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A convexity property of the median of the gamma distribution

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  • Alzer, Horst

Abstract

Let [lambda]n be the median of the gamma distribution of order n+1 with parameter 1. We prove that the sequence {[lambda]n} is strictly convex for .

Suggested Citation

  • Alzer, Horst, 2006. "A convexity property of the median of the gamma distribution," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1510-1513, August.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:14:p:1510-1513
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    References listed on IDEAS

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    1. Chen, Jeesen & Rubin, Herman, 1986. "Bounds for the difference between median and mean of gamma and poisson distributions," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 281-283, October.
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    Cited by:

    1. Frédéric Ouimet, 2023. "A refined continuity correction for the negative binomial distribution and asymptotics of the median," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(7), pages 827-849, October.

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