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Springer Selected Works of R.M. Dudley - Probability and Statistics

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Description

This collection presents the influential research of Richard M. Dudley, a leading figure in probability theory for nearly five decades. Explore his groundbreaking contributions to Gaussian processes, where his work established the fundamental connection between sample boundedness, continuity, and complexity measures in parameter spaces with intrinsic covariance metrics. Dudley's sufficient conditions for sample continuity using metric entropy have become essential tools in probability research and were later shown by X. Fernique to be necessary for stationary Gaussian processes. This selected works volume gathers his most significant papers and theoretical advances, making it an invaluable resource for mathematicians, statisticians, and researchers studying advanced probability theory, stochastic processes, and their applications. The Springer publication ensures rigorous academic standards and comprehensive coverage of his mathematical legacy.

Key Features

Richard M. Dudley's selected works span nearly fifty years of influential research in probability theory and Gaussian processes.

Comprehensive coverage of metric entropy conditions and their role in characterising sample continuity of Gaussian processes.

Includes foundational results on how parameter space complexity relates to sample properties through intrinsic covariance metrics.

Published by Springer as part of the Selected Works in Probability and Statistics series, ensuring academic credibility.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
25 August 2010
Listed Since
31 December 2009

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