标题： 伽马射线暴的通量分布 显示英文标题

标题： The Fluence Distribution of Gamma-Ray Bursts

摘要： 在伽马射线暴的使用和解释中，通常使用爆发峰值流量来表示$\log{N}$至$\log{S}$分布，而对于$S$来说，峰值流量可能是最合适的量度。 然而，我们这里考虑使用辐射通量作为衡量$S$的指标，这可能比峰值流量在如此高度变化的源中更为合适。 我们展示了如何利用 BATSE 触发数据确定辐射通量的选择效应。 然后采用在其他地方开发的技术来解释重要的阈值效应和相关性。 在对分布应用适当的校正后，我们得到了一个辐射通量分布，它显示出比峰值流量分布更尖锐的转折点，这意味着可能具有更窄的辐射通量亮度分布。 如果这些爆发位于宇宙学距离上，那么这些观测结果一起表明需要对亮度函数进行演化。 显示英文摘要

摘要： In the use and interpretation of $\log{N}$--$\log{S}$ distributions for gamma-ray bursts, burst peak flux has typically been used for $S$. We consider here the use of the fluence as a measure of $S$, which may be a more appropriate quantity than the peak flux in such highly variable sources. We demonstrate how using the BATSE trigger data we can determine the selection effects on fluence. Then using techniques developed elsewhere to account for the important threshold effects and correlations. Applying the appropriate corrections to the distributions, we obtain a fluence distribution which shows a somewhat sharper break than the peak flux distribution, implying a possibly narrower fluence luminosity distribution. If bursts are at cosmological distances, these observations together indicate that evolution of the luminosity function is required.