Nonstationary and nonequilibrium processes are considered on the basis of an Enskog-Landau kinetic equation using a boundary conditions method. A nonstationary solution of this equation is found in the pair collision approximation. This solution takes into account explicitly the influence of long-range interactions. New terms to the transport coefficients are identified. An application of the b...

The nonstationary loss queue is of great interest since the arrival rate in most communication systems varies over time. In view of the difficulty in solving the nonstationary loss queue, various approximation methods have been developed. In this paper, we review several of these approximation methods and present a new technique, the fixed point approximation (FPA) method. Numerical evidence po...

The emphasis in this article is on the study of nonstationary two-dimensional (2-D) random fields with wide-sense stationary increments, wide-sense stationary jumps, and 2-D fractional Brownian motion (fBm) fields. The effort made in this work is to develop a realizable method of stationarization provided for nonstationary 2-D random fields. We also present the correlation functions of the disc...

The paper deals with the classification task, where patterns are nonstationary. The method ensures the minimum expected value of misclassifications and is independent of patterns' shapes. This procedure eliminates elements of patterns with insignificant or even negative influence on the results' accuracy. Appropriate modifications follow the classifier parameters, which increases the effectiven...

A new method of nonstationary signal analysis, called time-correlation analysis (TCA), is applied to a class of nonstationary random signals containing time distortion. The method reveals a relationship between the TCA summary statistics and the distortion and leads to two nonparametric estimators for the distortion function. An example is given that demonstrates the application of the TCA meth...