Nonlinear random extrapolation estimates of \(\pi\) under Dirichlet distributions

We construct optimal nonlinear extrapolation estimates of \(\pi\) based on random cyclic polygons generated from symmetric Dirichlet distributions. While the semiperimeter \( S_n \) and the area \( A_n \) of such random inscribed polygons and the semiperimeter (and area) \( S_n' \) of the correspon...

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Hlavní autoři:	Shasha Wang, Zecheng Li, Wen-Qing Xu
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	Publishing House of the Romanian Academy 2023-12-01
Edice:	Journal of Numerical Analysis and Approximation Theory
Témata:	Random polygons Nonlinear extrapolations Dirichlet distribution Central limit theorems Cram\'{e}r's theorem
On-line přístup:	https://ictp.acad.ro/jnaat/journal/article/view/1360
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