Multiple regression of GRB luminosity on light-curve properties
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Date
2009
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Oxford University Press
Abstract
Statistical relations between the luminosity L of gamma-ray burster (GRBs) and several of
their other observable properties have been discovered. Four of these properties are considered
here: the spectral lag; a measure of the light-curve variability; peak energy and the minimum
light-curve rise time. Data are taken from a tabulation by Schaefer. Log–log regression of L on
various combinations of the four light-curve properties, as well as redshift, is considered, using
conventional multiple linear regression, and multiple errors-in-variables regression. Several
cases are found in which the regression coefficients of more than one luminosity indicators are
significant. In particular, the simultaneous regression of luminosity on peak energy, spectral
lag, minimum rise time and redshift is meaningful.
Description
Keywords
Methods: statistical, Gamma-rays: bursts
Citation
Koen, C. (2009). Multiple regression of GRB luminosity on light-curve properties. Monthly Notices of the Royal Astronomical Society, 396(3): 1499–1506