Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays

Details Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays

2009-12-08

arxiv.org/abs/0912.1561v1

Mathematics

Probability

Scientific paper

In this article, we consider a stationary array $(X_{j,n})_{1 \leq j \leq n, n \geq 1}$ of random variables with values in $\bR \verb2\2 \{0\}$ (which satisfy some asymptotic dependence conditions), and the corresponding sequence $(N_{n})_{n\geq 1}$ of point processes, where $N_{n}$ has the points $X_{j,n}, 1\leq j \leq n$. Our main result identifies some explicit conditions for the convergence of the sequence $(N_{n})_{n \geq 1}$, in terms of the probabilistic behavior of the variables in the array.

Affiliated with

Also associated with

No associations

Rating

Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386436