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Is crime concentrated or are we simply using the wrong me...
Rafael Prieto Curiel · 2019-02-07 · via math.PR updates on arXiv.org

Crime is highly concentrated in a few places, is committed by a few offenders and is suffered by a few victims. In recent decades, the concentration of crime has become an accepted fact, yet, little is known in terms of how to measure this concentration of crime such that the metric takes into account the fact that crime has, in general, a low frequency, it fluctuates, it is highly concentrated and has a certain degree of randomness. Here, the most frequently used metrics for concentration of crimes are reviewed. A null model with complete randomness is used for comparing between different concentration metrics, which allows constructing a sensitivity analysis for every metric against varying crime rates. Results show that most ways of measuring the concentration of crime are in fact, showing only that crime is rare or that it has fluctuations, but fail to work as a method to compare the concentration of crime between different regions, types of crime or across time.