STATISTICS OF MEASURING NEUTRON STAR RADII: ASSESSING A FREQUENTIST AND A BAYESIAN APPROACH
STATISTICS OF MEASURING NEUTRON STAR RADII: ASSESSING A FREQUENTIST AND A BAYESIAN APPROACH
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测量中子星半径的统计数据：评估频率方法和贝叶斯方法
DOI：
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发表时间：
2015
期刊：
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通讯作者：
D. Psaltis
中科院分区：
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作者：
F. Özel;D. Psaltis
用光谱和计时技术测量中子星星半径依赖于多个观测量的组合，以打破由广义相对论效应引入的质量和半径之间的简并。在这里，我们探讨了以前使用的频率和新提出的贝叶斯框架，以获得最有可能的值和不确定性，在这样的测量。我们发现，对于预期的范围内的质量和半径和现实的测量误差，频率论的方法遭受的偏差是大于所需的半径测量的精度，以区分不同的状态方程。相比之下，在贝叶斯框架中，推断的不确定性较大，但最可能的值不会受到这种偏差的影响。我们还研究了量化来自单一来源的不同光谱测量之间的一致性程度的方法。我们表明，仔细评估测量中的系统不确定性消除了引入特设偏差的需要，这会导致人为的大推断半径。
Measuring neutron star radii with spectroscopic and timing techniques relies on the combination of multiple observables to break the degeneracies between the mass and radius introduced by general relativistic effects. Here, we explore a previously used frequentist and a newly proposed Bayesian framework to obtain the most likely value and the uncertainty in such a measurement. We find that for the expected range of masses and radii and for realistic measurement errors, the frequentist approach suffers from biases that are larger than the accuracy in the radius measurement required to distinguish between the different equations of state. In contrast, in the Bayesian framework, the inferred uncertainties are larger, but the most likely values do not suffer from such biases. We also investigate ways of quantifying the degree of consistency between different spectroscopic measurements from a single source. We show that a careful assessment of the systematic uncertainties in the measurements eliminates the need for introducing ad hoc biases, which lead to artificially large inferred radii.