In this paper, we derive asymptotic non-null distributions of three test statistics, i.e., the likelihood ratio criterion, the Lawley-Hotelling criterion and the Bartlett-Nanda-Pillai criterion, for redundancy in high-dimensional canonical correlation analysis. Since our setting is that the dimension of one of two observation vectors may be large but does not exceed the sample size, we use the ...

In 1964 Salat presented a notion of asymptotic density single dimensional subseries. Using this he series theorems similar to the following. If dn be decreasing sequence such that lim infn ndn > 0 and let subseries (x) = ?? k=1 ?k(x)dk dk convergent, then p(x) limn p(n,x)/n=0. Following Salat?s patten, we present double natural variation theorem.

We consider a class of subcritical superprocesses (Xt)t≥0 with general spatial motions and branching mechanisms. study the asymptotic behaviors Qt,r, distribution Xt conditioned on Xt+r not being null measure. first give existence limt→∞Qt,r limr→∞Qt,r, then show that an LlogL-type condition is equivalent to iterated limits: limr→∞limt→∞Qt,r limt→∞limr→∞Qt,r. Finally, when holds, we those limit...

Glutathione S-transferases (GSTs; EC: 2.5.1.18) are a ubiquitous family of eukaryotic and prokaryotic phase II metabolic isozymes. Genes encoding GSTM1 (OMIM: 138350), and GSTT1 (OMIM: 600436) are members of class mu and theta, respectively. The most common polymorphism in the GSTM1 is a deletion of the whole GSTM1 gene with a lack of enzyme activity. A homozygous deletion in the GSTT1 has also...

The present article proposes two step-down multiple testing procedures for asymptotic control of the family-wise error rate (FWER): the first procedure is based on maxima of test statistics (step-down maxT), while the second relies on minima of unadjusted p-values (step-down minP). A key feature of our approach is the characterization and construction of a test statistics null distribution (rat...

Abstract. When a spacetime takes Bondi radiating metric, and is vacuum and asymptotically flat at spatial infinity which ensures the positive mass theorem, we prove that the standard ADM energy-momentum is the past limit of the Bondi energy-momentum. We also derive a formula relating the ADM energy-momentum of any asymptotically flat spacelike hypersurface to the Bondi energy-momentum of any nu...

We investigate the behavior of null geodesics near future infinity in asymptotically flat spacetimes. In particular, we focus on asymptotic that correspond to worldlines photons initially emitted directions tangential constant radial surfaces Bondi coordinates. The analysis is performed for general dimensions, and difference between four-dimensional cases higher-dimensional stressed. four some ...

We study rates of asymptotic transformations between entangled states by local operations and classical communication a sublinear amount quantum communication. It is known that additive asymptotically continuous entanglement measures provide upper bounds on the are achievable with vanishing error. show for pure states, optimal rate any pair can be characterized as infimum such provided fully me...

Motivated by the first differencing method for linear panel data models, we propose a class of iterative local polynomial estimators for nonparametric dynamic panel data models with or without exogeous regressors. The estimators utilize the additive structure of the first-differenced model, the fact that the two additive components have the same functional form, and the unknown function of inte...

The outward–pointing principal null direction of the Schwarzschild Rie-mann tensor is null hypersurface–forming. If the Schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history 1 of an outgoing light–like shell. The outward– pointing principal null direction of the Kerr Riemann tensor is asymptotically (in the neighbourhood of future null infinity...