Equality of More Than Two Variances and of More Than Two Dispersion Matrices Against Certain Alternatives

Equality of Two Dispersion Matrices against Alternatives of Intermediate Specificity

For two multivariate normal distributions the null hypothesis of equal dispersion matrices is considered against several alternatives of intermediate specificity, and a similar region test of . the hypothesis against each alternative is offered. Also, for each case, conservative confidence bounds are sought on one or more parametric functions, interpretable as deviations from the null hypothesi...

Comparing More Than Two Groups

Turbulence in more than two and less than three dimensions.

We investigate the behavior of turbulent systems in geometries with one compactified dimension. A novel phenomenological scenario dominated by the splitting of the turbulent cascade emerges both from the theoretical analysis of passive scalar turbulence and from direct numerical simulations of Navier-Stokes turbulence.

Switching with more than two colours

The operation of switching a finite graph was introduced by Seidel, in the study of strongly regular graphs. We may conveniently regard a graph as being a 2-colouring of a complete graph; then the extension to switching of an m-coloured complete graph is easy to define. However, the situation is very different. For m > 2, all m-coloured graphs lie in the same switching class. However, there are...

more - than - two - site inter - actions

Multi-species reaction-diffusion systems, with more-than-two-site interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for Ea n (t)’s, the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time...