Information in Buffon experiments

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

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    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
    Issue number1
    Publication statusPublished - 5 Jan 1998


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


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