A Monte Carlo Method for Including Chandra Instrument Response Uncertainties in Parameter Estimation Studies

Computer Science

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Including allowance for instrument calibration uncertainties in data analysis is technically challenging in terms of both understanding and specifying the uncertainties themselves, and in developing appropriate algorithms to employ them. Calibration uncertainties are generally correlated in complicated ways, rendering traditional methods of error analysis inappropriate. Here we describe a Monte Carlo method in which current knowledge of the response of the Chandra ACIS instrument is represented by random sampling of plausible perturbations to anominal response function. The resulting set of response functions are employed in parameter estimation exercises to assess the effects of the instrument uncertainties on derived parameter values. We use this method to assess the limiting accuracy of Chandra for understanding typical X-ray source model parameters. We briefly describe a code slated for public release that will enable end users to perform similar full error analyses on Chandra ACIS observations.

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