一种推广到正常运动限制样本上的最大体密度估计
A maximum volume density estimator generalized over a proper motion-limited sample
摘要：
传统的Schmidt密度估计已被证明是无偏的和有效的，在一个规模有限的样本。在此之前，人们已经努力将其推广到具有非均匀密度和适当运动限制的情况下。这项工作表明，当时良好的假设一个适当的运动有限的样本不再足以应付现代数据。与当地休息标准相比，运动学差异较大的人群受影响最严重。我们表明，这种系统性的偏见，可以通过治疗发现分数不可分割的广义最大体积积。该处理可以应用于任何适当的运动有限的样品具有良好的知识的运动学。这项工作演示了方法，通过应用程序的一个模拟目录的白矮星，只有太阳附近的各种情况下，并与传统的治疗相比，使用泛星一样的特点调查。
英文摘要：
The traditional Schmidt density estimator has been proven to be unbiased and effective in a magnitude-limited sample. Previously, efforts have been made to generalize it for populations with non-uniform density and proper motion-limited cases. This work shows that the then-good assumptions for a proper motion-limited sample are no longer sufficient to cope with modern data. Populations with larger differences in the kinematics as compared to the local standard of rest are most severely affected. We show that this systematic bias can be removed by treating the discovery fraction inseparable from the generalized maximum volume integrand. The treatment can be applied to any proper motion-limited sample with good knowledge of the kinematics. This work demonstrates the method through application to a mock catalogue of a white dwarf-only solar neighbourhood for various scenarios and compared against the traditional treatment using a survey with Pan-STARRS-like characteristics.
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