Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence
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Publication:1395944
DOI10.3150/bj/1068128981zbMath1015.62007OpenAlexW2109263439MaRDI QIDQ1395944
Publication date: 7 August 2003
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3150/bj/1068128981
Characterization and structure theory of statistical distributions (62E10) Special sequences and polynomials (11B83)
Related Items (16)
On geometric properties of the generating function for the Ramanujan sequence ⋮ Inequalities for the median of the gamma distribution ⋮ Behavior of binomial distribution near its median ⋮ Monotonicity properties of the gamma family of distributions ⋮ The median of gamma distribution and a related Ramanujan sequence ⋮ The median of the number of simple paths on three vertices in the random graph ⋮ On a Ramanujan equation connected with the median of the gamma distribution ⋮ A refined continuity correction for the negative binomial distribution and asymptotics of the median ⋮ Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear loss ⋮ A Bernstein function related to Ramanujan's approximations of \(\exp(n)\) ⋮ On the complete monotonicity of a Ramanujan sequence connected with \(e^{ n }\) ⋮ Convexity of the median in the gamma distribution ⋮ On monotonicity of Ramanujan function for binomial random variables ⋮ Sharp estimates for the median of the \(\Gamma\)(\(n\)+1,1) distribution ⋮ A convexity property of the median of the gamma distribution ⋮ Logarithmic concavity of the inverse incomplete beta function with respect to the first parameter
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