Simultaneous confidence intervals for the logistic distribution

Abstract

The problem of putting confidence bands on a logistic cumulative distribution function is considered. One and two-sided confidence bands on the entire cumulative distribution function and simultaneous confidence intervals for the interval probabilities under the distribution are constructed using Kolmogorov—Smirnov-type statistics. Small sample and asymptotic distributions of the relevant statistics arc provided so that the construction can be carried out in any practical situation.

Keywords:

• Logistic Distribution
• Kolmogorov-Smirnov Type Statistics
• Simultaneous Confidence Intervals
• Confidence Bands