| Issue |
A&A
Volume 412, Number 3, December IV 2003
|
|
|---|---|---|
| Page(s) | 903 - 904 | |
| Section | Astronomical instrumentation | |
| DOI | https://doi.org/10.1051/0004-6361:20034401 | |
| Published online | 08 December 2003 | |
Research Note
On Maximum Likelihood Estimation of averaged power spectra
European Space Agency, Research and Science Support Department, Science Payload and Advanced Concept Office, PO Box 299, 2200Ag Noordwijk, The Netherlands
Corresponding author: Thierry.Appourchaux@rssd.esa.int
Received:
25
September
2003
Accepted:
7
October
2003
It is custom in helioseismology to assume that the power
spectra of time series of solar radial velocity or of solar
intensity have a 
with 2 degrees of freedom statistics.
This assumption is regularly used in helioseismology for using
Maximum Likelihood Estimators for single power spectra
with that assumed statistics. When
independent power spectra are added, it is also custom to assume
that the resulting power spectra can be approximated by a Gaussian
distribution. Here we show that this approximation is irrelevant,
and that the software code developed for fitting single power spectra
can be used without any approximation after proper normalization
of the added power spectra.
Key words: methods: data analysis / methods: statistical / methods: analytical / Sun: helioseismology
© ESO, 2003
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