Probability With a View Towards Statistics, Volume II: 002 (Chapman & Hall/CRC Probability Series) - Hardcover

Hoffman-Jorgensen, J.

Hardcover

ISBN 10: 0412052318 ISBN 13: 9780412052316

Publisher: Routledge, 1994

Synopsis

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.

About this title

Review:

..."a useful text for library shelves and reference." -Journal of the Royal Statistical Society

Synopsis:

Volume 2 concentrates on the application of probability theory to statisticians - for example, 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 parts of pure probabilistic nature such as stochastic processes, regular conditional probabilities, strong Markov chains, random walks and optimal stopping strategies in random games.

About this edition

• Publisher: Routledge
• Publication date: 1994
• ISBN 10: 0412052318
• ISBN 13: 9780412052316
• Binding: Hardcover
• Edition number: 1
• Number of pages: 552