Analytical formulation of the single-visit completeness joint probability density function
Instrumentation and Methods for Astrophysics
2016-08-25 v1 Earth and Planetary Astrophysics
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
Cite
@article{arxiv.1607.01682,
title = {Analytical formulation of the single-visit completeness joint probability density function},
author = {Daniel Garrett and Dmitry Savransky},
journal= {arXiv preprint arXiv:1607.01682},
year = {2016}
}
Comments
Accepted for publication in the ApJ. For example code, see https://github.com/dgarrett622/FuncComp