Statistical Estimation of Discriminant Space using Various Projection Indices

Projection pursuit is a method for finding interesting projections of high-dimensional multivariate data. Typically interesting projections are found by numerical maximizing some measure of non-normality of projected data (so-called projection index) over projection direction. The problem is to select the index for projection pursuit. In this article we compare performance of five projection indices: projection indices based on omega2, Omega2, Kolmogorov-Smirnov goodness-of-fit measures, entropy index and Friedman's index. It is supposed that observed random variable satisfies a multidimensional Gaussian mixture model

Process Distribution in the Network Systems

Performing risk analysis of systems, evaluating reliability of technological objects, hazard of technological processes, we usually have to systems of network type and distribution of various processes in such systems. A well-known mathematical apparatus of diffusive processes example is dispersion in continuum medium (air, water, etc.). Process distribution in network systems is simpler, however, it much depends on network features. In this article theory of Markov chains is selected, distributions of different processes in transitional regimes are analysed as well as issues of their stability. Created models may be used in many different ways, for example, for the analysis or viruses in computer networks, hazard distribution in transport systems regarding transportation of hazardous materials, etc