Mixture of the Riesz distribution with respect to the generalized multivariate gamma distribution

Journal of the Korean Statistical Society - Tập 42 - Trang 83-93 - 2013
Mahdi Louati1
1Laboratory of Probability and Statistics, Sfax Faculty of Sciences, B.P. 1171, Tunisia

Tài liệu tham khảo

Andersson, 2010, On Riesz and Wishart distributions associated with decomposable undirected graphs, Journal of Multivariate Analysis, 101, 789, 10.1016/j.jmva.2009.12.005

Bar-Lev, 1994, The diagonal multivariate natural exponential families and their classification, Journal of Theoretical Probability, 7, 883, 10.1007/BF02214378

Faraut, 1994

Feller, 1971

Ferrari, 2007, Exponential families of mixed Poisson distributions, Journal of Multivariate Analysis, 98, 1283, 10.1016/j.jmva.2006.03.005

Gindikin, 1964, Analysis on homogeneous domains, Russian Mathematical Surveys, 19, 1, 10.1070/RM1964v019n04ABEH001153

Griffiths, 1984, Characterization of infinite divisible multivariate gamma distributions, Journal of Multivariate Analysis, 15, 13, 10.1016/0047-259X(84)90064-2

Hassairi, 2001, Riesz exponential families on symmetric cones, Journal of Theoretical Probability, 14, 927, 10.1023/A:1012592618872

Hassairi, 2009, Multivariate stable exponential families and Tweedie scale, Journal of Statistical Planning and Inference, 139, 143, 10.1016/j.jspi.2008.04.003

Laird, 1978, Nonparametric maximum likelihood estimation of a mixing distribution, Journal of American Statistical Association, 73, 805, 10.1080/01621459.1978.10480103

Letac, 1991

Seshadri, 1991, Finite mixtures of natural exponential families, Canadian Journal of Statistics, 19, 437, 10.2307/3315433

Veleva, 2011, Properties of the Bellman gamma distribution, Pliska Studia Mathematica Bulgarica, 20, 221

Veleva, E. (2009a). Stochastic representations of the Bellman gamma distribution. In Proceeding of international conference on theory and applications in mathematics and informatics, ICTAMI 2009. Alba Iulia, Romania. (pp. 463–474).