| Title |
К вопросу о скорости сходимости вырожденной U-статистики / |
| Translation of Title |
On the rate of convergence of degenerate U-statistics. |
| Translation of Title |
Apie išsigimusios U-statistikos konvergavimo greitį. |
| Authors |
Januškevičienė, Olga |
| DOI |
10.15388/LMR.2005.29319 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. 2005, T. 45, spec, Nr, p. 533-538.. ISSN 0132-2818 |
| Keywords [eng] |
U-statistics of second degree ; Convergence rate ; U-statistics, degenerate |
| Abstract [eng] |
Let [...] be independent identically distributed random variables taking values in a measurable space (Θ, R). Let h(x,y) be real valued measurable symmetric function of the arguments x, y [...] R. Assume that Eh(x,X)=0, for all x. We consider U-statistics of type [...]. Let [...] be eigenvalues of the Hilbert-Schmidt operator associated with the kernel h(x,y) and q_1 be the largest eigenvalue. Under the condition [..], we prove that [...], where T_0 is the limit statistic and ρ is a Kolmogorov (or uniform) distance. |
| Type |
Journal article |
| Language |
Russian |
| Publication date |
2005 |
| CC license |
|
