53 citations · 57 across the 3 of their papers we have counts for
3 papers
math.ST2006★ 53 cited
Characterizations of joint distributions, copulas, information, dependence and decoupling, with applications to time series
Victor H. de la Peña, Rustam Ibragimov, Shaturgun Sharakhmetov
In this paper, we obtain general representations for the joint distributions and copulas of arbitrary dependent random variables absolutely continuous with respect to the product o…
math.PR2000★ 3 cited
Moment Inequalities for Symmetric Statistics
R. Ibragimov, Sh. Sharakhmetov
In this paper, we prove analogues of Khintchine and Rosenthal's moment inequalities for symmetric statistics (U-statistics) of arbitrary order. An example that shows significance o…
math.PR1999★ 1 cited
Exact Estimates for Moments of Random Bilinear Forms
R. Ibragimov, Sh. Sharakhmetov, A. Cecen
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…