\(U\)-max-statistics and limit theorems for perimeters and areas of random polygons

DOI10.1016/j.jmva.2014.02.006zbMath1293.60032arXiv1301.1360OpenAlexW2036834731MaRDI QIDQ2443258

E. V. Koroleva, Yakov Yu. Nikitin

Publication date: 7 April 2014

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1360

zbMATH Keywords

inscribed polygoncircumscribed polygon\(U\)-max statisticsrandom arearandom perimeter

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Central limit and other weak theorems (60F05) Statistics of extreme values; tail inference (62G32)

Related Items

Extremal random beta polytopes, RANDOM CHORD IN A CIRCLE AND BERTRAND'S PARADOX: NEW GENERATION METHOD, EXTREME BEHAVIOUR AND LENGTH MOMENTS, Limit theorems for generalized perimeters of random inscribed polygons. I, On the average perimeter of the inscribed random polygon, Limit theorems for areas and perimeters of random inscribed and circumscribed polygons, Limit theorems for the generalized perimeters of random inscribed polygons. II, Generalized limit theorems forU-max statistics

Cites Work

• \(U\)-max-statistics
• Short distances, flat triangles and Poisson limits
• A Class of Statistics with Asymptotically Normal Distribution
• The Theory of Unbiased Estimation
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