000109428 001__ 109428
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000109428 0248_ $$2sideral$$a125508
000109428 0247_ $$2doi$$a10.57805/revstat.v19i1.336
000109428 037__ $$aART-2021-125508
000109428 041__ $$aeng
000109428 100__ $$0(orcid)0000-0002-1554-2414$$aJiménez Torres, Fernando$$uUniversidad de Zaragoza
000109428 245__ $$aProof of conjectures on the standard deviation, skewness and kurtosis of the shifted Gompertz distribution
000109428 260__ $$c2021
000109428 5060_ $$aAccess copy available to the general public$$fUnrestricted
000109428 5203_ $$aThree 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.
000109428 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000109428 590__ $$a0.985$$b2021
000109428 592__ $$a0.352$$b2021
000109428 594__ $$a1.5$$b2021
000109428 591__ $$aSTATISTICS & PROBABILITY$$b101 / 125 = 0.808$$c2021$$dQ4$$eT3
000109428 593__ $$aStatistics and Probability$$c2021$$dQ3
000109428 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000109428 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000109428 773__ $$g19, 1 (2021), 131-143$$pREVSTAT-STATISTICAL JOURNAL$$tREVSTAT-STATISTICAL JOURNAL$$x1645-6726
000109428 85641 $$uhttps://www.ine.pt/revstat/pdf/REVSTAT_v19-n1-09.pdf$$zTexto completo de la revista
000109428 8564_ $$s280539$$uhttps://zaguan.unizar.es/record/109428/files/texto_completo.pdf$$yVersión publicada
000109428 8564_ $$s1104268$$uhttps://zaguan.unizar.es/record/109428/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000109428 909CO $$ooai:zaguan.unizar.es:109428$$particulos$$pdriver
000109428 951__ $$a2023-05-26-08:13:36
000109428 980__ $$aARTICLE