Repairable system failure prediction

[#1]

Hello,

Here is a general question for JMP experts:
say I have data on a system that fails with various failure modes. The data contains dates of repair on each components repair. I I know how to analyze this data for reliability as shown in video here:
https://community.jmp.com/t5/Mastering-JMP/Analyzing-Reliability-for-Repairable-Systems/ta-p/483465

However what I am interested is in predicting the time at which the system will fail in the future and the probability of that failure.

Any idea/suggestion on how to do that in JMP?
Thanks,

[#2]

I'm not an expert in repairable systems, but I'll offer two suggestions as a catalyst for further discussion (and to keep your post from falling off the front page with 0 replies):

1. Use the MTBF and Failure Intensity Profilers in the Reliability Growth platform as proxies for "time at which the system will fail and probability of failure". This link suggests that this is standard practice for repairable systems.
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2. (Perhaps not as statistically rigorous) If you hide and exclude any rows in your data that include 0 fixes, then you could treat the data as a non-repairable system and use the Life Distribution Profilers to model time (Distribution, Quantile, Density) and probability (Hazard Profile) of failures.
   1. 

I've attached a sample dataset with scripts for both of these approaches saved to the table.

[#3]

To clarify, after modeling the lifetime data, the model will predict the time at which the probability of failure is a given level or the probability of failure at a given time. Both predictions are generally extrapolations beyond observed events. They incur wide confidence intervals.