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Threshold effects onV/V max for gamma-ray bursts

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Abstract

The interpretation of the observedγ-ray burstV/V max statistic in terms of spatial distributions is model-dependent. Detection ofγ-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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  1. Department of Physics and Astronomy, Clemson University, USA

    D. H. Hartmann & L. -S. The

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Hartmann, D.H., The, L.S. Threshold effects onV/V max for gamma-ray bursts. Astrophys Space Sci 201, 347–358 (1993). https://doi.org/10.1007/BF00627206

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