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The power spectrum and the voxel intensity distribution (VID) are two of themain proposed summary statistics to study line-intensity maps. We reformulatethe derivation of the VID in terms of the local overdensities and derive forthe first time an analytic covariance between the VID and the line-intensitymapping power spectrum. We study the features of this covariance for differentexperimental setups and show that we can recover similar results tosimulation-based covariances. With this formalism, we also compute the cosmicvariance contribution the VID uncertainty, which we find to be subdominant withrespect to the standard variance from Poisson sampling. Our results allow forgeneral joint analyses of the VID and the line-intensity mapping powerspectrum.

Analytical covariance between voxel intensity distributions and line-intensity mapping power spectra