Conditions for the convergence in distribution of maxima of stationary normal processes

DOI10.1016/0304-4149(78)90002-9zbMath0399.60030OpenAlexW2040239678MaRDI QIDQ1254776

Georg Lindgren, M. Ross Leadbetter, Holger Rootzén

Publication date: 1978

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(78)90002-9

zbMATH Keywords

Limit Distribution for MaximaStationary Normal ProcessesStationary Normal Sequences

Mathematics Subject Classification ID

Gaussian processes (60G15) Stationary stochastic processes (60G10)

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Cites Work

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• Limit distributions for the maxima of stationary Gaussian processes
• Some Limit Theorems for Random Functions. II
• Lipschitz Behavior and Integrability of Characteristic Functions
• Extreme Values in Uniformly Mixing Stationary Stochastic Processes
• Asymptotic Properties of the Maximum in a Stationary Gaussian Process
• Asymptotic Independence of the Numbers of High and Low Level Crossings of Stationary Gaussian Processes
• Maxima and High Level Excursions of Stationary Gaussian Processes
• On extreme values in stationary sequences
• Limit Theorems for the Maximum Term in Stationary Sequences
• Extreme Values in Samples from $m$-Dependent Stationary Stochastic Processes