On the sequence of partial maxima of some random sequences

DOI10.1016/0304-4149(84)90177-7zbMath0523.60023OpenAlexW2015108387WikidataQ127360279 ScholiaQ127360279MaRDI QIDQ1056460

Mario Wschebor, Joaquín E. Ortega

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0304-4149(84)90177-7

zbMATH Keywords

crossingsstationary Gaussian sequencespartial maximamoving barrierszero-one laws for maxima

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Zero-one laws (60F20)

Related Items (14)

Almost sure limit points of sample extremes of an i.i.d. sequence ⋮ Unnamed Item ⋮ Extensions of the Borel-Cantelli lemma in general measure spaces ⋮ Bounds for probabilities of unions of events and the Borel-Cantelli lemma ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ The Borel-Cantelli lemma under dependence conditions ⋮ Almost sure limit points of record values from two independent populations ⋮ A generalization of the Borel-Cantelli lemma ⋮ A bilateral inequality on the Borel-Cantelli lemma ⋮ On the Borel-Cantelli lemma and its generalization ⋮ Moment estimates in the first Borel-Cantelli lemma with applications to mean deviation frequencies ⋮ On the increments of the Wiener process ⋮ Almost sure limit points of independent copies of sample maxima ⋮ On Strong Convergence

Cites Work

• Unnamed Item
• A new mixing condition for stationary Gaussian processes
• Limiting behavior of maxima in stationary Gaussian sequences
• An Asymptotic 0-1 Behavior of Gaussian Processes
• Limit Theorems for the Maximum Term in Stationary Sequences
• A REDUCTION FORMULA FOR NORMAL MULTIVARIATE INTEGRALS

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