Analytical formulation of the single-visit completeness joint probability density function
arXiv:1607.01682 · doi:10.3847/0004-637X/828/1/20
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
Accepted for publication in the ApJ. For example code, see https://github.com/dgarrett622/FuncComp
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