On the Analytical Distribution of Superimposed Flares

Details On the Analytical Distribution of Superimposed Flares On the Analytical Distribution of Superimposed Flares

Jan 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004iaus..219..839a&link_type=abstract

Stars as suns : activity, evolution and planets, Proceedings of the 219th symposium of the International Astronomical Union held

Mathematics

Probability

Scientific paper

We present an exactly solvable statistical model which relates the probability density of flare amplitudes to the count rate histogram of observed light curves under the assumption that the flares occur at random and have similar shapes. The characteristic function (Fourier transform of the probability density) of the observed count rates is shown to be phic(s) = exp - lambda int-∞∞ dtbig[1-phia big(n(s)F(t)big)big] where phia(s) is the characteristic function of the flare amplitudes lambda is the flare rate n(s)=i-ieis accounts for the Poisson noise and F(t) is the flare shape convolved with the observational time bin. This result is evaluated for Lévy-distributed (powerlaw-type) flare amplitudes and applied to XMM observations of stellar flares from which estimates of the flare amplitude distribution are obtained.

Affiliated with

Also associated with

No associations

Rating

On the Analytical Distribution of Superimposed Flares 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 On the Analytical Distribution of Superimposed Flares, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Analytical Distribution of Superimposed Flares will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1546400