000074999 001__ 74999 000074999 005__ 20200616135722.0 000074999 0247_ $$2doi$$a10.1016/j.jksus.2018.08.001 000074999 0248_ $$2sideral$$a107550 000074999 037__ $$aART-2018-107550 000074999 041__ $$aeng 000074999 100__ $$0(orcid)0000-0003-3694-5228$$aJodrá, P.$$uUniversidad de Zaragoza 000074999 245__ $$aA bounded distribution derived from the shifted Gompertz law 000074999 260__ $$c2018 000074999 5060_ $$aAccess copy available to the general public$$fUnrestricted 000074999 5203_ $$aA two-parameter probability distribution with bounded support is derived from the shifted Gompertz distribution. It is shown that this model corresponds to the distribution of the minimum of a random number with shifted Poisson distribution of independent random variables having a common power function distribution. Some statistical properties are written in closed form, such as the moments and the quantile function. To this end, the incomplete gamma function and the Lambert W function play a central role. The shape of the failure rate function and the mean residual life are studied. Analytical expressions are also provided for the moments of the order statistics and the limit behavior of the extreme order statistics is established. Moreover, the members of the new family of distributions can be ordered in terms of the hazard rate order. The parameter estimation is carried out by the methods of maximum likelihood, least squares, weighted least squares and quantile least squares. The performance of these methods is assessed by means of a Monte Carlo simulation study. Two real data sets are used to illustrate the usefulness of the proposed distribution. 000074999 536__ $$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R 000074999 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000074999 590__ $$a2.835$$b2018 000074999 591__ $$aMULTIDISCIPLINARY SCIENCES$$b21 / 69 = 0.304$$c2018$$dQ2$$eT1 000074999 592__ $$a0.434$$b2018 000074999 593__ $$aMultidisciplinary$$c2018$$dQ1 000074999 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000074999 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000074999 773__ $$g32, 13 (2018), 523 - 536$$tJournal of King Saud University - Science$$x1018-3647 000074999 8564_ $$s1352220$$uhttps://zaguan.unizar.es/record/74999/files/texto_completo.pdf$$yVersión publicada 000074999 8564_ $$s110674$$uhttps://zaguan.unizar.es/record/74999/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000074999 909CO $$ooai:zaguan.unizar.es:74999$$particulos$$pdriver 000074999 951__ $$a2020-06-16-13:50:30 000074999 980__ $$aARTICLE