Information in Buffon experiments

J. M. Robertson; G. R. Wood

Information in Buffon experiments

J. M. Robertson, G. R. Wood^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Buffon needle experiments have long been used to estimate π. In this paper we analyse two Buffon grid types: grids consisting of a single bend in a segment, and star grids. We show that the simplest grids allow us to estimate π most efficiently. Our results build on earlier findings of Perlman and Wichura.

Original language	English
Pages (from-to)	21-37
Number of pages	17
Journal	Journal of Statistical Planning and Inference
Volume	66
Issue number	1
Publication status	Published - 5 Jan 1998

Keywords

Asymptotic variance
Buffon needle
Efficiency
Grid density
Information
Regular tilings

Cite this

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title = "Information in Buffon experiments",

abstract = "Buffon needle experiments have long been used to estimate π. In this paper we analyse two Buffon grid types: grids consisting of a single bend in a segment, and star grids. We show that the simplest grids allow us to estimate π most efficiently. Our results build on earlier findings of Perlman and Wichura.",

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AU - Wood, G. R.

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AB - Buffon needle experiments have long been used to estimate π. In this paper we analyse two Buffon grid types: grids consisting of a single bend in a segment, and star grids. We show that the simplest grids allow us to estimate π most efficiently. Our results build on earlier findings of Perlman and Wichura.

KW - Asymptotic variance

KW - Buffon needle

KW - Efficiency

KW - Grid density

KW - Information

KW - Regular tilings

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ER -

Information in Buffon experiments

Abstract

Keywords

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