We extend and refine conditions for "Luce rationality" (i.e., the existence of a Luce - or logit - model) in the context of stochastic choice. When choice probabilities satisfy positivity, we show that the cyclical independence (CI) condition of Ahumada and Ulk¨u (2018) and Echenique and Saito...

A two-parameter family of filters is proposed in which the HP filter is considered as the lowest order member. While the HP filter converges to linear time trend as the smoothing factor grows, the higher order members of the proposed family converge to higher order polynomial time trends. The...