Information in Buffon experiments

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

*Corresponding author for this work

    Research output: Contribution to journalArticle

    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 languageEnglish
    Pages (from-to)21-37
    Number of pages17
    JournalJournal of Statistical Planning and Inference
    Volume66
    Issue number1
    Publication statusPublished - 5 Jan 1998

    Keywords

    • Asymptotic variance
    • Buffon needle
    • Efficiency
    • Grid density
    • Information
    • Regular tilings

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  • Cite this

    Robertson, J. M., & Wood, G. R. (1998). Information in Buffon experiments. Journal of Statistical Planning and Inference, 66(1), 21-37.