RANDOM CHORD IN A CIRCLE AND BERTRAND'S PARADOX: NEW GENERATION METHOD, EXTREME BEHAVIOUR AND LENGTH MOMENTS

DOI10.4134/BKMS.b200345zbMath1473.60032OpenAlexW3139984761MaRDI QIDQ4991391

Zoran Vidovi'C

Publication date: 3 June 2021

Full work available at URL: https://koreascience.or.kr:443/article/JAKO202112354514137.pdf

zbMATH Keywords

rate of convergencerecordsnew solutionBertrand's paradox

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Extreme value theory; extremal stochastic processes (60G70)

Uses Software

• R

Cites Work

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• Records via probability theory
• Extremes and related properties of random sequences and processes
• On characterizations of distributions via moments of record values
• On the Bertrand paradox
• \(U\)-max-statistics and limit theorems for perimeters and areas of random polygons
• Limit theorems for record values using power normalization
• Limit laws for record values
• Solving the hard problem of Bertrand's paradox
• On Bertrand's paradox
• A Study of Mathematical Determination through Bertrand’s Paradox
• Bertrand's paradox revisited.

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