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arXiv · 1607.01682

Analytical formulation of the single-visit completeness joint probability density function

Daniel Garrett·Dmitry Savransky
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Abstract

We derive an exact formulation of the multivariate integral representing the single-visit obscurational and photometric completeness joint probability density function for arbitrary distributions for planetary parameters. We present a derivation of the region of nonzero values of this function which extends previous work, and discuss time and computational complexity costs and benefits of the method. We present a working implementation, and demonstrate excellent agreement between this approach and Monte Carlo simulation results

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Daniel Garrett, Dmitry Savransky. 2016-07-06. Analytical formulation of the single-visit completeness joint probability density function. https://doi.org/10.3847/0004-637x/828/1/20

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