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On the distribution of functionals of discrete ordinal variables


  • Cerchiello, Paola
  • Giudici, Paolo


We treat the topic of the distribution of functionals of discrete ordinal variables. We focus on the probability mass functions of several summary measures and of two important L-estimators that can be profitably used in data analysis. What is proposed is illustrated by means of a practical application in customer satisfaction.

Suggested Citation

  • Cerchiello, Paola & Giudici, Paolo, 2012. "On the distribution of functionals of discrete ordinal variables," Statistics & Probability Letters, Elsevier, vol. 82(11), pages 2044-2049.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:2044-2049
    DOI: 10.1016/j.spl.2012.07.002

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    References listed on IDEAS

    1. Ciardo, Gianfranco & Leemis, Lawrence M. & Nicol, David, 1995. "On the minimum of independent geometrically distributed random variables," Statistics & Probability Letters, Elsevier, vol. 23(4), pages 313-326, June.
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    Cited by:

    1. Paola Cerchiello & Paolo Giudici, 2016. "How to measure the quality of financial tweets," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(4), pages 1695-1713, July.
    2. Paola Cerchiello & Paolo Giudici, 2013. "Bayesian Credit Ratings (new version)," DEM Working Papers Series 030, University of Pavia, Department of Economics and Management.
    3. Paola Cerchiello & Paolo Giudici, 2013. "H Index: A Statistical Proposal," DEM Working Papers Series 039, University of Pavia, Department of Economics and Management.
    4. repec:spr:scient:v:99:y:2014:i:2:d:10.1007_s11192-013-1194-2 is not listed on IDEAS
    5. Donata Marasini & Piero Quatto, 2014. "A characterization of linear satisfaction measures," METRON, Springer;Sapienza Università di Roma, vol. 72(1), pages 17-23, April.
    6. Paola Cerchiello & Paolo Giudici, 2015. "A Bayesian h-index: how to measure research impact," DEM Working Papers Series 102, University of Pavia, Department of Economics and Management.


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