Simultaneous confidence intervals for the logistic distribution

R. Srinivasan, B. Michael Wharton · Journal of Statistical Computation and Simulation · 1984

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.

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