Mathematics – Probability
Scientific paper
1999-09-20
Journal of Theoretical Probability, 2001, Vol. 14, No. 1, pp. 21-37
Mathematics
Probability
28 pages; To be published in the Journal of Theoretical Probability; minor changes have been made
Scientific paper
The present paper concentrates on the analogues of Rosenthal's inequalities for ordinary and decoupled bilinear forms in symmetric random variables. More specifically, we prove the exact moment inequalities for these objects in terms of moments of their individual components. As a corollary of these results we obtain the explicit expressions for the best constant in the analogues of Rosenthal's inequality for ordinary and decoupled bilinear forms in identically distributed symmetric random variables in the case of the fixed number of random variables.
Cecen A.
Ibragimov Rustam
Sharakhmetov Sh.
No associations
LandOfFree
Exact Estimates for Moments of Random Bilinear Forms 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 Exact Estimates for Moments of Random Bilinear Forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Estimates for Moments of Random Bilinear Forms will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-429618