-Student distribution, Journal of Statistical Computation and Simulation, vol.41, issue.10, pp.1437-1447, 2012. ,
DOI : 10.1137/1.9780898718461
URL : https://hal.archives-ouvertes.fr/hal-00609087
Lévy Processes and Stochastic Calculus, 2009. ,
Use of the Generalized Variance and the Gradient Projection Method in Multivariate Stratified Sampling, Biometrics, vol.27, issue.1, pp.119-127, 1971. ,
DOI : 10.2307/2528931
Information and Exponential Families in Statistical Theory, 1978. ,
Normal Inverse Gaussian Distributions and Stochastic Volatility Modelling, Scandinavian Journal of Statistics, vol.24, issue.1, pp.1-13, 1997. ,
DOI : 10.1111/1467-9469.t01-1-00045
Processes of normal inverse Gaussian type, Finance and Stochastics, vol.2, issue.1, pp.41-68, 1998. ,
DOI : 10.1007/s007800050032
On normal stable Tweedie models and power-generalized variance functions of only one component, TEST, vol.4, issue.3, pp.585-606, 2014. ,
DOI : 10.1007/s11749-014-0363-9
The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian, Acta Mathematica, vol.155, issue.0, pp.261-301, 1985. ,
DOI : 10.1007/BF02392544
Improper affine hyperspheres of convex type and a generalization of a theorem by K. J??rgens., The Michigan Mathematical Journal, vol.5, issue.2, pp.105-126, 1958. ,
DOI : 10.1307/mmj/1028998055
The 2d + 4 simple quadratic natural exponential families on R d . The Annals of Statistics, pp.1828-1854, 1996. ,
DOI : 10.1214/aos/1032298298
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1032298298
On the Monge???Amp??re equation with boundary blow-up: existence, uniqueness and asymptotics, Calculus of Variations and Partial Differential Equations, vol.43, issue.2, pp.167-186, 2008. ,
DOI : 10.1007/s00526-007-0108-7
Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations, Illinois Journal of Mathematics, vol.31, pp.665-688, 1987. ,
On generalized variance of product of powered components and multiple stable Tweedie models Communications in Statistics ? Theory and Methods, 2016. ,
Simulations of full multivariate Tweedie with flexible dependence structure, Computational Statistics, vol.32, issue.4, pp.1477-1492, 2016. ,
DOI : 10.1007/s10182-015-0250-z
Non-uniform Random Variate Generation, 1986. ,
DOI : 10.1007/978-1-4613-8643-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.333.8896
R package 'tweedie'. Rapport technique, 2014. ,
Evaluation of Tweedie exponential dispersion model densities by??Fourier inversion, Statistics and Computing, vol.78, issue.1, pp.73-86, 2008. ,
DOI : 10.1007/s11222-007-9039-6
INVERSE GAUSSIAN CONTROL CHARTS, Australian Journal of Statistics, vol.28, issue.1, pp.78-84, 1989. ,
DOI : 10.1111/j.1467-842X.1989.tb00500.x
An Introduction to Probability Theory and its Applications, 1971. ,
A Poisson???Gamma model for analysis of ecological non-negative continuous data, Environmental and Ecological Statistics, vol.16, issue.2, pp.533-552, 2013. ,
DOI : 10.1007/s10651-012-0233-0
Economic Capital Allocations for Non-negative Portfolios of Dependent Risks, ASTIN Bulletin, vol.37, issue.02, pp.601-619, 2007. ,
DOI : 10.1111/j.1745-6622.1996.tb00117.x
Multivariate Tweedie distributions and some related capital-at-risk analyses, Insurance: Mathematics and Economics, vol.46, issue.2, pp.351-361, 2010. ,
DOI : 10.1016/j.insmatheco.2009.12.001
Characterization of multinomial exponential families by generalized variance, Statistics & Probability Letters, vol.80, issue.11-12, pp.939-944, 2010. ,
DOI : 10.1016/j.spl.2010.02.004
The Monge???Amp??re equation with infinite boundary value, Pacific Journal of Mathematics, vol.216, issue.1, pp.77-94, 2004. ,
DOI : 10.2140/pjm.2004.216.77
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.8701
The Monge-Ampère Equation, 2001. ,
La classification des familles exponentielles naturelles sur R n par l'action du groupe linéaire de R n+1 . Comptes-Rendus de l'Académie des Sciences de Paris, pp.207-210, 1992. ,
Les (d + 3) G-orbites de la classe de Morris-Mora de familles exponentielles de R d . Comptes-Rendus de l'Académie des Sciences de Paris, pp.887-890, 1993. ,
Generalized variance and exponential families. The Annals of Statistics, pp.374-385, 1999. ,
DOI : 10.1214/aos/1018031116
Estimation for the bivariate Poisson distribution, Biometrika, vol.51, issue.1-2, pp.241-287, 1964. ,
DOI : 10.1093/biomet/51.1-2.241
Viscosity solutions of fully nonlinear second-order elliptic partial differential equations, Journal of Differential Equations, vol.83, issue.1, pp.26-78, 1990. ,
DOI : 10.1016/0022-0396(90)90068-Z
URL : http://doi.org/10.1016/0022-0396(90)90068-z
Inferences on the ratio of two generalized variances: independent and correlated cases, Statistical Methods & Applications, vol.24, issue.3, pp.297-314, 2012. ,
DOI : 10.1007/s10260-012-0191-6
Multivariate Models and Dependence Concepts, 1997. ,
Discrete Multivariate Distributions, 1997. ,
???ber die L???sungen der Differentialgleichungrt?s 2=1, Mathematische Annalen, vol.117, issue.1, pp.130-134, 1954. ,
DOI : 10.1007/BF01361114
The Theory of Dispersion Models, 1997. ,
Construction of multivariate dispersion models, Brazilian Journal of Probability and Statistics, vol.27, issue.3, pp.285-309, 2013. ,
DOI : 10.1214/11-BJPS171
Multivariate exponential dispersion models éditeur : Multivariate Statistics: Theory and Applications, Proceedings of the IX Tartu Conference on Multivariate Statistics & XX International Workshop on Matrices and Statistics, pp.73-98, 2013. ,
Asymptotic behaviour of the variance function, Scandinavian Journal of Statistics, vol.21, pp.223-243, 1994. ,
Multifractality attributed to dual central limit-like convergence effects. Physica A: Statistical Mechanics and its Applications, pp.22-23, 2014. ,
DOI : 10.1016/j.physa.2014.01.022
noise, and multifractality, Physical Review E, vol.84, issue.6, p.66120, 2011. ,
DOI : 10.1103/PhysRevE.84.066120
A characterization of Poisson-Gaussian families by generalized variance, Bernoulli, vol.12, issue.2, pp.371-379, 2006. ,
DOI : 10.3150/bj/1145993979
On the Monge???Amp??re equation for characterizing gamma-Gaussian model, Statistics & Probability Letters, vol.83, issue.7, pp.1692-1698, 2013. ,
DOI : 10.1016/j.spl.2013.03.023
A characterization of multivariate normal stable Tweedie models and their associated polynomials, Journal of Computational and Applied Mathematics, vol.288, pp.159-168, 2015. ,
DOI : 10.1016/j.cam.2015.04.017
Estimateurs de la variance généralisée pour des familles exponentielles non gaussiennes. Comptes-Rendus de l'Académie des Sciences de Paris, pp.351-356, 2001. ,
DOI : 10.1016/s0764-4442(00)01817-6
Comparing UMVU and ML estimators of the generalized variance for natural exponential families, Statistics, vol.41, issue.6, pp.547-558, 2007. ,
DOI : 10.1080/02331880701442700
On the determinant of the second derivative of a Laplace transform, The Annals of Statistics, vol.24, issue.4, pp.1813-1827, 1996. ,
DOI : 10.1214/aos/1032298297
A Characterization of Poisson???Gaussian Families by Convolution-Stability, Journal of Multivariate Analysis, vol.81, issue.1, pp.120-127, 2002. ,
DOI : 10.1006/jmva.2001.1995
On Singular Boundary Value Problems for the Monge???Amp??re Operator, Journal of Mathematical Analysis and Applications, vol.197, issue.2, pp.341-362, 1996. ,
DOI : 10.1006/jmaa.1996.0024
Natural exponential families with cubic variance functions. The Annals of Statistics, pp.1-37, 1990. ,
DOI : 10.1214/aos/1176347491
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1176347491
Multivariate Normal ??-Stable Exponential Families, Mediterranean Journal of Mathematics, vol.39, issue.1, 2015. ,
DOI : 10.1007/s00009-015-0562-y
The Variance Gamma (V.G.) Model for Share Market Returns, The Journal of Business, vol.63, issue.4, pp.511-524, 1990. ,
DOI : 10.1086/296519
Natural exponential families with quadratic variance functions . The Annals of Statistics, pp.65-80, 1982. ,
DOI : 10.1214/aos/1176345690
URL : http://projecteuclid.org/download/pdf_1/euclid.aos/1176345690
Caractérisations des modèles multivariées de stables-Tweedie multiples, 2016. ,
A Treatise on the Theory of Determinants, 1960. ,
Characterizations of multivariate normal-Poisson model, Journal of the Iranian Statistical Society, vol.14, pp.37-52, 2015. ,
On the improper convex affine hyperspheres, Geometriae Dedicata, vol.1, issue.1, pp.33-46, 1972. ,
DOI : 10.1007/BF00147379
Estimateur de variance minimum et familles exponentielles naturelles. Comptes-Rendus de l'Académie des Sciences de Paris, pp.619-623, 1998. ,
DOI : 10.1016/s0764-4442(98)85018-0
Boundary blow-up problems for Hessian equations, manuscripta mathematica, vol.96, issue.3, pp.281-294, 1998. ,
DOI : 10.1007/s002290050068
Lévy Processes and Infinitely Divisible Distributions, 1999. ,
Insurance ratemaking using a copula-based multivariate Tweedie model, Scandinavian Actuarial Journal, vol.85, issue.163, pp.198-215, 2016. ,
DOI : 10.1016/j.insmatheco.2011.04.007
Abstract, ASTIN Bulletin, vol.10, issue.01, pp.143-157, 2002. ,
DOI : 10.1093/biomet/74.2.221
Aggregation, Variance and the Mean, Nature, vol.29, issue.4766, pp.732-735, 1961. ,
DOI : 10.1038/189732a0
R: a language and environment for statistical computing. Rapport technique, R Foundation for Statistical Computing, 2014. ,
An index which distinguishes between some important exponential families éditeurs : Statistics: applications and new directions, Proceedings of the Indian Statistical Golden Jubilee International Conference, pp.579-604, 1984. ,
R package 'suppdists'. Rapport technique, 2009. ,
CERTAIN GENERALIZATIONS IN THE ANALYSIS OF VARIANCE, Biometrika, vol.24, issue.3-4, pp.471-494, 1932. ,
DOI : 10.1093/biomet/24.3-4.471
EM-estimation and modeling of heavy-tailed processes with the multivariate normal inverse Gaussian distribution, Signal Processing, vol.85, issue.8, pp.1655-1673, 2005. ,
DOI : 10.1016/j.sigpro.2005.03.005