A characterization of multivariate normal stable Tweedie models and their associated polynomials

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TitreA characterization of multivariate normal stable Tweedie models and their associated polynomials
Type de publicationJournal Article
Year of Publication2015
AuteursKokonendji CC, Sembona CCMoypemn, Rainaldy JSioke
JournalJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume288
Pagination159-168
Date PublishedNOV
Type of ArticleArticle
ISSN0377-0427
Mots-clésnatural exponential family, Pseudo-orthogonality, symmetric matrix, Variance function
Résumé

Multivariate normal stable Tweedie models are recently introduced as an extension to normal gamma and normal inverse Gaussian models. The aim of this paper is to characterize these models through their variance functions. Then, according to the power variance parameter values, the nature of polynomials associated with these models is deduced. (C) 2015 Elsevier B.V. All rights reserved.

DOI10.1016/j.cam.2015.04.017