57 citations · 229 across the 42 of their papers we have counts for
50 papers
Beta-weighted non-local differential operators and related stochastic processes
L. Beghin, N. Leonenko, T. Simon +1
In this work we introduce a class of non-local differential operators defined through a beta-weighted averaging of the ordinary derivative. We investigate their analytical properti…
Persistence probabilities of autoregressive chains with continuous innovations
Titouan Donnart, Thomas Simon
We consider the persistence probabilities of an autoregressive chain of order one with continuous innovations. In the case of positive drifts, we show that these persistence probab…
A note on the Sun distribution
Thomas Simon
We investigate the analytical properties of the Sun random variable, which arises from the domain of attraction of certain storage models involving a maximum and a sum. In the…
On the log-concavity of the Wright function
Rui A. C. Ferreira, Thomas Simon
We investigate the log-concavity on the half-line of the Wright function in the probabilistic setting and Applications are given to the constru…
On cumulative Tsallis entropies
Guillaume Dulac, Thomas Simon
We investigate the cumulative Tsallis entropy, an information measure recently introduced as a cumulative version of the classical Tsallis differential entropy, which is itself a g…
A converse to the neo-classical inequality with an application to the Mittag-Leffler function
Stefan Gerhold, Thomas Simon
We prove two inequalities for the Mittag-Leffler function, namely that the function is sub-additive for and super-additive for These assertions foll…