18 citations · 18 across the 3 of their papers we have counts for
5 papers
On the Hurwitz zeta function with an application to the beta-exponential distribution
Julyan Arbel, Olivier Marchal, Bernardo Nipoti
We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders. We provide a prob…
Approximate Bayesian computation via the energy statistic
Hien D. Nguyen, Julyan Arbel, Hongliang Lü +1
Approximate Bayesian computation (ABC) has become an essential part of the Bayesian toolbox for addressing problems in which the likelihood is prohibitively expensive or entirely u…
Dependence properties and Bayesian inference for asymmetric multivariate copulas
Julyan Arbel, Marta Crispino, Stéphane Girard
We study a broad class of asymmetric copulas introduced by Liebscher (2008) as a combination of multiple - usually symmetric - copulas. The main thrust of the paper is to provide n…
On strict sub-Gaussianity, optimal proxy variance and symmetry for bounded random variables
Julyan Arbel, Olivier Marchal, Hien D. Nguyen
We investigate the sub-Gaussian property for almost surely bounded random variables. If sub-Gaussianity per se is de facto ensured by the bounded support of said random variables,…
Discussions of the paper "Sparse graphs using exchangeable random measures" by F. Caron and E. B. Fox
Julyan Arbel, Marco Battiston, Stefano Favaro +5
These are written discussions of the paper "Sparse graphs using exchangeable random measures" by François Caron and Emily B. Fox, contributed to the Journal of the Royal Statistica…