Singular value decomposition (SVD) is a useful multivariate technique for dimension reduction. It has been successfully applied to analyze microarray data, where the eigen vectors are called eigen-genes/arrays. One weakness associated with the SVD is the interpretation. The eigen-genes are essentially linear combinations of all the genes. It is desirable to have sparse SVD, which retains the di...

VARIANCE-REDUCTION TECHNIQUES FOR ESTIMATING QUANTILES AND VALUE-AT-RISK by Fang Chu Quantiles, as a performance measure, arise in many practical contexts. In finance, quantiles are called values-at-risk (VARs), and they are widely used in the financial industry to measure portfolio risk. When the cumulative distribution function is unknown, the quantile can not be computed exactly and must be ...

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Solvers on finite domains use local consistency notions to remove values from the domains. This paper defines value withdrawal explanations. Domain reduction is formalized with chaotic iterations of monotonic operators. To each operator is associated its dual which will be described by a set of rules. For classical consistency notions, there exists a natural such system of rules. They express v...

We give the exposition of a generalized symmetry approach to reduction of initial value problems for nonlinear evolution equations in one spatial variable. Using this approach we classify the initial value problems for third-order evolution equations that admit reduction to Cauchy problems for systems of two ordinary differential equations. These reductions are shown to correspond to higher con...

vitamin e is a potent reactive oxygen metabolites (rom) scavenger. it is a lipid-soluble vitamin and its main function is to protect polyunsaturated fatty acids against oxidative stress. twenty-five mechanically ventilated intensive care unit (icu) adult patients participated in a prospective randomized clinical trial receiving either placebo (10 patients) or 3 im doses (1000 iu each) of vitami...

This study investigates empirically the value investors place in excess cash holdingand how managerial ability impact on the value of cash holding for Iranianfirms from 2006 to 2014. In this research, managerial ability calculated by usingthe data envelopment analysis (DEA). Following the approach of Faulkender andWang, we find that the relation between managerial ability and value of cash hold...