Fig. 1.

(Left) Inverse bridge function 1 F⁻¹(τ, π₀) for the continuous/truncated variables pair. The arguments are Kendall’s Τ (x-axis) and the proportion of zeros π₀ in the truncated variable (y-axis). The function values correspond to latent correlations (z-axis). (Right) The estimated latent cutoff level Δ versus the proportion of zeros π₀ based on the moment equation $\widehat{\Delta }={\Phi }^{-1}({\pi }_0)$.