Jan M. van Noortwijk, Roger M. Cooke, and Jolanta K. Misiewicz. A characterization of generalized gamma processes in terms of isotropy. Technical Report 94-65, Delft University of Technology, Delft, The Netherlands, 1994.  Home/Search   Document Not in Database   Summary   Related Articles

....encoding a priori beliefs about the deterioration process in a prior distribution and for updating this distribution with new deterioration data using Bayes theorem. As Mazzuchi Soyer [11] note, only a few maintenance optimisation models are Bayesian in nature. Van Noortwijk, Cooke Misiewicz [14] have argued that deterioration can best be characterized by the generalized gamma process. Accordingly, it is possible to define discrete time deterioration processes for which the increments of deterioration are identically distributed exponential random quantities that are conditionally ....

....Burger Wijnmalen [8] and Pettit [15] However, this model implies the existence of periods in which the condition of the structure actually improves and, moreover, it gives rise to computational difficulties when applied to decision problems. Therefore, Van Noortwijk, Cooke Misiewicz [14] have argued that a deterioration process with linear drift can best be characterized by increments that are nonnegative, exchangeable, and isotropic, for every uniform time partition. For an infinite sequence of such increments, the corresponding stochastic process is the so called generalized ....

Jan M. van Noortwijk, Roger M. Cooke, and Jolanta K. Misiewicz. A characterization of generalized gamma processes in terms of isotropy. Technical Report 94-65, Delft University of Technology, Delft, The Netherlands, 1994.

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