Precision of power-law NHPP estimates for multiple systems with known failure rate scaling

In this paper, the extended case is considered where the recurrence rate between the different systems may vary with known scaling factors and it is shown that the standard error of the parameter estimates can be quantified using analytical formulae. The scaling factors allow to apply the model to a wider range of problems. The analytical solution for the standard error simplifies the application and allows to better understand how the precision of the model varies with the extent of available data. The good performance and the practical use of the method is illustrated in an example.