We show that a hyperbolic system with a mathematical entropy can be discretized with vectorial lattice Boltzmann schemes using the methodology of kinetic representation of the dual entropy. We test this approach for the shallow water equations in one and two spatial dimensions. We obtain interesting results for a shock tube, reflection of a shock wave and non-stationary two-dimensional propagat...

BACKGROUND Peritoneal dialysis has a number of complications including increased blood glucose. Although exercise has been suggested to resolve this complication, most patients are not active. The present study aimed at determining the effects of twice-weekly, 40-min sessions of pedaling on a stationary bicycle on mean fasting blood sugar (FBS) and 2-h postprandial blood sugar (PPBS) among cont...

The analysis of regression coefficients is an important issue in different scientific areas, mostly because conclusions about the relationship between variables, like causal interpretations, are drawn based on these coefficients. This paper focuses on the description of the null hypothesis of invariance of regression coefficients for multidimensional stochastic regressors. In this study, it is ...

We modeled and applied Stochastic COntext Tree (SCOT) for statistical inference about financial, literary and seismological stationary strings. We analyzed several models viewed as simplified approaches to financial modeling: evaluate their stationary distribution, entropy rate and convergence to the Brownian motion. We also estimated the SCOT parameters and tested homogeneity of data strings u...

A new bound is proposed relating the average cost sub-optimality of a myopic policy to its differential cost error. The bound is an expectation over the stationary distribution for this policy. For small queueing networks, we compute or approximate the distribution using the matrix analytic method and numerically test the bound. Product form approximations to the stationary distribution are als...

We propose an extension of Thomson's multiple window spectrum estimation for stationary random processes to the time-varying spectrum estimation of non-stationary random processes. Unlike previous extensions of Thomson's method, in this paper we identify and utilize optimally concentrated window and wavelet functions for the time-frequency and timescale planes respectively. Moreover, we develop...

We consider statistical inference of trends in mean non-stationary models. A test statistic is proposed for the existence of structural breaks in trends. Based on a strong invariance principle of stationary processes, we construct simultaneous confidence bands with asymptotically correct nominal coverage probabilities. The results are applied to global warming temperature data and Nile river fl...

Methods and results of simulation modeling for the non-thermal emission from stationary plasma thrusters that being an interference for a channel of spacecraft communication with ground systems are discussed based on the test results. Comparative analysis is made for the statistical characteristics of stationary plasma thruster emission in the radio range obtained by tests and appropriate chara...

For data generated by stationary Markov chains there are considered estimates of chain parameters minimizing ^-divergences between theoretical and empirical distributions of states. Consistency and asymptotic normality are established and the asymptotic covariance matrices are evaluated. Testing of hypotheses about the stationary distributions based on (^-divergences between the estimated and e...

A globally convergent homotopy method is defined that is capable of sequentially producing large numbers of stationary points of the multi-layer perceptron mean-squared error surface. Using this algorithm large subsets of the stationary points of two test problems are found. It is shown empirically that the MLP neural network appears to have an extreme ratio of saddle points compared to local m...