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arXiv 1503.09027astro-ph.IMhep-exstat.AP
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交叉校准空气簇射探测器的似然方法

A likelihood method to cross-calibrate air-shower detectors

H. P. Dembinski, B. Kégl, I. C. Mariş, M. Roth, D. Veberič

摘要:

我们提出了一个详细的统计处理的混合空气簇射探测器,它结合了表面探测器阵列和荧光探测器的能量校准,以获得校准曲线的无偏估计。空气淋浴校准数据的特殊功能,防止无偏的结果,如果一个标准的最小二乘拟合应用于这个问题。我们开发了一个通用的最大似然方法,详细的统计模型的基础上,来解决这个问题。我们的方法是为皮埃尔俄歇天文台开发的,但所应用的原理是通用的,可以转移到其他的空气淋浴实验,甚至其他观测的交叉校准。由于我们的一般似然函数是昂贵的计算,我们得到两个近似值显着较小的计算成本。近年来,这两种方法都被用来校准皮埃尔俄歇天文台的数据。我们证明,这些近似引入可忽略不计的偏见时,他们被应用到模拟玩具实验,模仿现实的实验条件。

英文摘要:

We present a detailed statistical treatment of the energy calibration of hybrid air-shower detectors, which combine a surface detector array and a fluorescence detector, to obtain an unbiased estimate of the calibration curve. The special features of calibration data from air showers prevent unbiased results, if a standard least-squares fit is applied to the problem. We develop a general maximum-likelihood approach, based on the detailed statistical model, to solve the problem. Our approach was developed for the Pierre Auger Observatory, but the applied principles are general and can be transferred to other air-shower experiments, even to the cross-calibration of other observables. Since our general likelihood function is expensive to compute, we derive two approximations with significantly smaller computational cost. In the recent years both have been used to calibrate data of the Pierre Auger Observatory. We demonstrate that these approximations introduce negligible bias when they are applied to simulated toy experiments, which mimic realistic experimental conditions.

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