Mathematical Statistics and Communication Theory.
Wassily Hoeffding · Defense Technical Information Center (DTIC) · 1974
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)