Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aas...193.4208l&link_type=abstract
American Astronomical Society, 193rd AAS Meeting, #42.08; Bulletin of the American Astronomical Society, Vol. 30, p.1312
Astronomy and Astrophysics
Astronomy
Scientific paper
Because all detectors have a limited range of sensitivity, most astronomical data suffers from some form of truncation, such as a lower limit in flux or magnitude. Accounting for this truncation is necessary if one is to draw conclusions from the data through, for example, frequency distributions or correlation studies. In some cases, the data can have both an upper and lower limit, which makes dealing with the truncation more complicated. An example which exhibits this characteristic is the peak of the nu F_ν spectrum of gamma ray bursts, Ep. We present new non-parametric statistical techniques to account for such doubly truncated data. We show how correcting for this truncation can produce a significant change in the shape of the Ep distribution of gamma ray bursts. We then discuss how to use these methods to perform accurate correlation studies on the data. In particular, we present correlations between Ep with fluence and peak flux, accounting for the upper and lower limit on Ep.
Lloyd Nicole M.
Petrosian Vahe
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