%0 Journal Article %T Asymptotic tail properties of the distributions in the class of dispersion models %A Alexandre B. Simas %A Gauss M. Cordeiro %A Saralees Nadarajah %J Mathematics %D 2008 %I arXiv %X The class of dispersion models introduced by J{\o}rgensen (1997b) covers many known distributions such as the normal, Student t, gamma, inverse Gaussian, hyperbola, von-Mises, among others. We study the small dispersion asymptotic (J{\o}rgensen, 1987b) behavior of the probability density functions of dispersion models which satisfy the uniformly convergent saddlepoint approximation. Our results extend those obtained by Finner et al. (2008). %U http://arxiv.org/abs/0809.1840v1