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)

Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1973
Accession Number
AD0771643

Entities

People

  • Wassily Hoeffding

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Distribution Functions
  • Gaussian Processes
  • Information Science
  • Information Theory
  • Nonparametric Statistics
  • Stationary
  • Stationary Processes
  • Statistical Analysis
  • Statistics
  • Stochastic Processes
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.

Technology Areas

  • Space