… and not process improvement.

When doing a process analysis the limits of a process should be well defined. While defining the limits of a process you have to know what is expected.  Under these conditions, process analysis includes process management (take an inventory of the current process limits and procedure). After process management is established the process development can tie on. Consider the demingcycle Plan-Do-Check-Act = Process developmentperforme processes-process analysis-process management followed by process development.