On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields

Details On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields

2011-07-19

arxiv.org/abs/1107.3854v1

Mathematics

Probability

16 pages

Scientific paper

For a given pair of positive integers $d$ and $N$ with $N \geq 2$, for strictly stationary random fields that are indexed by the $d$-dimensional integer lattice and satisfy $N$-tuplewise independence, the dependence coefficients associated with the $\rho$-, $\rho'$-, and $\rho^*$-mixing conditions can decay together at an arbitrary rate. Another, closely related result is also established. In particular, these constructions provide classes of examples pertinent to limit theory for random fields that involve such mixing conditions together with certain types of "extra" assumptions on the marginal and bivariate (or $N$-variate) distributions.

Affiliated with

Also associated with

No associations

Rating

On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields 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 On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On possible mixing rates for some strong mixing conditions for N-tuplewise independent random fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-33561