Affiliations: Department of Mathematics, University of Tennessee-Chattanooga, Chattanooga, TN 37403, USA. E-mail: [email protected]
Abstract: In this paper, we consider the long-run availability of a series system having several independent renewable components with Pareto distributed failure and repair times. We are interested in hypothesis testing and interval estimation of the availability of the system. For this problem, there are no exact or approximate tests or confidence intervals available in literature. Generalized test and a generalized confidence interval based on the generalized variable method are given. An example using the limited simulation study is given to illustrate and to demonstrate the advantages of the proposed generalized variable method over the approximate method.
Keywords: Availability, generalized tests, generalized p-values, Pareto distribution, series system