This paper introduces the usage and performance of R package tlrmvnmvt, aimed at computing high-dimensional multivariate normal Student-t probabilities. The implements tile-low-rank methods with block reordering separationof-variable univariate reordering. is compared two other state-of-the-art packages, namely mvtnorm TruncatedNormal packages. Our has best scalability likely to be only option ...

In order to further investigate the relationships of brain atrophy, age, and dementia, computed tomographic (CT) scans on two groups of subjects aged 65-80 years were rank-ordered according to ventricular and sulcal size. Each group contained subjects with mild senile dementia of the Alzheimer type (SDAT) and matched controls. In both experiments there was a strong correlation between these ran...

One of the most popular class of tests for independence between two random variables is the general class of rank statistics which are invariant under permutations. This class contains Spearman’s coefficient of rank correlation statistic, Fisher-Yates statistic, weighted Mann statistic and others. Under the null hypothesis of independence these test statistics have a permutation distribution th...

Background: The present study aimed to evaluate the correlation between the motile sperm organelle morphology examination (MSOME) and a well-knownsperm morphology classification (Tygerberg criteria). Materials and Methods: Semen samples (one per subject) were obtained from 97 men (mean age 36.7±6.0years) from an unselected group of couples undergoing infertility investigation and treatment. A p...

Let R be an algebraic curvature tensor for a non-degenerate inner product of signature (p, q) where q ≥ 5. If π is a spacelike 2 plane, let R(π) be the associated skewsymmetric curvature operator. We classify the algebraic curvature tensors so R(·) has constant rank 2 and show these are geometrically realizable by hypersurfaces in flat spaces. We also classify the Ivanov-Petrova algebraic curva...

The purpose of this paper is to characterize when a harmonic function with values in the finite rank operators on a Hilbert space is expressible as a harmonic matrix-valued function. We show that harmonic function with values in the rank 1 normal operators is expressible as a harmonic matrix-valued function. We also prove that for any natural number, n, a harmonic function with values in the ra...

The rank product statistic has been widely used to detect differentially expressed genes in replicated microarrays and a one-class setting. The objective of this article is to apply a rank product statistic to approximate the P-value of differential expression in a two-class setting, such as in normal and cancer cells. For this purpose, we introduce a simple statistic that compares the P-values...

in this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated