caa a22 4500 477062911 CHVBK 20180405111406.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00050855 doi (NATIONALLICENCE)springer-10.1007/BF00050855 Characterizations based on conditional expectations of the doubled truncated distribution [Elektronische Daten] [J. Ruiz, J. Navarro] The expression of the continuous distribution function F(x) is obtained whenever % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiGc9yrFr0xXdbba91rFfpec8Eeeu0x% Xdbba9frFj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs% 0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaadaqaaqGaaO% qaaerbhv2BYDwAHbacfiGaa8xBaiaabIcacaWG4bGaaiilaiaadMha% caqGPaGaa8hiaiaab2dacaWFGaGaa8xraiaa-HcacaWFybGaa8hiai% aa-XhacaWFGaGaa8hEaiaa-bcacqGHKjYOcaWFGaGaa8hwaiaa-bca% cqGHKjYOcaWFGaGaa8xEaiaa-Lcaaaa!53EE!\[m{\rm{(}}x,y{\rm{)}} {\rm{ = }} E(X | x \le X \le y)\]is known. Moreover, we obtain the necessary and sufficient conditions so that any function m: ℝ2 → ℝ is the conditional expectation % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D% aebbfv3ySLgzGueE0jxyaibaiGc9yrFr0xXdbba91rFfpec8Eeeu0x% Xdbba9frFj0-OqFfea0dXdd9vqaq-JfrVkFHe9pgea0dXdar-Jb9hs% 0dXdbPYxe9vr0-vr0-vqpWqaaeaabiGaciaacaqabeaadaqaaqGaaO% qaaiaadweacaGGOaGaamiwaerbhv2BYDwAHbacfiGaa8hiaiaacYha% caWFGaGaa8hEaiaa-bcacqGHKjYOcaWFGaGaa8hwaiaa-bcacqGHKj% YOcaWFGaGaa8xEaiaacMcaaaa!4D0D!\[E(X | x \le X \le y)\]of a random variable X with continuous distribution function. Furthermore, we relate m(x,y) to order statistics. Kluwer Academic Publishers, 1996 Characterizations nationallicence doubled truncated distribution nationallicence conditional expectations nationallicence mean residual life nationallicence order statistics nationallicence Ruiz J. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain aut Navarro J. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain aut Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 563-572 0020-3157 48:3<563 1996 48 10463 https://doi.org/10.1007/BF00050855 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050855 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ruiz J. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain aut NATIONALLICENCE 700 1- Navarro J. Departamento de Matemática Aplicada y Estadística, Universidad de Murcia, 30100, Murcia, Spain aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 563-572 0020-3157 48:3<563 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer