In this paper, a method for detecting synergistic effects of the interaction elements in multi-element stochastic systems separate redundancy, multi-server queuing, and statistical estimates nonlinear recurrent relations parameters has been developed. The detected are quite strong manifest themselves even with rough estimates. This allows studying them mathematical methods relatively low comple...

for all mixed strategies Al, . ., ,, and i = 1, . . ., n in an n-person game r for all possible assignments of the pay-offfunction h is that r have total recall. Theorem 1 generalizes the theorem of von Neumann which asserts that a zero-sum two-person game with perfect information is strictly determined. It is proved by the same inductive device with a slight variation due to the absence of the...

Maintenance on the Conceptual Schema of a database is necessary when the current data structure can’t meet changed functional requirements. An additional requirement, not expressed in the demand for change, is to minimize the impact of change. The problem of minimizing impact of change on the data is often postponed to the implementation phase when data have to be migrated into the new structur...

This paper presents a detailed study of the numerical behaviour of stochastic weighted algorithms (SWAs) using the transition regime coagulation kernel and a multidimensional silica particle model. The implementation in the SWAs of the transition regime coagulation kernel and associated majorant rates is described. The silica particle model of Shekar et al. (2012, J. Aerosol Sci. 44 83–98) was ...

This work is focused on the application of functional-type a posteriori error estimates and corresponding indicators to a class of time-dependent problems. We consider the algorithmic part of their derivation and implementation and also discuss the numerical properties of these bounds that comply with obtained numerical results. This paper examines two different methods of approximate solution ...

We study the symmetry in short intervals of arithmetic functions with non-negative exponential sums. 1. Introduction and statement of the results. We pursue the study of the symmetry in (almost all) short intervals of arithmetical functions f (see [C1]), where this time we give (non-trivial) results for a new class of such (real) f ; the key-property they have is a non-negative exponential sum ...

Abs t rac t . An elementary "majorant-minorant method" to construct the most stringent Bonferroni-type inequalities is presented. These are essentially Chebyshev-type inequalities for discrete probability distributions on the set {0, 1 , . . . , n}, where n is the number of concerned events, and polynomials with specific properties on the set lead to the inequalities. All the known resuits are ...

In various statistical model, such as density estimation and estimation of regression curves or hazard rates, monotonicity constraints can arise naturally. A frequently encountered problem in nonparametric statistics is to estimate a monotone density function f on a compact interval. A known estimator for density function of f under the restriction that f is decreasing, is Grenander estimator, ...