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Bounds for the difference between median and mean of beta and negative binomial distributions

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Summary

We obtain bounds for the difference between the median and mean of the beta and negative binomial distributions using elementary methods.

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References

  • Chen J, Rubin H (1986) Bounds for the difference between median and mean of gamma and Poisson distributions. Statistics and Probability Letters 4: 281–283

    Article  MATH  MathSciNet  Google Scholar 

  • Doodson AT (1917) Relation of the mode, median and mean in frequency curves. Biometrika 11: 425–429

    Google Scholar 

  • Groeneveld RA, Meeden G (1977) The mode, median, and mean inequality. The American Statistician 31:120–121

    Article  MathSciNet  Google Scholar 

  • Patil GP (1960) On evaluation of negative binomial distribution function. Ann Math Stat 31:527

    Google Scholar 

  • Pearson K, Fieller EC (1933) On the applications of the double bessel function to statistical problems. Biometrika 25:158–178

    MATH  Google Scholar 

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Payton, M.E., Young, L.J. & Young, J.H. Bounds for the difference between median and mean of beta and negative binomial distributions. Metrika 36, 347–354 (1989). https://doi.org/10.1007/BF02614111

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  • DOI: https://doi.org/10.1007/BF02614111

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