Mathematical Statistics : Basic Ideas and Selected Topics, Volume I, Second Edition Mixed media product
by Peter J. (University of California, Berkeley, USA) Bickel, Kjell A. (University of Wisconsin, Madison, USA) Doksum
Part of the Chapman & Hall/CRC Texts in Statistical Science series
Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition presents fundamental, classical statistical concepts at the doctorate level.
It covers estimation, prediction, testing, confidence sets, Bayesian analysis, and the general approach of decision theory.
This edition gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods.
The book first discusses non- and semiparametric models before covering parameters and parametric models.
It then offers a detailed treatment of maximum likelihood estimates (MLEs) and examines the theory of testing and confidence regions, including optimality theory for estimation and elementary robustness considerations.
It next presents basic asymptotic approximations with one-dimensional parameter models as examples.
The book also describes inference in multivariate (multiparameter) models, exploring asymptotic normality and optimality of MLEs, Wald and Rao statistics, generalized linear models, and more. Mathematical Statistics: Basic Ideas and Selected Topics, Volume II will be published in 2015.
It will present important statistical concepts, methods, and tools not covered in Volume I.
- Format: Mixed media product
- Pages: 576 pages, VitaSource Sticker and information to go on inside page facing title; 16 Tables, black an
- Publisher: Taylor & Francis Inc
- Publication Date: 13/04/2015
- Category: Probability & statistics
- ISBN: 9781498723800