科研之友
微信
新浪微博
Facebook
分享链接
摘要
The contribution of the theory of scan statistics to the study of many real-life applications has been rapidly expanding during the last decades. The multiple scan statistic, defined on a sequence of n Bernoulli trials, enumerates the number of occurrences of k consecutive trials which contain at least r successes among them (r <= k <= n). In this paper we establish some asymptotic results for the distribution of the multiple scan statistic, as n, k, r -> infinity and illustrate their accuracy through a simulation study. Our approach is based on an appropriate combination of compound Poisson approximation and random walk theory.
- 出版日期2017-3
