The strong approximation of extremal processes

DOI10.1007/BF00536191zbMath0464.60029OpenAlexW4238726699MaRDI QIDQ3915709

Paul Deheuvels

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00536191

Mathematics Subject Classification ID

Strong limit theorems (60F15) Convergence of probability measures (60B10)

Related Items (11)

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 ⋮ Simultaneous joint lower and upper record values probability laws for absolutely continuous or discrete data ⋮ A STOCHASTIC PROCESS THAT IS AUTOREGRESSIVE IN TWO DIRECTIONS OF TIME. ⋮ Strong approximation of the number of renewal paced record times ⋮ Extremal point processes and intermediate quantile functions ⋮ Strong approximation of maxima by extremal processes ⋮ Embedding in extremal processes and the asymptotic behavior of sums of minima ⋮ The complete characterization of the upper and lower class of the record and inter-record times of an I.I.D. sequence ⋮ The strong approximation of extremal processes (II) ⋮ Upper bounds for k-th maximal spacings

Cites Work

• An almost sure invariance principle for the partial sums of infima of independent random variables
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
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