Removing magic from the normal distribution and the Stirling and Wallis formulas

DOI10.1007/s00283-011-9259-7zbMath1237.60014OpenAlexW2037990714MaRDI QIDQ660175

Juan-Miguel Gracia

Publication date: 29 January 2012

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-011-9259-7

zbMATH Keywords

normal distributionStirling formulaWallis formula

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Probability theory (educational aspects) (97K50)

Cites Work

• New improvements of the Stirling formula
• \(e\): the master of all
• New closed-form approximations to the logarithmic constant \(e\)
• Stirling's Approximation for n!: The Ultimate Short Proof?
• A Probabilistic Proof of Wallis's Formula for π
• A Remark on Stirling's Formula
• A Faster Product for $\pi$ and a New Integral for ln $\frac{\pi}{2}$
• Simple and clear proofs of Stirling's formula
• The wallis formula for PI, including two new expressions involving irrationals
• An Elementary Proof of Stirling's Formula
• A Direct Proof of Stirling's Formula
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