Signal Detection, Target Tracking and Differential Geometry Applications to Statistical Inference.

Abstract

Signal detection and target tracking. A novel method known as polynomial rooting approach is proposed to obtain estimates of frequencies, amplitudes and noise variance of two-dimensional exponential signals. The consistency and asymptotic normality of the least squares estimators in a multidimensional exponential signal model are established. Significant contributions have been made to the design of observations, efficient estimation of target positions almost continuously in time and establishing correct association between estimates of target positions made at different time points. M-estimation. A unified theory of robust estimation is developed using the difference of two convex functions as the discrepancy measure. Quantile regression. The concept of a quantile regression function is introduced as the conditional mean of the response variable at the u-th quantile of the independent variable and applied to problems of inference when the independent variable in different samples are not comparable.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1997
Accession Number
ADA325625

Entities

People

  • Calyampudi Radhakrishna Rao

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Computational Science
  • Data Analysis
  • Data Mining
  • Data Science
  • Estimators
  • Information Processing
  • Information Science
  • Knowledge Management
  • Monte Carlo Method
  • Random Variables
  • Signal Processing
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Surveys
  • Two Dimensional

Readers

  • Radar Systems Engineering.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms