Publication date: 11/10/2021

In a competing cause situation, the aggregated failure function can be written as follows:

where Fi(x) is the cumulative failure distribution for the ith cause and k is the total number of causes. The function Fi(x) is cause-specific. It reflects the probability of failure due to cause i alone and does not account for other causes of failure.

An alternative formulation is defined as follows:

where each is a monotone increasing function with values in the interval [0, 1]. The function is called a subdistribution. This form of the aggregated failure distribution is used to predict proportions of failures that are associated with individual causes, accounting for failure due to other causes.

Want more information? Have questions? Get answers in the JMP User Community (community.jmp.com).