Statistical analysis of a power-law model for repair data

The power-law process is an alternative model to the homogeneous Poisson process for analyzing repair data. When many nominally-identical systems are in service, the repair data for all systems can be used to assess the aptness of the power-law model. To test the hypothesis of a homogeneous Poisson process versus the power-law process, the maximum likelihood estimates of the power-law process parameters are used. A table of the critical values for the estimates is given, along with an example of their use.