Victor Pérez-Abreu
Probability & Statistics/CIMAT

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Publications on multivariate and cone valued infinitely divisible distributions

 

1)  Infinitely divisible multivariate and matrix Gamma distributions, with Robert Stelzer, Journal of Multivariate Analysis, 130, 155-175, (2014).

2)  Lévy mixing, with Ole Barndorff-Nielsen and Steen Thorbjensen, ALEA, Latin American Journal in Probability and Mathematical Statistics, 10 (2), 1013-1062, (2013).

3)  Lévy measures involving fractional a generalized form of fractional integrals, with Makoto Maeijma and Ken-iti Sato, Probability and Mathematical Statistics, 33, 1, 45-63, 2013.

4)  A class of multivariate infinitely divisible distributions related to arcsine density, with Makoto Maeijma and Ken-iti Sato. Bernoulli, 18, 476-495 (2012).

5)  Representation of infinitely divisible distributions on cones, with Jan Rosinski, Journal of Theoretical Probability 20, 535-544 (2007).

6)  Extensions of type G and marginal infinite divisibility, with Ole E. Barndorff-Nielsen, Theory of Probability and Its Applications 47, 301-319 (2002).

7)  Interpolation, correlation identities and  inequalities for infinitely divisible variables, with Christian Houdré and Donatas Surgailis, Journal of Fourier Analysis and Applications 4, 651-668 (1998).

8)  Characterization and approximation of infinitely divisible distributions on Hilbert spaces, with Netzahualcóyotl Castañeda. Aportaciones Matemáticas, Notas de Investigación 12, 57-70. Mexican Mathematical Society (1996).