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.
|Number of pages||17|
|Journal||Journal of Statistical Planning and Inference|
|Publication status||Published - 5 Jan 1998|
- Asymptotic variance
- Buffon needle
- Grid density
- Regular tilings