M. (1997). Unbiased estimation of central moments by using U-statistics. Journal of the Royal Statistical Society: Series B, 59, 861- 863. http://dx.doi.org/10.1111/1467-9868.00102Heffernan, P. M. (1997). Unbiased Estimation of Central Moments by using U-statistics. Journal of the ...
We propose a new regularization method that minimizes the discrepancy between domain-specific latent feature representations directly in the hidden activation space. Although some standard distribution matching approaches exist that can be interpreted as the matching of weighted sums of moments, e.g. ...
Statistical moments are widely used in descriptive statistics. Therefore efficient and numerically stable implementations are important in practice. Pebay [1] derives online update formulas for arbitrary-order central moments. We present a simpler version that is also easier to implement.Xiangrui Meng...
U-statisticsIn this paper we study the biases of jackknife estimators of central third moments which play an important role in improving the accuracy of the normal approximation. It has been found in simulation studies that the jackknife estimator of the skewness coefficient, into which the ...
are the moments of fi(x). With Eq. (C.5), this result can be written in terms of the central moments as (C.18)Mxi(tN)=1+μitN+12(σi2+μi2)t2N2+…. As N becomes large, Mxi(tN)≃exp[μitN+12σi2t2N2], which can be verified by expanding the exponential up to ...
Sinceis precisely the number of-cliques in, this random vector falls within the purview ofgeneralised U-statistics. We extend results from Janson and Nowicki (1991) to show not only distributional convergence asymptotically but a stronger result, detailing explicit non-asymptotic bounds on the approxi...
Communications in Statistics Theory & MethodsMathai AM (1980) Moments of the trace of a noncentral Wishart matrix. Commun Stat Theory Methods 9:795-801A. M. Mathai, Moments of the trace of a noncentral wishart matrix, Commun. Stat. Theory Methods 9:8 (1980) 795-801....
In this article, the complete moment convergence of weighted sums for -mixing sequence of random variables is investigated. By applying moment inequality a... G Le,Ming - 《Communications in Statistics》 被引量: 35发表: 2013年 A central limit theorem for nonuniform φ-mixing random fields with...
Assuming first that the 4th cumulant (excess) K4 of entries of Wand X is zero and that their 4th moments satisfy a Lindeberg type condition,we prove that linear statistics of eigenvalues of the above matrices satisfy thecentral limit theorem (CLT) as n oo, m oo, m I n --+ c E [0...
Several articles have appeared on the moments of the trace of a noncentral Wishart matrix. Partial results are given in these papers but the representations of these partial results are often too cumbersome for any practical use. In this paper general results are given in compact form which are...