The statistics on this are fairly clear, but not very well published. It would certainly be possible to dig them up, but a comprehensive review would require a bit of work. You could find this in the official statistics, but newspaper folks are reluctant to compile them and put them on the front page.
In Norway, the per-capita rate of violent robberies, burglaries and violent rape is overwhelmingly larger in immigrant populations than the native. But it's a bit taboo to discuss this in polite company.
