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Asymptotic Theory of Statistics and Probability

Previously published in hardcover
BuchKartoniert, Paperback
722 Seiten
Englisch
Springererschienen am22.10.20142008
This book developed out of my year-long course on asymptotic theory at Purdue University. Numeroustopics covered in this book are available in the literature in a scattered manner, and they are brought together under one umbrella in this book.mehr
Verfügbare Formate
BuchGebunden
EUR131,50
BuchKartoniert, Paperback
EUR90,94
E-BookPDF1 - PDF WatermarkE-Book
EUR90,94

Produkt

KlappentextThis book developed out of my year-long course on asymptotic theory at Purdue University. Numeroustopics covered in this book are available in the literature in a scattered manner, and they are brought together under one umbrella in this book.
ZusammenfassungThis unique book delivers an encyclopedic treatment of classic as well as contemporary large sample theory. It deals with both statistical problems and probabilistic issues and tools. The book's detailed coverage is written in an extremely lucid style.
Details
ISBN/GTIN978-1-4614-9884-1
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2014
Erscheinungsdatum22.10.2014
Auflage2008
ReiheSpringer Texts in Statistics
Seiten722 Seiten
SpracheEnglisch
Gewicht1139 g
IllustrationenXXVII, 722 p.
Artikel-Nr.33251725

Inhalt/Kritik

Inhaltsverzeichnis
Basic Convergence Concepts and Theorems.- Metrics, Information Theory, Convergence, and Poisson Approximations.- More General Weak and Strong Laws and the Delta Theorem.- Transformations.- More General Central Limit Theorems.- Moment Convergence and Uniform Integrability.- Sample Percentiles and Order Statistics.- Sample Extremes.- Central Limit Theorems for Dependent Sequences.- Central Limit Theorem for Markov Chains.- Accuracy of Central Limit Theorems.- Invariance Principles.- Edgeworth Expansions and Cumulants.- Saddlepoint Approximations.- U-statistics.- Maximum Likelihood Estimates.- M Estimates.- The Trimmed Mean.- Multivariate Location Parameter and Multivariate Medians.- Bayes Procedures and Posterior Distributions.- Testing Problems.- Asymptotic Efficiency in Testing.- Some General Large-Deviation Results.- Classical Nonparametrics.- Two-Sample Problems.- Goodness of Fit.- Chi-square Tests for Goodness of Fit.- Goodness of Fit with Estimated Parameters.- The Bootstrap.- Jackknife.- Permutation Tests.- Density Estimation.- Mixture Models and Nonparametric Deconvolution.- High-Dimensional Inference and False Discovery.- A Collection of Inequalities in Probability, Linear Algebra, and Analysis.mehr