Computation of Reliability Statistics for Finite Samples of Success-Failure Experiments

Abstract: Computational method for statistical measures of reliability, confidence, and assurance are available for infinite population size. If the population size is finite and small compared to the number of samples tested, these computational methods need to be improved for a better representation of reality. This article discusses how to compute reliability, confidence, and assurance statistics for finite number of samples. Graphs and tables are provided as examples and can be used for low number of test sample sizes. Two open-source python libraries are provided for computing reliability, confidence, and assurance with both infinite and finite number of samples.