Erich Gundlach erich.gundlach says you definitely can use JMP’s reliability platforms to analyze censored, non-reliability data. Here are papers that present a couple of approaches you might consider for handling censored, non-reliability data in JMP.
Your Data Is Censored, Now What? Jose Ramirez zeneos describes how to perform distribution analyses for censored data using the Life Distribution platform, drawing analogies to the Distribution platform, and will show how to calculate lower- and upper-tolerance bounds using distribution percentiles.
When Responses Are Below the Limit of Detection Di Michelson di.michelson summarizes a presentation she and Mark Bailey MarkBailey gave at a Midwest SAS Users Group.