19 citations · 62 across the 15 of their papers we have counts for
15 papers
Strong approximations for the -fold integrated empirical process with applications to statistical tests
Sergio Alvarez-Andrade, Salim Bouzebda, Aimé Lachal
The main purpose of this paper is to investigate the strong approximation of the -fold integrated empirical process, being a fixed positive integer. More precisely, we obtai…
Some asymptotic results for the integrated empirical process with applications to statistical tests
Sergio Alvarez-Andrade, Salim Bouzebda, Aimé Lachal
The main purpose of this paper is to investigate the strong approximation of the integrated empirical process. More precisely, we obtain the exact rate of the approximations by a s…
Entrance and sojourn times for Markov chains. Application to -random walks
Valentina Cammarota, Aimé Lachal
In this paper, we provide a methodology for computing the probability distribution of sojourn times for a wide class of Markov chains. Our methodology consists in writing out linea…
First exit time from a bounded interval for pseudo-processes driven by the equation
Aimé Lachal
Let be a positive integer. We consider pseudo-Brownian motion driven by the high-order heat-type equation $\partial/\partial t=(-1)^{N-1}\partial^{2N}/\part…
A random walk model related to the clustering of membrane receptors
Aimé Lachal
In a cellular medium, the plasmic membrane is a place of interactions between the cell and its direct external environment. A classic model describes it as a fluid mosaic. The flui…
A survey on the pseudo-process driven by the high-order heat-type equation concerning the first hitting times and sojourn times
Aimé Lachal
Fix an integer n>2 and let be the pseudo-process driven by the high-order heat-type equation . The denomination "p…