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A counterexample concerning the extremal index

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Publication:3797964
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DOI10.2307/1427042zbMath0652.60044OpenAlexW4255857509MaRDI QIDQ3797964

Richard L. Smith

Publication date: 1988

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427042


zbMATH Keywords

counterexampleextremal indexmean cluster size


Mathematics Subject Classification ID

Stationary stochastic processes (60G10)


Related Items (9)

Cluster size distributions of extreme values for the Poisson-Voronoi tessellation ⋮ On limiting cluster size distributions for processes of exceedances for stationary sequences ⋮ Cluster distributions for dynamically defined point processes ⋮ Dynamical counterexamples regarding the extremal index and the mean of the limiting cluster size distribution ⋮ Inference for the limiting cluster size distribution of extreme values ⋮ Asymptotic \((r-1)\)-dependent representation for \(r\)th order statistic from a stationary sequence ⋮ Limiting entry and return times distribution for arbitrary null sets ⋮ Clustering indices and decay of correlations in non-Markovian models ⋮ Clustering of extreme events created by multiple correlated maxima







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