[Gretl-users] Regression with ex-ante boundaries imposed on forecasted values

Dear forum,    this is more of a question related to econometrics. When, for example, your goal is to model/forecast weekly highs/weekly lows, when you run your regression on Tuesdays, you already know that the model should not predict a weekly high below the Monday's high. The Wednesday's prediction of the whole week's high should not be below max(mondayHigh, tuesdayHigh). My questions is whether there is an econometric tool/approach that is capable of estimating a model bearing this in mind. That is, I want the estimated coefficients to take into account, that the forecasts should not be below/above some value which changes over time (i.e. it is not a constant like e.g. zero or something).    Many thanks,  Daniel