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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 457, Pages 101–113 (Mi znsl6439)  
This article is cited in 2 scientific papers (total in 2 papers)

On an exponential functional for Gaussian processes and its geometric foundations

R. A. Vitale

Department of Statistics, University of Connecticut, Storrs, CT 06269-4120 USA
Full-text PDF (198 kB) Citations (2)
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Abstract: After setting geometric notions, we revisit an exponential functional that has arisen in several contexts, with special attention to a set of geometric parameters and associated inequalities.
Key words and phrases: Alexandrov–Fenchel inequality, Brunn–Minkowski theory, deviation bound, Gaussian process, intrinsic volume, isonormal Gaussian process, Itô–Nisio, logconcavity, Minkowski functional, mixed volume, oscillation, quermassintegral, Steiner formula, supremum, ultra-logconcavity, Wills functional.
Received: 24.07.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 4, Pages 406–414
DOI: https://doi.org/10.1007/s10958-019-04247-4
Document Type: Article
UDC: 519.2
Language: English
Citation: R. A. Vitale, “On an exponential functional for Gaussian processes and its geometric foundations”, Probability and statistics. Part 25, Zap. Nauchn. Sem. POMI, 457, POMI, St. Petersburg, 2017, 101–113; J. Math. Sci. (N. Y.), 238:4 (2019), 406–414
Citation in format AMSBIB
\Bibitem{Vit17}
\by R.~A.~Vitale
\paper On an exponential functional for Gaussian processes and its geometric foundations
\inbook Probability and statistics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 457
\pages 101--113
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6439}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 4
\pages 406--414
\crossref{https://doi.org/10.1007/s10958-019-04247-4}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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