Authors:Evarist Giné, David M. Mason, Jon A. Wellner,
Publisher: Birkhäuser Boston
Keywords: probability, progress, dimensional
Number of Pages: 510
Published: 2001-02-15
List price: $167.00
ISBN-10: 0817641602
ISBN-13: 9780817641603

High dimensional probability is a rapidly growing field. Many new ideas, results, and directions in this evolving subject are explored in this volume, an outgrowth of the Second International Conference on High Dimensional Probability, held at the University of Washington, Seattle. The notion of high dimensional probability, as represented by these papers, encompasses a wide range of topics in both statistics and probability theory, centering around the development and application of powerful methods in the areas of probability on Banach spaces, Gaussian process theory, and strong and distribu

Authors:Evarist Giné, Vladimir Koltchinskii, R. Norvaia,
Publisher: Springer
Keywords: selected, works, statistics, dudley, probability
Number of Pages: 505
Published: 2010-08-25
List price: $199.00
ISBN-10: 1441958207
ISBN-13: 9781441958204

For almost fifty years, Richard M. Dudley has been extremely influential in the development of several areas of Probability. His work on Gaussian processes led to the understanding of the basic fact that their sample boundedness and continuity should be characterized in terms of proper measures of complexity of their parameter spaces equipped with the intrinsic covariance metric. His sufficient condition for sample continuity in terms of metric entropy is widely used and was proved by X. Fernique to be necessary for stationary Gaussian processes, whereas its more subtle versions (majorizing me