2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139622In interval censored models with current status observations, the variables are indicators of the presence of individuals on observation intervals and covariates. When several individuals share the same observation interval, a simple procedure provides new estimators for the distribution of the observation times and their intensity, in a closed form. They are $n^{1/2}$-consistent for piece-wise constant covariates. Estimators of the sample-sizes are deduced and asymptotic $χ^2$ tests for independence of the observations on consecutive intervals and for independence between consecutive classes for the observed individuals are proposed.Submitted to the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)Statistics Theory60J25, 62A10, G2G05 (Primary)text