A biased roulette
A mathematical correction problem
A non-orthogonal projection model for evaluating photographs recording a population of spheres lying on a flat plate
A note on Poisson approximation.
We obtain in this note evaluations of the total variation distance and of the Kolmogorov-Smirnov distance between the sum of n random variables with non identical Bernoulli distributions and a Poisson distribution. Some of our results precise bounds obtained by Le Cam, Serfling, Barbour and Hall.It is shown, among other results, that if p1 = P (X1=1), ..., pn = P (Xn=1) satisfy some appropriate conditions, such that p = 1/n Σipi → 0, np → ∞, np2 → 0, then the total variation distance between X1+...+Xn...
A note on spider walks
Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.
A note on spider walks
Spider walks are systems of interacting particles. The particles move independently as long as their movements do not violate some given rules describing the relative position of the particles; moves that violate the rules are not realized. The goal of this paper is to study qualitative properties, as recurrence, transience, ergodicity, and positive rate of escape of these Markov processes.
A note on the Poisson disorder problem
À propos de la modélisation des niveaux de bruit
A remark on the comparison of Mackey and Segal models
A review of discrete-time risk models.
An extreme Markovian-evolutionary (EME) sequence.
The most general sequence, with Gumbel margins, generated by maxima procedures in an auto-regressive way (one step) is defined constructively and its properties obtained; some remarks for statistical estimation are presented.
Asymptotics for general nonstationary fractionally integrated processes without prehistoric influence.
Bounds on the throughput of an unslotted ALOHA channel in the case of a heterogeneous users' population
Combining -dependence with markovness
Convergence diagnosis to stationary distribution in MCMC methods via atoms and renewal sets
Cyclic random motions in -space with n directions
We study the probability distribution of the location of a particle performing a cyclic random motion in . The particle can take n possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time t). The distribution of the location of the particle is made up of two components: a singular component (corresponding...
Descriptors for point processes based on runs: The Markovian arrival process.
Duality theory for self-similar processes
Effect of the Variable Offset Distance on the Kill Probability.
Extended piecewise Markov processes in continuous time