In this paper, a statistical model is presented for decision making in repairing water pipes network. The water distribution system has been considered as a “repairable” system which is under repeating failure modes. From this, a practical model for anticipating the failure of the water pipes in repairable systems has been presented using the trend renewal process concept. In this process, the ...

In this paper, we discuss dierent predictors of times to failure of units censored in multiple stages in a progressively censored  sample from proportional hazard rate models. The maximum likelihood predictors, best unbiased predictors and conditional median predictors are considered. We also consider Bayesian point predictors for the times to failure of units. A numerical example and a Monte C...

  This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .