On a Ramanujan equation connected with the median of the gamma distribution

DOI10.1090/S0002-9947-07-04411-XzbMath1151.41021OpenAlexW1964532465WikidataQ56157259 ScholiaQ56157259MaRDI QIDQ3508033

Pedro Jodrá, José A. Adell

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04411-x

zbMATH Keywords

central limit theoremmedianPoisson processgamma distributionCharlier polynomialsforward differenceRamanujan's equation

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (6)

Inequalities for the median of the gamma distribution ⋮ The median of gamma distribution and a related Ramanujan sequence ⋮ A refined continuity correction for the negative binomial distribution and asymptotics of the median ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Approximation of the median of the gamma distribution ⋮ Logarithmic concavity of the inverse incomplete beta function with respect to the first parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Chen-Rubin conjecture in a continuous setting
• 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
• Sharp estimates in signed Poisson approximation of Poisson mixtures
• Improvements in the Poisson approximation of mixed Poisson distributions
• On Ramanujan's \(Q\)-function
• Sharp estimates for the median of the \(\Gamma\)(\(n\)+1,1) distribution
• Monotonic approach to central limits
• On a generalisation of a result of Ramanujan connected with the exponential series
• On the Medians of Gamma Distributions and an Equation of Ramanujan
• Taylor's formula and preservation of generalized convexity for positive linear operators
• On Ramanujan's Inequalities for exp( k )
• Proof of the Chen–Rubin conjecture
• The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan
• An Inequality on Poisson Probabilities

This page was built for publication: On a Ramanujan equation connected with the median of the gamma distribution