The probability-density function of a Fourier line

Details The probability-density function of a Fourier line The probability-density function of a Fourier line

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...287..685g&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 287, no. 2, p. 685-691

Mathematics

Probability

14

Fourier Analysis, Power Spectra, Probability Density Functions, Statistical Analysis, Line Spectra, Maximum Likelihood Estimates, Solar Oscillations, Stochastic Processes

Scientific paper

It is usually assumed that the probability-density function of a line in a power spectrum is given by the product of chi22. This assumption rests on the hypothesis that Fourier points are statistically independent which is true only in the limit of an infinite observation time without any interruption in the data. We give a more accurate expression of that probability- density function and a rigorous one for the realization of a Fourier spectrum which can also be used to obtain the line parameters with the maximum likelihood method. One other interest of these formulae is that they provide an accurate method for line deconvolution. The theory is given both for uninterrupted and for interrupted sequences of data. Also we extend to this latter case results obtained earlier.

Affiliated with

Also associated with

No associations

Rating

The probability-density function of a Fourier line does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The probability-density function of a Fourier line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The probability-density function of a Fourier line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1252188