In this paper, we propose two new estimators of the multivariate rank correlation coefficient Spearman's footrule which are based on general for Average Orthant Dependence measures. We compare proposals with a previous estimator existing in literature and show that three asymptotically equivalent, but, small samples, one proposed outperforms others. also analyse Pitman efficiency these indices ...

We present a new variant of the secretary problem. Let $A$ be totally ordered set $n$ \emph{applicants}. Given $P\subseteq A$ and $x\in A$, let $rr(P,x)=\vert\{z\in P \mid z\leq x\}\vert\mbox{ }$ \emph{relative rank of} $x$ \emph{with regard to} $P$, $rr_n(x)=rr(A,x)$. $x_1,x_2,\dots,x_n\in random sequence distinct applicants. The aim is to select $1<j\leq n$ such that $rr_n(x_{j-1})-rr_n(x_j)\...

‎We determine the‎ ‎form of polynomially bounded solutions to the Loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally‎ ‎Lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[A(tau)...

This task focuses on evaluating word similarity computation in Chinese. We follow the way of Finkelstein et al. (2002) to select word pairs. Then we organize twenty undergraduates who are major in Chinese linguistics to annotate the data. Each pair is assigned a similarity score by each annotator. We rank the word pairs by the average value of similar scores among the twenty annotators. This da...

A new rank correlation index, which can be used to measure the extent of concordance or discordance between two rankings, is proposed. This index is based on Gini’s mean difference computed on the totals ranks corresponding to each unit and it turns out to be a special case of a more general measure of the agreement of m rankings. The proposed index can be used in a test for the independence of...

We propose a novel convex relaxation of sparse principal subspace estimation based on the convex hull of rank-d projection matrices (the Fantope). The convex problem can be solved efficiently using alternating direction method of multipliers (ADMM). We establish a near-optimal convergence rate, in terms of the sparsity, ambient dimension, and sample size, for estimation of the principal subspac...

We study unconventional decays of the top-quark and the top-squark in the framework of SUSY models with broken R-parity. The model under study is the MSSM with an additional bilinear term that breaks R-parity. In this model the top-squark behaves similar to a third generation leptoquark. We demonstrate that existing Tevatron data on the top give rise to restrictions on the SUSY parameter space....

OBJECTIVES This study investigates whether depression can be ameliorated by weakening the associations between auditory verbal hallucinations and easily activated networks with negative self-evaluations, by strengthening the access to competing memories of positive self-esteem. Design.  A randomized controlled clinical trial comparing competitive memory training (COMET) with treatment as usual ...