Отдых россиян за рубежом: о чем говорят статистические данные?
In the paper tourist trips of Russians abroad were studied and major trends were identified. The main indicators of international tourism in the world and Russia were analyzed. The impact of socio-demographic characteristics of the individuals on the likelihood of a tourist trip abroad was simulated on the basis of binary choice models.
The purpose of this article is to provide a mathematical model to numerically estimate the parameters of the life cycle of the technical documentation on high-tech enterprises. Methodology of constructing such a model based on the consideration of statistical regularities of the life cycle of technical documentation involved in different projects. It uses data from the knowledge base of the enterprise. This work has revealed the basic rules of constructing mathematical models of similar estimates of the parameters of the life cycle of technical documentation as a result. This article is focused on the duration as a parameter of the life cycle. The constructed model analysis is universal and applicable to almost any high technology enterprise, which has its own knowledge base. Sure thing that the task of evaluating the various parameters of the life cycle of the technical paper is very relevant. Managers often must be aware of the total material costs of the project with a specific set of technical documentation before it starts. The constructed model is based on statistical regularities that exist for various projects in the enterprise, separated in time, thereby allowing the manager to have an idea about the project before it starts.
In the paper integrated information systems for corporate planning and budgeting are considered. Four groups of practical tasks exceeding the bounds of typical functionality of special-purpose planning and budgeting information systems are allocated. Several classes of information systems (simulation, statistical analysis, financial analysis and modeling, group decision making, business intelligence), which may provide the completeness of corporate planning and budgeting are denoted as solutions complementary to special-purpose planning and budgeting systems.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.
The paper studies a problem of optimal insurer’s choice of a risk-sharing policy in a dynamic risk model, so-called Cramer-Lundberg process, over infinite time interval. Additional constraints are imposed on residual risks of insureds: on mean value or with probability one. An optimal control problem of minimizing a functional of the form of variation coefficient is solved. We show that: in the first case the optimum is achieved at stop loss insurance policies, in the second case the optimal insurance is a combination of stop loss and deductible policies. It is proved that the obtained results can be easily applied to problems with other optimization criteria: maximization of long-run utility and minimization of probability of a deviation from mean trajectory.