I personally think it adds to my credibility that I admit that it could be a coincidence. I do know, however, that many people in my life have shared with me anomalous experiences. While I was working on a political campaign last year, the person I was working with shared his NDE with me. When I was dating my girlfriend last year, she mentioned that the house that she had moved to in Oakland, Chicago was formerly owned by a person that was an occultist. She told me that while she was there, her family members both were assaulted by some kind of dark shadow that moved like some kind of fog or smoke. I later collaborated this story with her mother, and she assured me that it was true. It turns out that they found in the house various Satanic iconography, including a pentagram that was under the stairs of the basement.
I also had a childhood friend tell me that he experienced a similar phenomenon in his old house, and his sister and his mother both collaborated his story. He also admitted to me that he had a dream about meeting his next door neighbor before it happened. I don't know how or why, but for some reason, people have always felt comfortable to tell me about the experiences they've had, perhaps because I have a non-judgemental though skeptical attitude towards most things. The other time I had someone mention something strange happening was a caretaker named Kris who worked at a nursing home. She mentioned that various things would happen while she worked her shifts: nothing malevolent, just odd. Objects would move on their own, doors would open and close and sometimes stay open for long periods of time, random drafts of cold air were commonly felt. One time she told me that she saw a waste container move all on its own to the other side of the room.
Needless to say, having had so many people share their experiences with me, I am inclined to believe there is something to them, especially since precognitive dreams seem to be fairly common in the literature.