Behavior of binomial distribution near its median
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Publication:2155328
DOI10.1134/S1064562422020193OpenAlexW4286652279MaRDI QIDQ2155328
N. A. Volkov, D. I. Dmitriev, M. E. Zhukovskii
Publication date: 15 July 2022
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562422020193
medianbinomial distributionRamanujan functionsmall deviations of sums of independent random variables
Distribution theory (60Exx) Elementary classical functions (33Bxx) Statistical distribution theory (62Exx)
Cites Work
- Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence
- The smallest uniform upper bound on the distance between the mean and the median of the binomial and Poisson distributions
- On Ramanujan's \(Q\)-function
- On the Medians of Gamma Distributions and an Equation of Ramanujan
- On Ramanujan's Inequalities for exp( k )
- Monotone Convergence of Binomial Probabilities and a Generalization of Ramanujan's Equation
- On a Chebyshev-Type Inequality for Sums of Independent Random Variables
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