On moments and entropy of the gamma-Gompertz distribution

• Fredy Castellares ^[1] ; ArturJ. Lemonte ^[2]
  1. [1] Universidade Federal de Minas Gerais

     Universidade Federal de Minas Gerais

     Brasil

     
  2. [2] Universidade Federal do Rio Grandedo Norte, Brasil
• Localización: Spanish journal of statistics, ISSN-e 2695-9070, Nº. 4, 2023, págs. 73-79
• Idioma: inglés
• DOI: 10.37830/SJS.2022.1.05
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• Resumen

  • The three-parameter gamma-Gompertz family of distributions was introduced recently in the literature. We verify that the analytical expressions provided for the ordinary moments and Shannon entropy are not correct and hence cannot be used for computing such quantities. We derive two closed-form expressions for the mean and a closed-form expression for the Shannon entropy in terms of the Whittaker function.