Hollander-Proschan Test

This test compares the theoretical reliability function to the Kaplan-Meier estimate. The actual computations for this test are somewhat complex, and you may refer to Dodson (1994, Chapter 4) for a detailed description of the computational formulas. The Hollander-Proschan test is applicable to complete, single-censored , and multiple-censored data sets; however, Dodson (1994) cautions that the test may sometimes indicate a poor fit when the data are heavily single-censored. The Hollander-Proschan C statistic can be tested against the normal distribution (z).
The Hollander-Proschan test is used in Weibull and Reliability/Failure Time Analysis ; see also, Mann-Scheuer-Fertig Test and Anderson-Darling Test .