A probabilistic approach to Wallis’ formula |
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Authors: | Zhengyuan Wei Juan Li Xiaoyang Zheng |
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Institution: | School of Science, Chongqing University of Technology, Chongqing, PR China |
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Abstract: | We present an alternative proof of Wallis’ formula from the probabilistic point of view. Based on the classical central limit theorem, some discrete distributions with additive property, such as binomial, negative binomial, Poisson and multinomial distributions, are considered to derive π/2. |
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Keywords: | Central limit theorem normal approximation Wallis’ formula |
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