I’ve been in a dream group for a few years now, and there certainly do seem to be some precognitive dreams sometimes. Of course, as the rationalist/materialist people will hasten to point out with great energy, it’s not entirely possible to rule out coincidence and attention bias, etc.
However, recently someone I know dreamed of a giant 8-foot tall chicken for the first time ever, and then passed a giant 8-foot-tall chicken statue in the back of a truck that following day. Not a very useful premonition, perhaps, but if someone ran the statistics of freaky coincidences, I suspect it would outweigh the cries of “that’s anecdotal” to at least the point that it might be studied seriously, although that tends to lead to harassment by “skeptics” and “debunkers”.
It seems to me that often the point of dreams (premonitory or not) is to get our attention, which such things do tend to do. Perhaps the purpose is to awaken alertness, curiosity, and attention to other dream elements or related things. Dreams can be very interesting and beneficial to tune into, and uncanny bits can get peoples’ attention. Before the materialist/rationalist craze, dreams used to be taken much more seriously in general.
Some people I know have also had useful premonitory dreams, or at least ones that alert them to serious issues with people they know, such as having a compelling dream about someone they haven’t thought of in a long time, getting them to call that person and it turns out it’s a very good time to have done that.
Asking “what’s the explanation?” is back in the materialist/rationalist mindset that much of modern Western culture is so anxious to cling to. As if there were really a ready answer for everything, and if there isn’t, it can be denied or ignored. There is a lot that people, even scientists expert in a particular field, don’t know. Actual science is about finding the most plausible theories, and questioning what we know, not about just knowing the answer. In the case of premonitory dreams, we really do not know “the explanation”.
One sort of theory involves the idea (whether from theoretical or quantum physics, or other sets of ideas) that time and causation and our awareness of them are not exactly just everything falling forward through time, with the future never accessible. So perhaps premonitions come from some aspect of that.
It reminds me of the study where group A and B are given a knowledge test, then they tell group B the answers, then they check the results, and find that group B did notably better than group A, even though they told B the answers after they took the test.