Bayesian Spectrum Analysis and Parameter Estimation

This work is essentially an extensive revision of my Ph.D. dissertation, [1J. It 1S primarily a research document on the application of probability theory to the parameter estimation problem. The people who will be interested in this material are physicists, economists, and engineers who have to dea...

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Bibliographic Details
Main Author: Bretthorst, G. Larry
Format: eBook
Language:English
Published: New York, NY Springer New York 1988, 1988
Edition:1st ed. 1988
Series:Lecture Notes in Statistics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction
  • 2 Single Stationary Sinusoid Plus Noise
  • 3 The General Model Equation Plus Noise
  • 4 Estimating the Parameters
  • 5 Model Selection
  • 6 Spectral Estimation
  • 7 Applications
  • 8 Summary and Conclusions
  • A Choosing a Prior Probability
  • B Improper Priors as Limits
  • C Removing Nuisance Parameters
  • D Uninformative Prior Probabilities
  • E Computing the “Student t-Distribution”