Before revision:  We cover fixed-T panel models  where the response variable is an unknown monotonic function of a linear latent variable with fixed effects, regressors, and a nonparametric error term . The function may be weakly monotonic and time-varying, and the fixed effects are unrestricted. We identify the structural parameters and features of the distribution of  fixed effects.
After revision:  We cover fixed-T panel models where the response variable is an unknown monotonic function of a linear latent variable with fixed effects, regressors, and an error term drawn from an unknown stationary distribution. Our results identify the transformation, the coefficient on regressors, and features of the distribution of fixed effects.