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A generalized boxplot for skewed and heavy-tailed distributions

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  • Bruffaerts, Christopher
  • Verardi, Vincenzo
  • Vermandele, Catherine

Abstract

We define a new boxplot that can deal with skewed and/or heavy-tailed distributions and possible outliers. The methodology relies on a rank-preserving transformation that allows to fit a so-called Tukey g -and-h distribution.

Suggested Citation

  • Bruffaerts, Christopher & Verardi, Vincenzo & Vermandele, Catherine, 2014. "A generalized boxplot for skewed and heavy-tailed distributions," Statistics & Probability Letters, Elsevier, vol. 95(C), pages 110-117.
    • Handle: RePEc:eee:stapro:v:95:y:2014:i:c:p:110-117
    DOI: 10.1016/j.spl.2014.08.016
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    References listed on IDEAS

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    1. Hubert, M. & Vandervieren, E., 2008. "An adjusted boxplot for skewed distributions," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5186-5201, August.
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    3. Vincenzo Verardi, 2013. "Semiparametric regression in Stata," United Kingdom Stata Users' Group Meetings 2013 14, Stata Users Group.
    4. Muhammad Aslam Mohd Safari & Nurulkamal Masseran & Muhammad Hilmi Abdul Majid, 2020. "Robust Reliability Estimation for Lindley Distribution—A Probability Integral Transform Statistical Approach," Mathematics, MDPI, vol. 8(9), pages 1-21, September.
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    8. Funke, Benedikt & Hirukawa, Masayuki, 2021. "Bias correction for local linear regression estimation using asymmetric kernels via the skewing method," Econometrics and Statistics, Elsevier, vol. 20(C), pages 109-130.
    9. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & Hussain, Saiful Izzuan, 2021. "Measuring income inequality: A robust semi-parametric approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    10. Ghesla, Claus & Grieder, Manuel & Schmitz, Jan & Stadelmann, Marcel, 2020. "Pro-environmental incentives and loss aversion: A field experiment on electricity saving behavior," Energy Policy, Elsevier, vol. 137(C).

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