Selected Works of RM Dudley

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 c...

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Detalles Bibliográficos
Autores principales: Gine, Evarist, Koltchinskii, Vladimir, Norvaisa, Rimas
Lenguaje:eng
Publicado: Springer 2010
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-1-4419-5821-1
http://cds.cern.ch/record/1412414
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author Gine, Evarist
Koltchinskii, Vladimir
Norvaisa, Rimas
author_facet Gine, Evarist
Koltchinskii, Vladimir
Norvaisa, Rimas
author_sort Gine, Evarist
collection CERN
description 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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2010
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spelling cern-14124142021-04-22T00:45:18Zdoi:10.1007/978-1-4419-5821-1http://cds.cern.ch/record/1412414engGine, EvaristKoltchinskii, VladimirNorvaisa, RimasSelected Works of RM DudleyMathematical Physics and MathematicsFor 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 meSpringeroai:cds.cern.ch:14124142010
spellingShingle Mathematical Physics and Mathematics
Gine, Evarist
Koltchinskii, Vladimir
Norvaisa, Rimas
Selected Works of RM Dudley
title Selected Works of RM Dudley
title_full Selected Works of RM Dudley
title_fullStr Selected Works of RM Dudley
title_full_unstemmed Selected Works of RM Dudley
title_short Selected Works of RM Dudley
title_sort selected works of rm dudley
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-1-4419-5821-1
http://cds.cern.ch/record/1412414
work_keys_str_mv AT gineevarist selectedworksofrmdudley
AT koltchinskiivladimir selectedworksofrmdudley
AT norvaisarimas selectedworksofrmdudley

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