On monotonicity of Ramanujan function for binomial random variables

Author:

Dmitriev Daniil,Zhukovskii Maksim

Funder

Ministry of Science and Higher Education of the Russian Federation

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference14 articles.

1. Monotonicity of the difference between median and mean of gamma distributions and of a related Ramanujan sequence;Alm;Bernoulli,2003

2. On Ramanujan’s inequalities for exp(k);Alzer;J. Lond. Math. Soc.,2004

3. The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan;Cheng;Bull. Amer. Math. Soc.,1949

4. On the medians of Gamma distributions and an equation of Ramanujan;Choi;Proc. Amer. Math. Soc.,1994

5. On sums of independent random variables with unbounded variance and estimating the average degree in a graph;Feige;SIAM J. Comput.,2006

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1. On the monotonicity of tail probabilities;Probability and Mathematical Statistics;2022

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