As far as the sensational crime stories go, yes, out of a population that is over one million, there will be plenty of rapists and thieves and murderers. There's no justification for this behavior, of course. However, there are obvious issues when attempting to compile crime data on these populations and comparing them to the domestic population at large: there are going to be obvious reporting discrepancies that are accounted for by differing cultural norms surrounding crime and how it is conducted and done, more particularly surrounding rape/sexual assault.
What dependencies? Can you be more specific? Non-consentual sex is non-consentual regardless of your ethnic background.
Sweden has significantly altered its sex crimes laws over the past thirty years to the point that they're the most stringent in the world. The immigration theory is quite hard to prove or disprove for the lack of sufficient data on them, but the statistics will appear inflated (compared to most other countries, certainly) because repeat offenses are counted separately and they stay in the records even if they go uncharged.
Victims are much likelier to report that they've been raped in Sweden because of those laws, and culture, and a widened definition of rape that distinguishes itself from other sex-related crimes.
