Mathematics – Probability
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...364..699a&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 364, Dec. 1, 1990, p. 699-705.
Mathematics
Probability
184
Power Spectra, Solar Oscillations, Spectrum Analysis, Least Squares Method, Maximum Likelihood Estimates, Parameter Identification, Probability Density Functions
Scientific paper
To produce accurate estimates of the line-profile parameters of a model used to represent the spectral features in a solar oscillation power spectrum, it is necessary to (1) select the appropriate probability density function when deriving the maximum-likelihood function to be employed for the parameter estimation and (2) allow for the redistribution of spectral power caused by gaps in the data string. This paper describes a maximum-likelihood method for estimating the model parameters (based on the observed power spectrum statistics) that accounts for redistribution of spectral power caused by gaps in the data string, by convolving the model with the power spectrum of the observed window function. The accuracy and reliability of the method were tested using both artificial and authentic solar oscillation power spectrum data. A comparison of this method with various least-squares techniques is also presented.
Anderson Edwin R.
Duvall Thomas L. Jr.
Jefferies Stuart M.
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