Generalized limit theorems forU-max statistics

DOI10.1017/jpr.2021.94OpenAlexW3091988273WikidataQ113858290 ScholiaQ113858290MaRDI QIDQ5868530

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Publication date: 21 September 2022

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

Full work available at URL: https://arxiv.org/abs/2010.04460

zbMATH Keywords

Weibull distributionPoisson approximation\(U\)-max statisticsrandom arearandom perimeter

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Statistics of extreme values; tail inference (62G32)

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Cites Work

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• Mathematical analysis I. Translated from the 4th and 6th Russian editions by Roger Cooke and Octavio T. Paniagua
• \(U\)-max-statistics
• Ellipsoidal calculus for estimation and control
• Real analysis: measures, integrals and applications
• Limit theorems for the generalized perimeters of random inscribed polygons. II
• Limit theorems for generalized perimeters of random inscribed polygons. I
• Limit theorems for areas and perimeters of random inscribed and circumscribed polygons
• \(U\)-max-statistics and limit theorems for perimeters and areas of random polygons
• On the sum of distances determined by a pointset
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Short distances, flat triangles and Poisson limits
• A Class of Statistics with Asymptotically Normal Distribution
• The Theory of Unbiased Estimation