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The covariance model

Here, again, we follow the method of PRH92 to determine the covariance model for our continuum data. At this stage, we make the assumption that the underlying process is statistically stationary so that

equation164

where tex2html_wrap_inline991 is the autocorrelation function that we have to determine. This function is related to the first order structure function tex2html_wrap_inline993 by

equation166

and tex2html_wrap_inline993 can be approximated by forming pair-wise estimates for all distinct pairs of data points in the continuum light curve, and then binning by the time lag of the pairs. We find that the analytic form

equation168

fits the structure functions of this paper well. In fact, the reconstruction is fairly insensitive to the exact analytic form used to approximate the structure function.

Making the reasonable assumption that tex2html_wrap_inline997 as tex2html_wrap_inline999 , our final expression for the autocorrelation function is

equation174



Chris Reynolds
Tue Jan 11 17:27:37 MST 2000