Open AccessStatistical analysis of random duration times
Author(s) -
Max Engelhardt
Publication year - 1996
Language(s) - English
Resource type - Reports
DOI - 10.2172/237434
Subject(s) - statistics , nonparametric statistics , cumulative distribution function , goodness of fit , hazard , reliability (semiconductor) , duration (music) , statistical model , mathematics , confidence interval , computer science , probability density function , art , literature , power (physics) , chemistry , physics , organic chemistry , quantum mechanics
This report presents basic statistical methods for analyzing data obtained by observing random time durations. It gives nonparametric estimates of the cumulative distribution function, reliability function and cumulative hazard function. These results can be applied with either complete or censored data. Several models which are commonly used with time data are discussed, and methods for model checking and goodness-of-fit tests are discussed. Maximum likelihood estimates and confidence limits are given for the various models considered. Some results for situations where repeated durations such as repairable systems are also discussed