Stirling's Formula and Its Extensions: Heuristic Approaches

DOI10.1080/03610920902833537zbMath1190.62021OpenAlexW2008155015MaRDI QIDQ3566553

Debanjan Bhattacharjee, Nitis Mukhopadhyay

Publication date: 8 June 2010

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920902833537

zbMATH Keywords

gamma functionbinomial coefficientnormal approximationmultinomial coefficientfactorialStirling's approximationaccuracy of approximationsnegative binomial coefficient

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (3)

Stirling's formula for gamma functions, bounds for ratios of gamma functions, beta functions and percentiles of a studentized sample mean: a synthesis with new results ⋮ On asymptotic and strict monotonicity of a sharper lower bound for Student's \(t\) percentiles ⋮ On Sharp Jensen's Inequality and Some Unusual Applications

Cites Work

• A Remark on Stirling's Formula
• An Elementary Proof of Stirling's Formula
• A Direct Proof of Stirling's Formula
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