A refined continuity correction for the negative binomial distribution and asymptotics of the median

Author:

Ouimet FrédéricORCID

Funder

Centre de Recherches Mathématiques

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Fonds Québécois de la Recherche sur la Nature et les Technologies

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference39 articles.

1. Abramowitz M, Stegun IA (1964) Handbook of mathematical functions with formulas, graphs, and mathematical tables. National Bureau of Standards Applied Mathematics Series, vol. 55. For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, DC. http://www.ams.org/mathscinet-getitem?mr=MR0167642

2. Adell JA, Alzer H (2009) Inequalities for the median of the gamma distribution. J Comput Appl Math 232(2):481–495

3. Adell JA, Jodrá P (2005) The median of the Poisson distribution. Metrika 61(3):337–346

4. Adell JA, Jodrá P (2005) Sharp estimates for the median of the $$\Gamma (n+1,1)$$ distribution. Stat Probab Lett 71(2):185–191

5. Adell JA, Jodrá P (2008) On a Ramanujan equation connected with the median of the gamma distribution. Trans Am Math Soc 360(7):3631–3644

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