Téléchargez le livre : Geometrical Foundations of Asymptotic Inference

Geometrical Foundations of Asymptotic Inference

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Éditeur :

Wiley-Interscience


Collection :

Wiley Series in Probability and Statistics

Paru le : 2011-09-09

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Description
Differential geometry provides an aesthetically appealing and oftenrevealing view of statistical inference. Beginning with anelementary treatment of one-parameter statistical models and endingwith an overview of recent developments, this is the first book toprovide an introduction to the subject that is largely accessibleto readers not already familiar with differential geometry. It alsogives a streamlined entry into the field to readers with richermathematical backgrounds. Much space is devoted to curvedexponential families, which are of interest not only because theymay be studied geometrically but also because they are analyticallyconvenient, so that results may be derived rigorously. In addition,several appendices provide useful mathematical material on basicconcepts in differential geometry. Topics covered include thefollowing:
* Basic properties of curved exponential families
* Elements of second-order, asymptotic theory
* The Fisher-Efron-Amari theory of information loss and recovery
* Jeffreys-Rao information-metric Riemannian geometry
* Curvature measures of nonlinearity
* Geometrically motivated diagnostics for exponential familyregression
* Geometrical theory of divergence functions
* A classification of and introduction to additional work in thefield
Pages
376 pages
Collection
Wiley Series in Probability and Statistics
Parution
2011-09-09
Marque
Wiley-Interscience
EAN papier
9780471826682
EAN PDF
9781118165973
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
376
Taille du fichier
17152 Ko
Prix
228,88 €

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