Parameter Estimation for a Two-State Semi-Markov Model of a Univariate Point Process.

Abstract

Using the convenient second-order interval properties of a two-state semi-Markov model for a univariate point process, an automated technique for the estimation of the parameters in the model was researched and discussed. The power spectral density of intervals was estimated by the periodogram and a Kolmogorov-Smirnov test of fit was conducted. The asymptotic exponential distribution and independence of the periodogram points were used to calculate an approximate likelihood function. A system of equations was then formed to find the maximum likelihood estimates of the parameters. (Modified author abstract)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1974
Accession Number
AD0776537

Entities

People

  • James Leroy Hornback

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Equations
  • Intervals
  • Markov Models
  • Models

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Statistical inference.