Tommy Jarvis and Jamie Lloyd

From the Halloween 5 trivia page:

The Jamie Lloyd character has a striking parallel to the Tommy Jarvis character from the Friday the 13th series. Both characters appeared in the fourth, fifth and sixth films of their respective series. They were both about the same age in their first appearance. They both become institutionalized and develop homicidal tendencies themselves after the killer. In this film, Jamie starts out as a mute. In the fifth Friday the 13th, Tommy rarely speaks. At the end of that film, Tommy is seen holding a knife and essentially becomes Jason. At the end of the previous Halloween, Jamie is seen holding a pair of scissors and she essentially becomes Michael.