A study on the negative binomial distribution motivated by Chvátal’s theorem

Author:

Guo Zheng-Yan,Tao Ze-Yu,Hu Ze-Chun

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Reference9 articles.

1. On the Chvátal-Janson conjecture;Barabesi;Statist. Probab. Lett.,2023

2. An elementary analysis of the probability that a binomial random variable exceeds its expectation;Doerr;Statist. Probab. Lett.,2018

3. Tight lower bound on the probability of a binomial exceeding its expectation;Greenberg;Statist. Probab. Lett.,2014

4. The infimum values of the probability functions for some infinitely divisible distributions motivated by Chvátal’s theorem;Hu,2023

5. On the probability that a binomial variable is at most its expectation;Janson;Statist. Probab. Lett.,2021

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