16 citations · 27 across the 11 of their papers we have counts for
11 papers
Bahadur representations for the bootstrap median absolute deviation and the application to projection depth weighted mean
Qing Liu, Xiaohui Liu
Median absolute deviation (hereafter MAD) is known as a robust alternative to the ordinary variance. It has been widely utilized to induce robust statistical inferential procedures…
Limit theory for an AR(1) model with intercept and a possible infinite variance
Qing Liu, Xiaohui Liu
In this paper, we derive the limit distribution of the least squares estimator for an AR(1) model with a non-zero intercept and a possible infinite variance. It turns out that the…
A new class of -norm zonoid depths
Xiaohui Liu, Yuanyuan Li, Qing Liu
Zonoid depth, as a well-known ordering tool, has been widely used in multivariate analysis. However, since its depth value vanishes outside the convex hull of the data cloud, it su…
General notions of regression depth function
Xiaohui Liu, Yuanyuan Li
As a measure for the centrality of a point in a set of multivariate data, statistical depth functions play important roles in multivariate analysis, because one may conveniently co…
On similarity of the sample depth contours
Xiaohui Liu
In this paper, we investigate the similarity property of the sample projection depth contours. It turns out that some of these contours are of \emph{the same shape} with different…
Finite sample breakdown point of Tukey's halfspace median
Xiaohui Liu, Yijun Zuo, Qihua Wang
Tukey's halfspace median ($\HM$), servicing as the {multivariate} counterpart of the univariate median, has been introduced and extensively studied in the literature. It is suppose…