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 the presence of selection bias, traditional estimators of pseudo panel data are inconsistent. In this paper, the authors derive the conditions under which consistence is achieved in pseudo-panel estimation and propose a simple test of selection bias. Specifically, they propose a Wald test for the null hypothesis that there is no selection bias. Under rejection of the null hypothesis, the aut...

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.

Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous f...

The pseudo-Gaussian portmanteau tests of Chitturi, Hosking, and Li McLeod for VARMA models are revisited from a Le Cam perspective, providing precise more rigorous description the asymptotic behavior multivariate test statistic, which depends on dimension d observations, number m lags involved, length n observation period. Then, based concepts center-outward ranks signs recently developed (Hall...

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...

In this paper, by the weighted ergodic function based on the measure theory, we study the pseudo asymptotic behavior of mild solution for semilinear fractional integro-differential equations. The existence, unique of -pseudo anti-periodic ( -pseudo periodic, -pseudo almost periodic, -pseudo almost automorphic) solution are investigated. Moreover, an application to fractional partial differentia...

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...