NT scholar Craig Blomberg does a fine job in addressing this important subject.
The following is his section on miracles and the resurrection (the entire essay can be found here):
For some readers, potentially sympathetic to much of what we have already affirmed, the key sticking point remains the question of the supernatural. However strong the rest of the evidence may be, can we take seriously the historical claims of any documents as full of accounts of the miraculous as the canonical Gospels, and especially when so much hinges on the veracity of the most spectacular alleged miracle of all, namely, Jesus’ resurrection? The largest part of an answer to this question lies outside the scope of this essay because it involves the much broader question of worldview. Is there reason to believe in a God who created the universe in the first place? If there is, then miracles arguably become a priori possible and perhaps even likely. Has science truly demonstrated that the universe is a closed continuum of cause and effect? If so, then we must exclude the miraculous, at least as normally conceived. These issues must be thoroughly considered elsewhere.
What can be noted here as we near the conclusion of this study is that other ancient documents sometimes contain miracle narratives that don’t preclude historians, whatever their views of the supernatural, from deriving sober historical detail from many other portions of those works. A striking example involves the four existing accounts of Julius Caesar’s crossing of the Rubicon River, committing himself to the civil war that would lead to his becoming emperor and turning the republic into an empire. Often alluded to as one of the most historical (and historic) of events found in ancient Mediterranean sources, it is nevertheless accompanied in some accounts by miraculous apparitions (along with problems of harmonization and dating remarkably parallel to those among the New Testament Gospels). Yet classicists who reject the supernatural still confidently recover substantial historical information from all these accounts.
Biblical scholars who are open to the supernatural are often accused of adopting a double standard: they will accept various miracles stories in the Bible but not in other works of ancient history. This would indeed be a double standard if their only rationale for such judgments were the sources in which the various accounts appeared. But often the corroborating evidence simply remains stronger for the biblical accounts.57 On the other hand, there are a small number of claims of the miraculous at numerous junctures throughout history that do pass stringent criteria of authenticity, and there is no reason that Christian scholars should not accept them as well. God, in the Bible, often works through those who are not his people; human manufacture and diabolical influence are also possible sources for apparent miracle-working power.58 It is telling, moreover, to observe how often the closest parallels to canonical Gospel miracles appear in later Jewish or Greco-Roman sources,59 so that if any tradition influenced any other one, it would be Christianity being “copycatted” later. Demonstrably pre-Christian traditions do not present close parallels to the New Testament Gospels’ miracles at all.60
As for the topic of the resurrection in particular, again an entirely separate essay would be needed to do it justice. But we may at least note here that several undisputed historical facts are very difficult to explain apart from Jesus’ genuine, bodily return to life, including (1) how a small band of defeated followers of Jesus were transformed almost overnight into bold witnesses, risking death by proclaiming his bodily resurrection before many of the same people who fifty days earlier had participated in his crucifixion; (2) what motivated a group of devoted Jews to change what they believed to be the eternally immutable Sabbath (or day of rest and worship) from Saturday to Sunday; (3) why they claimed in all versions of their testimony that women, whose witness was usually inadmissible in ancient law courts, were the first and primary witnesses to the resurrection; (4) what led them to declare Jesus to be both Lord and liberator despite his death by crucifixion, already interpreted, in light of Deuteronomy 21:23, to represent God’s curse; and (5) how the Jewish expectation of all people being raised from the dead together at the end of time (Dan 12:2) allowed them to declare Jesus to have been raised in advance of Judgment Day and separate from the general resurrection. It takes greater faith to believe in the various alternative accounts of the rise of the resurrection traditions in the first years of Christianity than to accept the accounts as retold in the New Testament.