The complete characterization of the upper and lower class of the record and inter-record times of an I.I.D. sequence

DOI10.1007/BF00532158zbMath0488.60030MaRDI QIDQ3949725

Paul Deheuvels

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

record valuesextreme valueslaw of the iterated logarithmmaximastrong approximationstrong invariance principles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (8)

On a joint strong approximation theorem for record and inter-record times ⋮ Strong Approximations For It-Records And Records In TheF^α-Scheme-A Duality ⋮ Strong approximations of k-th records and k-th record times by Wiener processes ⋮ On record indices and record times ⋮ Strong approximation of the number of renewal paced record times ⋮ Functional laws of the iterated logarithm for records ⋮ Invariant record processes and applications to best choice modelling ⋮ On the Hausdorff dimension of exceptional random sets generated by multivariate spacings

Cites Work

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• Extremal Processes
• On outstanding values in a sequence of random variables
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
• On the law of the iterated logarithm for inter-record times
• A limit theorem for inter-record times
• On record values and record times
• On the law of the iterated logarithm

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