Hi Shahin,
I will try to explain from what I understand.
When you performing a delay analysis for events, there are two situations:
1) the delay events are happening or going to happen , and your objective is to ESTIMATE the impacts from the delays so that the contractor and owner can make new agreement. This analysis is often performed while the project is in progress. AACE defines it as propsetive time impact analysis and you can find a guide from their website.
2) the delay events have happend already, and your objective is to Quantify the delays and Identify the Responsiblity by using actual data. Most of time this analysis is defined as "Forensic Time Impact Analysis" or "Retrospective Delay Analysis" because the impacts have already happened. This anlaysis is usually performed after the events happend or after the project is completed.
There are lots of methods for "Forensic Time Impact Analysis", and "Contemporaneous Time Impact Analysis" is just one of them which uses contemporaneous schedules (approved baseline, approved updates, and if really needed adjusted baseline and updates as well).
I hope it helps.
Best regards,
Pei