Simple and Efficient Estimation of Parameters of Non-Gaussian Autoregressive Processes

Abstract

A new technique for the estimation of autoregressive filter parameters of a non-Gaussian autoregressive process is proposed. The probability density function of the driving noise is assumed to be known. The new technique is a two-stage procedure motivated by maximum likelihood estimation. It is computationally much simpler than the maximum likelihood estimator and does not suffer from convergence problems. Computer simulations indicate that unlike the least squares or linear prediction estimators, the proposed estimator is nearly efficient, even for moderately sized data records. By a slight modification the proposed estimator can also be used in the case when the parameters of the driving noise probability density function are not known.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1986
Accession Number
ADA175395

Entities

People

  • Debasis Sengupta
  • Steven Kay

Organizations

  • University of Rhode Island

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Human Systems
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Computational Complexity
  • Computational Science
  • Computations
  • Computer Simulations
  • Estimators
  • Gaussian Processes
  • Maximum Likelihood Estimation
  • Military Research
  • Numbers
  • Probability
  • Probability Density Functions
  • Random Variables
  • Rhode Island
  • Simulations
  • Statistics
  • Test And Evaluation

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Statistical inference.