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Is the location of the supremum of a stationary process nearly uniformly distributed?

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Publication:378811
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DOI10.1214/12-AOP787zbMath1291.60069arXiv1110.1599MaRDI QIDQ378811

Yi Shen, Gennady Samorodnitsky

Publication date: 12 November 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1599


zbMATH Keywords

bounded variationstationary processglobal supremum location


Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Sample path properties (60G17)


Related Items

Asymptotic behaviour of high Gaussian minima ⋮ Random locations of periodic stationary processes ⋮ Random locations, ordered random sets and stationarity ⋮ Discretization error for the maximum of a Gaussian field ⋮ On the favorite points of symmetric Lévy processes



Cites Work

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  • Distribution of the supremum location of stationary processes
  • Extremes and related properties of random sequences and processes
  • Level Sets and Extrema of Random Processes and Fields
  • Random Fields and Geometry
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