Mathematical Statistics and Communication Theory.
Abstract:
The research results were in the areas of 1 sample function properties for stochastic processes, 2 sure and stochastic signal in noise detection problems, with applications in information theory and statistical communication theory, 3 representation of equivalent Gaussian processes, 4 nonnegative definite functions and spectral measures, 5 non-stationary band-limited processes and the sampling theorem, 6 approximation of measurable processes by processes with continuous paths, 7 spectral and sample function properties of stationary processes with general parameter set and space of values, 8 unbiased and similar nonparametric tests, 9 linearly ordered generalized distribution functions with applications to nonparametric statistics, 10 distribution functions on sigma-lower finite spaces, and 11 a Prohorov metric type goodness-of-fit statistic. Modified author abstract