Estimating Intensity and Mean Value Function
Published Online: 15 FEB 2011
Copyright © 2010 John Wiley & Sons, Inc. All rights reserved.
Wiley Encyclopedia of Operations Research and Management Science
How to Cite
Giorgio, M. and Pulcini, G. 2011. Estimating Intensity and Mean Value Function. Wiley Encyclopedia of Operations Research and Management Science.
- Published Online: 15 FEB 2011
This article provides nonparametric and parametric estimation procedures of the intensity function and of the mean value function of point stochastic processes describing the failure process of repairable systems. Data arising both from a single repairable system and from multiple repairable systems are analyzed. A specific attention is devoted to two frequently used processes: the homogeneous Poisson process and the power law process. Two numerical examples are then given to illustrate the estimation procedures.
Keywords: CIF; power-law process; Poisson process; MLE; repairable system; mean value function; rate of occurrence of failures