8 citations · 18 across the 9 of their papers we have counts for
8 papers · 1 filter
The frequency process in a non-neutral two-type continuous-state branching process with competition and its genealogy
Imanol Nuñez, José Luis Pérez
We consider a population growth model given by a two-type continuous-state branching process with immigration and competition, introduced by Ma. We study the relative frequency of…
Refraction strategies in stochastic control: optimality for a general Lévy process model
Kei Noba, José Luis Pérez, Kazutoshi Yamazaki
We revisit an absolutely-continuous version of the stochastic control problem driven by a Lévy process. A strategy must be absolutely continuous with respect to the Lebesgue measur…
Lévy bandits under Poissonian decision times
José-Luis Pérez, Kazutoshi Yamazaki
We consider a version of the continuous-time multi-armed bandit problem where decision opportunities arrive at Poisson arrival times, and study its Gittins index policy. When drive…
On the bailout dividend problem with periodic dividend payments for spectrally negative Markov additive processes
Dante Mata, Harold A. Moreno-Franco, Kei Noba +1
This paper studies the bailout optimal dividend problem with regime switching under the constraint that dividend payments can be made only at the arrival times of an independent Po…
A Random Matrix Approximation for the Non-commutative Fractional Brownian Motion
Juan Carlos Pardo, Victor Pérez-Abreu, José Luis Pérez-Garmendia
A functional limit theorem for the empirical measure-valued process of eigenvalues of a matrix fractional Brownian motion is obtained. It is shown that the limiting measure-valued…
Gerber-Shiu functionals at Parisian ruin for Lévy insurance risk processes
E. J. Baurdoux, J. C. Pardo, J. L. Pérez +1
Inspired by works of Landriault et al. \cite{LRZ-0, LRZ}, we study discounted penalties at ruin for surplus dynamics driven by a spectrally negative Lévy process with Parisian impl…