摘要
ＬＩＭＩＴＬＡＷＳＯＦＬＩＦＥＴＩＭＥＦＯＲＡＣＯＮＳＥＣＵＴＩＶＥＫ－ＷＩＴＨＩＮ－Ｍ－ＯＵＴ－ＯＦ－ＮＳＹＳＴＥＭ￥ＱＩＹｏｎｇｃｈｅｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｏｂｏｂｉｌｉｔｙａｎｄＳｔａｔｉｓｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ...
A consecutive k-within-m-out-of-n system consists of n identical and stochastically independent components arranged on a line (or circle).The system will fail if andonly if within m consecutive components, there are at least k failures. Let Tn be thesystem's lifetime. We prove that only two types are possible for limit distribution of Tn.We also give the conditions under which there exist {an}, {bn}, an > 0, bn∈R such that(Tn - bn)/an converges in distribution to the two given limit types.
