Characterizations of probability distributions via bivariate regression of record values

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dc.creatorYanev, George P.
dc.creatorAhsanullah, M.
dc.creatorBeg, M. I.
dc.date2007-07-27
dc.date.accessioned2026-07-07T08:20:44Z
dc.date.available2026-07-07T08:20:44Z
dc.descriptionBairamov 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.
dc.descriptionaccepted in Metrika
dc.identifierhttps://arxiv.org/abs/0707.4121
dc.identifierhttp://arxiv.org/abs/0707.4121
dc.identifierdoi:10.1007/s00184-007-0142-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135154
dc.subjectProbability
dc.subject60G70, 60E05
dc.titleCharacterizations of probability distributions via bivariate regression of record values
dc.typetext

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