The paper is dedicated to the methodology of calculation, description of the properties and practical appliance of the realized volatility estimation, and its usage in the VaR calculation. The aim of the research is comparing of the realized volatility calculation methods, some of them are...

The problem of testing the hypothesis of stochastic nonstationarity (structural changes, unit roots) in univariate time series is studied in the paper. A new method of distinguishing between hypotheses of an unknown point of structural break and a unit root is proposed and its properties in the...

In this paper we show that for D-optimal design, departures from the design are much less important than a depar-ture from a model. As a consequence, we propose, based on D-optimality, a rule for choosing the regression degree. We also study different types of departures from the model to define...

Estimation methods of stationary random sequences extreme values characteristics are presented in the paper. The econometric models AR(1), GARCH(1,1) are suggested as ones of sequences of extreme values. Computing experi-ments on comparative analysis of the classical econometric models with the...

The method of evaluation of stochastic volatility (SV) model coefficients, with time going to the infinity, is consid-ered. The problem of finding the solution of a system of stochastic differential equations is reduced to that of the analytical solution of the Fokker-Planck-Kolmogorov...

By methods of wave dynamics nonlinear equations for economic dynamical processes are derived. They deal both with the transition probabilities of Markov diffusion processes and the ones of random functions values. By using the mean curves of variations of random functions values with respect to...

By using the Pontryagin maximum procedure the author has found an optimal dynamic rule for the distribution of labor, investment, and material resources between the sectors of the open three-sector economy according to the maximi-zation criterion of discounted marginal consumption

The method of evaluation of stochastic volatility (SV) model coefficients, with time approaching the infinity, is consid-ered. The problem of finding the solution of a system of stochastic differential equations is reduced to that of the ana-lytical solution of the Fokker–Planck–Kholmogorov...

Accidents forecast of various nature with sufficient economic damage, maximal loss enhancement, elimination of their consequences is a national wide problem It is an important concern of authorities and all levels management In order to solve this problem we need a forecast system for...

A mathematical economic model of measuring a worker’s potential and cost-of-living is proposed. Two aspects of the problem of untimely loss of an average statistical demographic element are considered: loss of profit for the regional business system as a whole and the lost value for the...