  This article presents methods for the construction of two-sided and one-sided
simultaneous hyperbolic bands for the logistic and probit regression models
when the predictor variable is restricted to a given interval. The bands are
constructed based on the asymptotic properties of the maximum likelihood
estimators. Past articles have considered building two-sided asymptotic
confidence bands for the logistic model, such as Piegorsch and Casella (1988).
However, the confidence bands given by Piegorsch and Casella are conservative
under a single interval restriction, and it is shown in this article that their
bands can be sharpened using the methods proposed here. Furthermore, no method
has yet appeared in the literature for constructing one-sided confidence bands
for the logistic model, and no work has been done for building confidence bands
for the probit model, over a limited range of the predictor variable. This
article provides methods for computing critical points in these areas.
