Extension of the variance function of a steep exponential family

Author:

Hassairi A.,Masmoudi A.

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Numerical Analysis,Statistics and Probability

Reference11 articles.

1. Information and Exponential Families in Statistical Theory;Barndorff-Nielsen,1978

2. The 2d+4 simple quadratic natural exponential families on Rd;Casalis;Ann. Statist,1994

3. A. Hassairi, La classification des familles exponentielles naturelles sur Rn par l'action du groupe linaire de Rn+1, C. R. Acad. Sci. Paris sér. I, t. 315 (1992) 207–210.

4. Riesz Exponential families on symmetric cones;Hassairi;J. Theoret. Probab,2001

5. Asymptotic behaviour of the variance function;Jørgensen;Scand. J. Statist,1994

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1. Some properties of 2-orthogonal polynomials associated with inverse Gaussian distribution;Communications in Statistics - Theory and Methods;2021-05-17

2. Characteristic property of a class of multivariate variance functions;Lithuanian Mathematical Journal;2015-10

3. Poisson Limit Laws for Exponential Dispersion Models;Communications in Statistics - Theory and Methods;2012-02

4. Characterization of multinomial exponential families by generalized variance;Statistics & Probability Letters;2010-06

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