Accounting for Calibration Uncertainties in X-ray Analysis: Effective Areas in Spectral Fitting
Hyunsook Lee, Vinay L. Kashyap, David A. van Dyk, Alanna Connors, Jeremy J. Drake, Rima Izem, Xiao-Li Meng, Shandong Min, Taeyoung Park, Pete Ratzlaff, Aneta Si… 展开作者
Hyunsook Lee, Vinay L. Kashyap, David A. van Dyk, Alanna Connors, Jeremy J. Drake, Rima Izem, Xiao-Li Meng, Shandong Min, Taeyoung Park, Pete Ratzlaff, Aneta Siemiginowska, Andreas Zezas
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61 pages double spaced, 8 figures, accepted for publication in ApJ
While considerable advance has been made to account for statistical uncertainties in astronomical analyses, systematic instrumental uncertainties have been generally ignored. This can be crucial to a proper interpretation of analysis results because instrumental calibration uncertainty is a form of systematic uncertainty. Ignoring it can underestimate error bars and introduce bias into the fitted values of model parameters. Accounting for such uncertainties currently requires extensive case-specific simulations if using existing analysis packages. Here we present general statistical methods that incorporate calibration uncertainties into spectral analysis of high-energy data. We first present a method based on multiple imputation that can be applied with any fitting method, but is necessarily approximate. We then describe a more exact Bayesian approach that works in conjunction with a Markov chain Monte Carlo based fitting. We explore methods for improving computational efficiency, and in particular detail a method of summarizing calibration uncertainties with a principal component analysis of samples of plausible calibration files. This method is implemented using recently codified Chandra effective area uncertainties for low-resolution spectral analysis and is verified using both simulated and actual Chandra data. Our procedure for incorporating effective area uncertainty is easily generalized to other types of calibration uncertainties.
Global 21-cm signal extraction from foreground and instrumental effects IV: Accounting for realistic instrument uncertainties and their overlap with foreground and signal models
Accounting for the Known Unknowns: A Parametric Framework to Incorporate Systematic Waveform Errors in Gravitational-Wave Parameter Estimation
Institute for Gravitational and Subatomic Physics (GRASP), Utrecht University（引力与亚原子物理研究所（GRASP），乌得勒支大学）；Nikhef -- National Institute for Subatomic Physics（尼赫夫——荷兰亚原子物理国家研究所）
The statistical uncertainties on X-ray flux and spectral parameters from Chandra ACIS-I observations of faint sources: Application to the Cygnus OB2 Association
