Classification of Intermittent Dependent Observations

Abstract

Each of J items has a characteristic Signature which varies in time. At time 0, the value of a Signature and the identity of the corresponding item are known. No further values of Signatures are observed until a later time T greater than 0. At time t a Signature associated with an unknown item is observed. The problem is to estimate the identity of the item whose Signature is observed at time t. The estimation procedure studied is to estimate the identity of the item that is associated with the Signature at time t to be that one which maximizes the posterior probability of being associated with the observed Signature. Univariate and multivariate Gaussian and univariate Cauchy autoregressive processes are considered as models for the Signatures. The robustness of the univariate Gaussian, (respectively Cauchy), procedure when applied to Cauchy, (respectively Gaussian) data is studied. The results suggest that the Gaussian classification procedure is biased towards classifying the Signature observed at time t as being associated with the same item that is associated with the Signature at time 0. The Cauchy procedure is biased towards classifying a Signature observed at time t as being associated with a different item than the one associated with the Signature at time 0.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1990
Accession Number
ADA231605

Entities

People

  • Donald P. Gaver Jr.
  • Patricia A. Jacobs

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Biostatistics
  • Business Administration
  • California
  • Covariance
  • Health
  • Identities
  • Normal Distribution
  • Operations Research
  • Probability
  • Public Health
  • Random Variables
  • Sequences
  • Simulations
  • Standards
  • Statistics
  • Stochastic Processes
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Linear Algebra
  • Radar Systems Engineering.