109428 20230526092852.0 doi 10.57805/revstat.v19i1.336 sideral 125508 ART-2021-125508 eng Jiménez Torres, Fernando Universidad de Zaragoza (orcid)0000-0002-1554-2414 Proof of conjectures on the standard deviation, skewness and kurtosis of the shifted Gompertz distribution 2021 Access copy available to the general public Unrestricted Three conjectures on the standard deviation, skewness and kurtosis of the shifted Gompertz distribution, as the shape parameter increases to +∞, are proved. In this regard, the exponential integral function and polygamma functions are used in the proofs. In addition, an explicit expression for the ith moment of this probabilistic model is obtained. These results allow to place the shifted Gompertz distribution in the Skewness–Kurtosis diagram, providing a valuable help in the decision to choose the shifted Gompertz distribution among the models to fit data. Their usefulness is illustrated by fitting a real malaria data set using the maximum likelihood method for estimating the parameters of the shifted Gompertz distribution and some classical models. Goodness-of-fit measures are used to compare their performance. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.985 2021 STATISTICS & PROBABILITY 101 / 125 = 0.808 2021 Q4 T3 0.352 2021 Statistics and Probability 2021 Q3 1.5 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 19, 1 (2021), 131-143 REVSTAT-STATISTICAL JOURNAL REVSTAT-STATISTICAL JOURNAL 1645-6726 280539 http://zaguan.unizar.es/record/109428/files/texto_completo.pdf Versión publicada 1104268 http://zaguan.unizar.es/record/109428/files/texto_completo.jpg?subformat=icon icon Versión publicada https://www.ine.pt/revstat/pdf/REVSTAT_v19-n1-09.pdf Texto completo de la revista oai:zaguan.unizar.es:109428 articulos driver 2023-05-26-08:13:36 ARTICLE