论文标题
盖亚宇宙中的本福德法律
Benfords law in the Gaia universe
论文作者
论文摘要
本福德法律指出，对于涵盖广泛动态范围的规模和基础不变数据集，第一个重要数字的分布偏向低值。对于包括财务，地理和原子数据在内的截然不同的数据集，这已被证明是正确的。在天文学中，较早的工作表明，本福德法律还拥有估计是ESA Hipparcos任务的视差倒数的距离。我们调查了本福德法律是否仍然适用于Gaia（Gaia DR2）第二个数据发布中包含的13亿横幅。与以前的工作相反，我们还包括负性视差。我们检查了使用贝叶斯方法而不是视差倒置计算得出的距离估计是否仍遵循本福德法律。最后，我们研究了本福德法律作为盖亚视差零点的验证工具的使用。
Benfords law states that for scale- and base-invariant data sets covering a wide dynamic range, the distribution of the first significant digit is biased towards low values. This has been shown to be true for wildly different datasets, including financial, geographical, and atomic data. In astronomy, earlier work showed that Benfords law also holds for distances estimated as the inverse of parallaxes from the ESA Hipparcos mission. We investigate whether Benfords law still holds for the 1.3 billion parallaxes contained in the second data release of Gaia (Gaia DR2). In contrast to previous work, we also include negative parallaxes. We examine whether distance estimates computed using a Bayesian approach instead of parallax inversion still follow Benfords law. Lastly, we investigate the use of Benfords law as a validation tool for the zero-point of the Gaia parallaxes.
