Probability With a View Towards Statistics, Volume II: 1st Edition (Hardback) book cover

Probability With a View Towards Statistics, Volume II

1st Edition

By J. Hoffman-Jorgensen

Chapman and Hall/CRC

552 pages

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Hardback: 9780412052316
pub: 1994-05-15
$185.00
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pub: 2017-11-22
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Description

Volume II of this two-volume text and reference work concentrates on the applications of probability theory to statistics, e.g., the art of calculating densities of complicated transformations of random vectors, exponential models, consistency of maximum estimators, and asymptotic normality of maximum estimators. It also discusses topics of a pure probabilistic nature, such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks, and optimal stopping strategies in random games. Unusual topics include the transformation theory of densities using Hausdorff measures, the consistency theory using the upper definition function, and the asymptotic normality of maximum estimators using twice stochastic differentiability. With an emphasis on applications to statistics, this is a continuation of the first volume, though it may be used independently of that book. Assuming a knowledge of linear algebra and analysis, as well as a course in modern probability, Volume II looks at statistics from a probabilistic point of view, touching only slightly on the practical computation aspects.

Reviews

"…a useful text for library shelves and reference."

-Journal of the Royal Statistical Society

About the Series

Chapman & Hall/CRC Probability Series

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Subject Categories

BISAC Subject Codes/Headings:
MAT029010
MATHEMATICS / Probability & Statistics / Bayesian Analysis