-semi-selfdecomposability and subclasses () and of measures on complete separable metric vector spaces are introduced and basic properties are proved. In particular we show that is -semi-selfdecomposable if and only if = () where is infinitely divisible and is operator selfdecomposable if and...

We consider a class of measures called autophage which was introduced and studied by Szekely for measures on the real line. We show that the autophage measures on finite-dimensional vector spaces over real or ℚ are infinitely divisible without idempotent factors and are absolutely continuous...

Given a Markov operator on a -finite measure space (, Σ, ) and is invariant, we say that has Krengel-Lin decomposition if () = ⊕ (, Σ) where = { ∈ () | ‖()‖ → 0} and Σ is the deterministic -field of . We consider the case of convolution operator and we show that a measure λ on a...

In this paper, we show that consistency along with a property, which requires a binary relation to have a countable almost order dense subset, is necessary and sufficient for a reflexive binary relation to have a weak order extension, which is also order dense. We also show that for an...

For each outcome (i.e. a payoff vector augmented with a coalition structure) of a TU-game with a non-empty coalition structure core there exists a finite sequence of successively dominating outcomes that terminates in the coalition structure core. In order to obtain this result a restrictive...

Parametric methods are commonly used despite evidence that model assumptions are often violated. Various statistical procedures have been suggested for analyzing data from multiple-group repeated measures (i.e., split-plot) designs when parametric model assumptions are violated (e.g., Akritas &...

Limit spectral theory of sample covariance matrices of increasing dimension was recently used as a base for the development of improved non-degenerating methods of multivariate statistical analysis. We present results of a numerical investigation of fundamental relations of this theory (of the...

Given lines , = 1, 2, 3, 4, in the plane, such that no three of the lines are parallel or are concurrent, we want to find the locus of centers of ellipses tangent to the . In the case when the lines form the boundary of a four sided convex polygon , let and be the midpoints of the diagonals of ....