Confidence bands for the CDF when sampling from a finite population.

We develop two methods for obtaining a confidence band for the cumulative distribution function (CDF) based on a simple random sample from a finite population of known size. The methods are exact when the population contains no repeated values, and conservative otherwise. The first method consists of using a Kolmogorov-Smirnov-type band, and the second method consists of combining together separate, equal-coverage-probability confidence intervals for each ordered population value. Confidence bands obtained using either method yield simultaneous confidence intervals for all ordered population values. Coverage probabilities are computed using a new recursive algorithm.

Main Author: Frey, Jesse.
Language: English
Published: 2009
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176361