The attached file may be somewhat different from the published versionInternational audienceIn this paper, we consider a failure point process related to the Markovian Arrival Process defined by Neuts. We show that it onverges in distribution to a homogeneous Poisson process. This convergence takes place in context of rare occurrences of failures. We also provide a convergence rate of the convergence in total variation of this point process using an approach developed by Kabanov, Liptser and Shiryaev for the doubly-stochastic Poisson process driven by a finite Markov process
AbstractThis study shows that when a point process is partitioned into certain uniformly sparse subp...
This dissertation aims to investigate several aspects of the Poisson convergence: Poisson approximat...
Many software reliability growth models assume that the time to next failure may be infinite; i.e., ...
International audienceWe consider a Markovian model, proposed by Littlewood, to assess the reliabili...
International audienceIn this article, we deal with a class of discrete-time reliability models. The...
International audienceWe consider a Markovian model, proposed by Littlewood, to assess the reliabili...
The attached file may be somewhat different from the published versionInternational audienceIn this ...
AbstractBy means of a distributional limit theorem Arjas and Haara (1987) have shown that the total ...
The attached file may be somewhat different from the published versionInternational audienceDependab...
International audienceWe describe the statistics of the number of occurrences of a string of symbols...
AbstractConsider a renewal process, and let K⩾0 denote the random duration of a typical renewal cycl...
Stein’s method constitutes one of the main techniques to solve some approximation problems in probab...
Non-homogeneous Poisson Process (NHPP) models form a significant subclass of the many software relia...
AbstractWe present a new approximation theorem for estimating the error in approximating the whole d...
AbstractWe investigate a family of approximating processes that can capture the asymptotic behaviour...
AbstractThis study shows that when a point process is partitioned into certain uniformly sparse subp...
This dissertation aims to investigate several aspects of the Poisson convergence: Poisson approximat...
Many software reliability growth models assume that the time to next failure may be infinite; i.e., ...
International audienceWe consider a Markovian model, proposed by Littlewood, to assess the reliabili...
International audienceIn this article, we deal with a class of discrete-time reliability models. The...
International audienceWe consider a Markovian model, proposed by Littlewood, to assess the reliabili...
The attached file may be somewhat different from the published versionInternational audienceIn this ...
AbstractBy means of a distributional limit theorem Arjas and Haara (1987) have shown that the total ...
The attached file may be somewhat different from the published versionInternational audienceDependab...
International audienceWe describe the statistics of the number of occurrences of a string of symbols...
AbstractConsider a renewal process, and let K⩾0 denote the random duration of a typical renewal cycl...
Stein’s method constitutes one of the main techniques to solve some approximation problems in probab...
Non-homogeneous Poisson Process (NHPP) models form a significant subclass of the many software relia...
AbstractWe present a new approximation theorem for estimating the error in approximating the whole d...
AbstractWe investigate a family of approximating processes that can capture the asymptotic behaviour...
AbstractThis study shows that when a point process is partitioned into certain uniformly sparse subp...
This dissertation aims to investigate several aspects of the Poisson convergence: Poisson approximat...
Many software reliability growth models assume that the time to next failure may be infinite; i.e., ...