2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/135154Bairamov et al. (Aust N Z J Stat 47:543-547, 2005) characterize the exponential distribution in terms of the regression of a function of a record value with its adjacent record values as covariates. We extend these results to the case of non-adjacent covariates. We also consider a more general setting involving monotone transformations. As special cases, we present characterizations involving weighted arithmetic, geometric, and harmonic means.accepted in MetrikaProbability60G70, 60E05text