Accession Number:

ADA209996

Title:

Statistical Communication Theory and Robust Estimation

Descriptive Note:

Final rept.

Corporate Author:

NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

Report Date:

1980-01-01

Pagination or Media Count:

29.0

Abstract:

Research completed includes consistent estimation of nonrandom signals from nonlinear transformations of noisy samples approximations of non- bandlimited signals using a finite number of samples and their rate of convergence infinite sampling approximations for non-bandlimited signals, and sampling representations for bounded linear operations on bandlimited signals, and for generalized bandlimited signals the evaluation of linear estimates and regression estimates in stable processes, including regression and linear filtering of signals in noise and certain probability and expectation inequalities. Research completed includes work in the following areas trimming least squares estimators in the linear model by using a preliminary estimator tests for heteroscedasticity in the linear model estimation of regression coefficients in a heteroscedastic linear model almost sure properties of robust regression estimates with applications to sequential clinical trials robust methods in factorial experiments studying sequential procedures for estimating the largest of three normal means nonparametric estimation of regression functions.

Subject Categories:

  • Statistics and Probability
  • Cybernetics
  • Command, Control and Communications Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE