Abstract

The beautiful representation of π by Wallis's product formula has attracted many authors who have given a variety of proofs (see [1, 2, 3, 4, 5, 6, 7]). The purpose of this note is to revisit some elementary derivations with a focus on probabilistic/statistical flavours of this formula. The famous Wallis's product formula for is given byThere are a number proofs available for this formula scattered in the literature. Here we will concentrate on the probabilistic nature of this formula.

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