http://popups.lib.uliege.be/1373-5411/index.php?id=2189 Publications of Auteurs Kristine Rozite fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=2741 Based on a random sample from the Weibull distribution with unknown shape and scale parameters, lower and upper prediction limits on a set of m future observations from the same distribution are constructed. The procedures, which arise from considering the distribution of future observations given the observed value of an ancillary statistic, do not require the construction of any tables, and are applicable whether the data are complete or Type II censored. The results have direct application in reliability theory, where the time until the first failure in a group of m items in service provides a measure regarding the operation of the items, as well as in service of fatigue-sensitive aircraft structures to construct strategies of inspections of these structures ; examples of applications are given. Fri, 30 Aug 2024 15:11:10 +0200 Thu, 10 Oct 2024 16:28:03 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2741 http://popups.lib.uliege.be/1373-5411/index.php?id=2184 A primary application of regression analysis is prediction. In this paper, we consider the definition of the domain of the model in which prediction is valid. This is important because prediction made outside the domain may be unacceptably different from the true responses. We provide a criterion that can be used to decide whether prediction is valid at a certain point. The criterion is based on the existence of an unbiased estimate of the distribution function associated to the "future" observation. In addition, in the context of regression analysis, the categorical control problem that is quite different from the numerical control problem in the setting of the target is considered. Categorical control may be compared to interval prediction, whereas numerical control is compared to point prediction. Our derivation is based on the Scheffé-type simultaneous tolerance interval at two distinct points. Tue, 30 Jul 2024 12:43:28 +0200 Tue, 30 Jul 2024 12:43:35 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=2184