Inequalities for the median of the gamma distribution

DOI10.1016/j.cam.2009.06.024zbMath1185.26034OpenAlexW2009319916MaRDI QIDQ843155

José A. Adell, Horst Alzer

Publication date: 29 September 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.06.024

zbMATH Keywords

medianGamma distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Inequalities for sums, series and integrals (26D15)

Related Items (2)

The median of gamma distribution and a related Ramanujan sequence ⋮ A refined continuity correction for the negative binomial distribution and asymptotics of the median

Cites Work

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• Bounds for the difference between median and mean of gamma and Poisson distributions
• Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence
• On Ramanujan's \(Q\)-function
• Sharp estimates for the median of the \(\Gamma\)(\(n\)+1,1) distribution
• A convexity property of the median of the gamma distribution
• On a Ramanujan equation connected with the median of the gamma distribution
• On the Medians of Gamma Distributions and an Equation of Ramanujan
• On some inequalities for the gamma and psi functions
• Proof of the Chen–Rubin conjecture

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