We propose an approach to constructing a new type of design, a sliced space-filling design, intended for computer experiments with qualitative and quantitative factors. The approach starts with constructing a Latin hypercube design based on a special orthogonal array for the quantitative factors and then partitions the design into groups corresponding to different level combinations of the qual...

A simple orthogonal array OA(q2n−1, q2n−2, q, 2) is constructed by using the action of a large subgroup of PGL(n + 1, q2) on a set of non degenerate Hermitian varieties in PG(n, q2).

The focus of this survey paper is on the distribution function FNβ(t) for the largest eigenvalue in the finite N Gaussian Orthogonal Ensemble (GOE, β = 1), the Gaussian Unitary Ensemble (GUE, β = 2), and the Gaussian Symplectic Ensemble (GSE, β = 4) in the edge scaling limit of N → ∞. These limiting distribution functions are expressible in terms of a particular Painlevé II function. Comparison...

An (r,λ)-design with mutually balanced nested subdesigns ( for brevity, (r,λ)-design with MBN ) is introduced firstly in this paper. It is shown that an (r,λ)design with MBN is equivalent to a balanced array of strength 2 with s symbols. By the use of a nested design and an orthogonal array, a construction of an (r,λ)design with MBN is given. A direct construction of such an (r,λ)-design, based...

We study how 2nd order statistics (SOS) can be exploited in two signal processing problems, blind separation of binary sources and trained-based multi-user channel iden­ tification, in a Bayesian context where a prior on the mixing channel matrix is available. It is well known that the SOS of the received data permit to resolve the unknown mixing matrix, up to an orthogonal factor. In a Bayesia...

A preliminary analytical study was conducted to investigate the effects of cruciform test specimen geometries on strain distribution uniformity in the central gage section under biaxial loads. Three distinct specimen geometries were considered while varying the applied displacements in the two orthogonal directions. Two sets of woven fabric material properties found in literature were used to q...

Formulas are derived for the probability density function and the probability distribution function of the largest canonical angle between two p-dimensional subspaces of Rn chosen from the uniform distribution on the Grassmann manifold (which is the unique distribution invariant by orthogonal transformations of Rn). The formulas involve the gamma function and the hypergeometric function of a ma...

In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with ⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution .