Random circumscribing polygons and approximations of \(\pi\)

DOI10.1016/j.spl.2015.06.026zbMath1397.60026OpenAlexW2167321687MaRDI QIDQ900530

Wen-Qing Xu

Publication date: 22 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.06.026

zbMATH Keywords

central limit theoremsasymptotic convergenceapproximations of \(\pi\)Archimedean polygonsrandom circumscribing polygons

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items

Random cyclic polygons from Dirichlet distributions and approximations of \(\pi\) ⋮ Nonlinear extrapolation estimates of \(\pi\) ⋮ Random polygons and estimations of \(\pi\)

Cites Work

• On the polygon generated by \(n\) random points on a circle
• Survey of Extrapolation Processes in Numerical Analysis
• On a Class of Problems Related to the Random Division of an Interval
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