In the paper D.Hoover, J. Keisler : Adapted probability distributions, Trans. Amer. Math. Soc. 286 (1984), 159–201 the notion of adapted distribution of two stochastic processes was introduced, which in a way represents the notion of equivalence of those processes. This very important property is hard to prove directly, so we continue the work of Keisler and Hoover in finding sufficient conditi...

Road traffic volumes in intercity roads are generally estimated by probability functions, statistical techniques or meta-heuristic approaches such as artificial neural networks. As the road traffic volumes depend on input variables and mainly road geometrical design, weather conditions, day or night time, weekend or national holidays and so on, these are also estimated by pattern recognition te...

Distance-dependent, pairwise, statistical potentials are based on the concept that the packing observed in known protein structures can be used as a reference for comparing different 3D models for a protein. Here, packing refers to the set of all pairs of atoms in the molecule. Among all methods developed to assess threedimensional models, statistical potentials are subject both to praise for t...

In this paper, on the basis of giving a reference amplitude value, the two-parameter analyzing model of the random signal is established by introducing two basic conceptions---the amplitude and the width. Based on which, the statistical distribution law of the random signal group’s characteristic parameters is studied. The experimental results show that the amplitude and the width counting stat...

This paper discusses certain properties of heterogeneous hypergeometric functions with two matrix arguments. These are newly defined but have already appeared in statistical literature and useful when dealing the derivation distributions for eigenvalues singular beta-Wishart matrices. The joint density function distribution largest eigenvalue can be expressed terms functions. Exact computation ...

Statistical continuum approach is used to predict effective conductivity of anisotropic random porous heterogeneous media using twopoint correlation functions. Probability functions play a critical role in describing the statistical distribution of different constituents in a heterogeneous media. In this study a three-dimensional two-point correlation function is utilized to characterize the an...

We derive a one-parametric family of entropy functions that respect the additivity condition, and which describe effects of finiteness of statistical systems, in particular, distribution functions with long tails. This one-parametric family is different from the Tsallis entropies, and is a convex combination of the Boltzmann-Gibbs-Shannon entropy and the entropy function proposed by Burg. An ex...

Abstract. The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques. The pathway model, recently introduced by Mathai (2005), is utilized for thermonuclear functions ...