and subtracting the product from 1.0, the mutual support of semantically independent conjuncts is quantified. While for the Bayesian method, three empirical data are prerequisite, two such data may suffice for the "MPE-Method"

We give the Wiener-Itô chaotic decomposition for the local time of the -dimensional fractional Brownian motion with -parameters. We study its smoothness in the Sobolev-Watanabe spaces and its asymptotic behaviour when the space variable tends to zero and the time variable tends to infinity

In order to extrincate the structure of corings with a finitely generated and projective generator we give the notion of a comatrix coring. As consequences we give generalizations of the main characterizations of faithfully flat Galois corings and extensions which work for corings without...

Let and , where , and . Let be a set of continuous real-valued functions on . Then and are ifor ifWe show that these definitions are equivalent if and we give sufficient conditions for and to be absolutely equally distributed with respect toand

This paper deals with some additive functionals of the fractional Brownian motion that arise as limits in law of some occupation times of this process. In concrete, this functionals are obtained via the Cauchy principal value and the Hadamard finite part. We derive some regularity properties of...

In this paper we describe one mathematical model of budget formation according to the fuzzy set theory. The procedure of -surgery is established that enables us in case of insufficient sums to distinguish more priority fields together with vitally important (homeostatic) ones from the aggregate...

The parametric bootstrap is a method for variance estimation advocated by many researchers in multiple capture studies. Most applications thus far used the parametric bootstrap in log-linear modelling, that is, where there are possibly categorical covariates which relate to the probabilities of...

The inversion formula for evaluation of the distribution of a linear combination of independent and random variables, respectively, is suggested. The method is applied to computing the exact confidence intervals for the common mean of several normal populations. This method is compared with the...

A new approach to the problem is presented. The difficulty of the problem is characterized by the existence of two kinds of chaining processes. A conjecture claiming that the two examined chaining are the only possible is formulated. Should such conjecture be true, the approach could be...