000164107 001__ 164107 000164107 005__ 20251121161351.0 000164107 0247_ $$2doi$$a10.1002/asmb.70055 000164107 0248_ $$2sideral$$a146257 000164107 037__ $$aART-2025-146257 000164107 041__ $$aeng 000164107 100__ $$0(orcid)0000-0002-6651-3306$$aBadía, F. G.$$uUniversidad de Zaragoza 000164107 245__ $$aOn the Properties of the Weighted Mean Residual Life in Mixtures 000164107 260__ $$c2025 000164107 5060_ $$aAccess copy available to the general public$$fUnrestricted 000164107 5203_ $$aThis paper focuses on the weighted mean residual life (WMRL) in mixtures of time to failure distributions. WMRL is an aging index that accounts for transformations of nonnegative random variables. The time to failure of systems operating under changing environments is described by mixtures of distributions that capture the corresponding random effects. This study analyzes the preservation by mixtures of aging properties based on the WMRL and bending properties. The latter compare the WMRL of the mixture and the expected value of the WMRL of the distributions therein. We also analyze the combined effect of a frailty and lifetime functions in the case of mixtures following the proportional WMRL model. The results reveal the improved behavior in the WMRL of mixtures with respect to that in the sub-populations in the mixture. This pattern is relevant for the maintenance of systems. 000164107 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/PID2021-123737NB-I00 000164107 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es 000164107 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000164107 700__ $$0(orcid)0000-0002-8035-5762$$aBerrade Ursúa, M. D.$$uUniversidad de Zaragoza 000164107 700__ $$aCha, J. H. 000164107 700__ $$aLee, H. 000164107 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000164107 773__ $$g41, 6 (2025), [11 pp.]$$pAppl. stoch. models bus. ind.$$tAPPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY$$x1524-1904 000164107 8564_ $$s466698$$uhttps://zaguan.unizar.es/record/164107/files/texto_completo.pdf$$yVersión publicada 000164107 8564_ $$s2420907$$uhttps://zaguan.unizar.es/record/164107/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000164107 909CO $$ooai:zaguan.unizar.es:164107$$particulos$$pdriver 000164107 951__ $$a2025-11-21-14:26:38 000164107 980__ $$aARTICLE