Characteristic Functions for Cosmological Cross-Correlations

Understand

We introduce a novel unbiased, cross-correlation estimator for the one-point statistics of cosmological random fields.

• One-point statistics are a useful tool for analysis of highly non-Gaussian density fields, while cross-correlations provide a powerful method for combining information from pairs of fields and separating them from noise and systematics.
• We derive a new Deconvolved Distribution Estimator that combines the useful properties of these two methods into one statistic.
• Using two example models of a toy Gaussian random field and a line intensity mapping survey, we demonstrate these properties quantitatively and show that the DDE can be used for inference.