Statistical Details for the Destructive Degradation Platform

The destructive degradation model can be expressed as follows:

where:

• g(Y) is the transformed Y variable

• F is the selected probability distribution

• μ is the location parameter, defined by h

• h is a function that relates the transformed Time variable and the explanatory variable X

• σ is the scale parameter of the distribution

• f(Time) is the transformed Time variable

• X is an optional explanatory variable

The standardized residuals are obtained as follows:

• For location-scale distributions, the standardized residuals are (y-μ)/σ.

• For log-location-scale distributions, the standardized residuals are (log(y)-μ)/σ.