We consider a random connection model (RCM) on a general space driven by a Poisson
process whose intensity measure is scaled by a parameter $ t\ge 0$. We say that the infinite …

Stationary Processes and Discrete Parameter Markov Processes Page 1 Graduate Texts in
Mathematics Rabi Bhattacharya Edward C. Waymire Stationary Processes and Discrete …

We study negative association for mixed sampled point processes and show that negative
association holds for such processes if a random number of their points fulfils the ultra log …

The notion of association is a form of positive dependence among random variables
independently introduced in reliability theory, percolation theory and statistical physics …

In a paper published in 1939 in The Annals of Mathematical Statistics, Wald and Wolfowitz
discussed the possible validity of a probability inequality between one‐and two‐sided …

Estimating the number of natural disasters benefits the insurance industry in terms of risk
management. However, the estimation process is complicated due to the fact that there are …

We obtain some maximal probability and moment inequalities for multidimensionally
indexed demimartingales. Although the class of single-indexed demimartingales has been …

We study the asymptotic behaviour of a stationnary shot noise random field. We use the
notion of association to prove the asymptotic normality of the moments and a …

Cette thèse a pour but l'étude de nombreux aspects des champs aléatoires shot noise. La
structure de faible dépendance entre les variables éloignées, mise en lumière par la notion …

What are the percolation properties of a repulsive point process on an infinite connected
graph? To treat this question, one starts by clearly state which definition of repulsivity is …