JSTOR Daily

FUNCTIONAL POISSON APPROXIMATION IN KANTOROVICH–RUBINSTEIN DISTANCE WITH APPLICATIONS TO U-STATISTICS AND STOCHASTIC GEOMETRY

A Poisson or a binomial process on an abstract state space and a symmetric function f acting on k-tuples of its points are considered. They induce a point process on the target space of f. The main ...
JSTOR Daily

Convergence of excursion point processes and its applications to functional limit theorems of Markov processes on a half-line

Invariance principles are obtained for a Markov process on a half-line with continuous paths on the interior. The domains of attraction of the two different types of self-similar processes are ...