Buch, Englisch, 722 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1124 g
Reihe: Springer Texts in Statistics
Buch, Englisch, 722 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1124 g
Reihe: Springer Texts in Statistics
ISBN: 978-1-4614-9884-1
Verlag: Springer
This unique book provides unmatched coverage of topics of interest to a very broad spectrum of statisticians and also probabilists. The book can be used in multiple roles. It can be used as a graduate text with a huge choice of topics for the instructor, as an invaluable general purpose reference, for independent reading by students and researchers, and for getting an overview of the latest developments in some of the most contemporary topics, such as false discovery, treatment of dependent data, and the bootstrap. There is no other book in large sample theory that matches this book in coverage, exercises and examples, bibliography, and lucid conceptual discussion of issues and theorems.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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.
