Célestin C. Kokonendji

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It has been shown that the uniformly minimum variance unbiased (UMVU) esti-mator of the generalized variance always exists for any natural exponential family. In practice, however, this estimator is often di¢ cult to obtain. This paper explicitly identi…es the results in complete bivariate and symmetric multivariate gamma models, which are diagonal(More)
In this paper we introduce the Hinde-Demétrio (HD) regression models for analyzing overdispersed count data and, mainly, investigate the e¤ect of dispersion parameter. The HD distributions are discrete additive exponential dispersion models (depending on canonical and dispersion parameters) with a third real index parameter p and have been characterized by(More)
Transorthogonality for a sequence of polynomials on R d has been recently introduced in order to characterize the reference probability measures, which are multivariate distributions of the natural exponential families (NEFs) having a simple cubic variance function. The present paper pursues this characterization of three various manners through exponential(More)
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