It's my understanding that most Christians have never had an overtly spectacular, extraordinary, supernatural experience themselves, yet they find no problem in holding very specific supernatural beliefs (e.g. the resurrection of Jesus) based on the eyewitness accounts of others (e.g. the apostles, as recorded in the gospels). However, doctrines such Continuationism can find support on the basis of eyewitness accounts as well, yet Cessationists would object to those as unreliable. Latter-day Saints also appeal to the first-hand accounts of 3 & 8 witnesses as supportive evidence for the supernatural origin of the book of Mormon (see this answer for an eloquent presentation of this argument), yet non-LDS Christians would object to those as unreliable as well.
When it comes to assessing the reliability of eyewitness accounts as supportive evidence for specific supernatural beliefs, is there anything close to a consensus on how to make these kinds of judgments? Has any denomination or Christian scholar published a set of principles on how to judge the credibility of eyewitness accounts and applied them to concrete cases, such as the apostles (in the case of the resurrection of Jesus) or the eyewitnesses to the golden plates (in the case of Joseph Smith and the book of Mormon)?