This is especially true for second-generation immigrants. First generation immigrants are general less likely to commit crimes, but in countries like Germany and France the rate rises significantly with the second generation. That doesn't happen in the US or Canada, for example.
The children of immigrants in English speaking countries tend to do better financially than their parents whereas in many non-english speaking European countries the children of immigrants slide into poverty.
Edit: Here's a related article with some charts illustrating the correlation https://www.ft.com/content/c6bb7307-484c-4076-a0f3-fc2aeb0b6...