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ON THE CONDITION FOR CONSISTENCY OF RESAMPLING ESTIMATORS OF VARIANCE OF TRIMMED L-STATISTICS
L-statistics bootstrap random weighting
2007/8/7
In this paper, a counter-example is presented to show that conditions given by[1] and [2] are not enough to guarantee the consistency of resampling estimators of varianceof trimmed L-statistics. To th...
Let X_i, Y_j, i, j = 2…, n, be independent nonnegative r.v.'s with X_i～ F_i(t) = 1-exp(-R_i(t)) and Y_j～ G_j(t) = 1- exp(-R(t)), j=1,…, n. Two kinds of models are considered, and the monotone coupling...
SYMMETRIC AND SKEW-SYMMETRIC PROCRUSTES STATISTICS AND THEIR APPLICATIONS
Procrustes statistics symmetric skew-s
2007/8/7
In this paper, we give the calculation formulae and some properties of symmetric andskew-symmetric procrustes statistics and related transformation matrices. We use the procrustes statistic to provide...
THE ASYMPTOTIC BEHAVIOR AND APPLICATIONS OF A CLASS OF PP R-STATISTICS
Projection pursuit two sample tests R-st
2007/8/7
This paper uses R-statistics as projection indices to construct a class of projection pursuit (PP)R-statistics for multivariate two sample tests via PP techniques. Examples are presented as applicatio...
Some bootstrap approximations of the asymptotic distributions of PP L-statistics whichwere proposed by the authors in[7]are discusse. Bootstrap statistics and their asymptotic propertiesare establishe...