Concentration of permanent estimators for certain large matrices

Details Concentration of permanent estimators for certain large matrices Concentration of permanent estimators for certain large matrices

2004-07-08

arxiv.org/abs/math/0407139v1

Annals of Probability 2004, Vol. 14, No. 3, 1559-1576

Mathematics

Probability

Scientific paper

10.1214/105051604000000396

Let A_n=(a_{ij})_{i,j=1}^n be an n\times n positive matrix with entries in
[a,b], 0where {x_{ij}} are i.i.d. N(0,1) random variables. We show that for large n,
\det (X_n^TX_n) concentrates sharply at the permanent of A_n, in the sense that
n^{-1}\log (\det(X_n^TX_n)/perA_n)\to_{n\to\infty}0 in probability.

Affiliated with

Also associated with

No associations

Rating

Concentration of permanent estimators for certain large matrices 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 Concentration of permanent estimators for certain large matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Concentration of permanent estimators for certain large matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-222520