Characterization of the cubic exponential families by orthogonality of polynomials

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dc.creatorHassairi, Abdelhamid
dc.creatorZarai, Mohammed
dc.date2004-10-06
dc.date2005-09-01
dc.date.accessioned2026-07-07T05:12:59Z
dc.date.available2026-07-07T05:12:59Z
dc.descriptionThis paper introduces a notion of 2-orthogonality for a sequence of polynomials to give extended versions of the Meixner and Feinsilver characterization results based on orthogonal polynomials. These new versions subsume the Letac-Mora characterization of the real natural exponential families having cubic variance function.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117904000000522 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0410167
dc.identifierhttp://arxiv.org/abs/math/0410167
dc.identifierAnnals of Probability 2004, Vol. 32, No. 3, 2463-2476
dc.identifierdoi:10.1214/009117904000000522
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72783
dc.subjectProbability
dc.subject60J15 (Primary) 60E10. (Secondary)
dc.titleCharacterization of the cubic exponential families by orthogonality of polynomials
dc.typetext

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