge University Press, 2016
(DLC) 2015021997
(OCoLC)910802250
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Evarist Giné; Richard Nickl
ISBN: 9781107337862 1107337860 9781316443880 1316443884
OCLC Number: 945554757
Description: 1 online resource (1 volume).
Contents: 1. Nonparametric statistical models; 2. Gaussian processes; 3. Empirical processes; 4. Function spaces and approximation theory; 5. Linear nonparametric estimators; 6. The minimax paradigm; 7. Likelihood-based procedures; 8. Adaptive inference.
Series Title: Cambridge series on statistical and probabilistic mathematics.
Responsibility: Evarist Giné, Richard Nickl.

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'Finally - a book that goes all the way in the mathematics of nonparametric statistics. It is reasonably self-contained, despite its depth and breadth, including accessible overviews of the necessary Read more...

 
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