The correct term is crime typology.
Crime typology involves classification of particular crime based on either legal categories, offender motivation, victim behavior, or the characteristic of criminal.
The other terms meanings are as follows:
-Crime analysis involves systematic study and on how the certain crime happens by identifying its patterns and trends, information which is then geared on low enforcers can curb it.
-Crime mapping involves identification of the crime hot spots where those crimes are prone to occur or targeted.
-Crime profiling: involves the process of characterizing the nature of the crime by identifying and collecting evidence from the crime scene and how it looks like, the criminal who committed the crime and his mindset or motive of crime and circumstances which led to the crime.
