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math.PR2022

A new class of stochastic processes with great potential for interesting applications

Fulgence Eyi Obiang, Paule Joyce Mbenangoya, Magloire Yorick Nguema MBA +1

This paper contributes to the study of a new and remarkable family of stochastic processes that we will term class . This class is potentially interesting because it unif…

math.PR2022

Stochastic differential equations driven by relative martingales

Fulgence Eyi Obiang, Paule Joyce Mbenangoya, Ibrahima Faye +1

This paper contributes to the study of relative martingales. Specifically, for a closed random set , they are processes null on which decompose as , where is a cà…

math.PR2021

Characterization of a new class of stochastic processes including all known extensions of the class

Fulgence Eyi Obiang, Paule Joyce Mbenangoye, Octave Moutsinga

This paper contributes to the study of class as well as the càdlàg semi-martingales of class , whose finite variational part is càdlàg instead of continuous. The two…

math.PR2020

An ideal class to construct solutions for skew Brownian motion equations

Fulgence Eyi Obiang, Octave Moutsinga, Youssef Ouknine

This paper contributes to the study of stochastic processes of the class . First, we extend the notion of the above-mentioned class to càdlàg semi-martingales, whose finite va…

math.PR2018

New contributions to the study of stochastic processes of the class

Fulgence Eyi Obiang, Octave Moutsinga, Youssef Youssef

In this paper, we contribute to the study of the class . In the first part of the paper, we provide new ways to characterize stochastic processes of the above mentioned class…

math.PR2012

New classes of processes in stochastic calculus for signed measures

Fulgence Eyi Obiang, Youssef Ouknine, Octave Moutsinga

Let us consider a signed measure $\Qv$ and a probability measure $\Pv$ such that $\Qv<<\Pv$. Let be the density of $\Qv$ with respect to $\Pv$. represents the set of zeros…