Summary
Bounds are obtained for the median of the negative binomial distribution which are valid for all possible parameter values of the distribution when the median is defined as inf {x: P(X≤x)≥1/2}.
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References
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van de Ven, R., Weber, N.C. Bounds for the median of the negative binomial distribution. Metrika 40, 185–189 (1993). https://doi.org/10.1007/BF02613677
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DOI: https://doi.org/10.1007/BF02613677