I really do think of editing as that process I go through at the front end of the processing process. IOW---I 'edit' my shots by choosing what will stay, what will go, rate them, delete some, etc.
You may find that this process is more accurately labelled by the term 'triage'.
I would tend to differentiate the three terms:
Processing is the steps that need to be performed to make the image displayable according to a well defined and FIXED set of tasks (though the parameters governing the tasks may change) - i.e it is about a process.
Editing is a stage beyond processing in that it is a VARIABLE set of tasks required to come up with a final image, where the operator decides which tasks and paramters to deploy in order to reach a final image. i.e. there is no fixed process.
Analysis is evaluating the input data with or without processing/ editing in order to present summarised information according to certain criteria.