Threshold effects onV/V
max for gamma-ray bursts |
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Authors: | D H Hartmann L -S The |
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Institution: | (1) Department of Physics and Astronomy, Clemson University, USA |
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Abstract: | The interpretation of the observed-ray burstV/V
max statistic in terms of spatial distributions is model-dependent. Detection of-ray bursts requires the counting rate in one or more detectors to exceed a thresholdC
lim determined from a time-dependent background rateB(t). The sampling depth of the burst detector is thus time-dependent, and, if burst sources are non-uniform in space, the observedV/V
max distribution will be affected byB(t). We demonstrate this effect with a simple geometric distribution of standard candles and argue thatV/V
max statistic without information on threshold variations is insufficient for rigorous data analysis. Peak count rates and threshold values must be given separately for all events in order to facilitate a meaningful comparison of observations with theoretical distribution models. |
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Keywords: | |
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