Bounds for the Distribution of Two Dimensional Binary Scan Statistics
نویسندگان
چکیده
In the present article we develop some efficient bounds for the distribution function of a two dimensional scan statistic defined on a (double) sequence of iid binary trials. The methodology employed here takes advantage of the connection between the scan statistic problem and a equivalent reliability structure and exploits appropriate techniques of reliability theory to establish tractable bounds for the distribution of the statistic of interest. An asymptotic result is established and a numerical study is carried out to investigate the efficiency of the suggested bounds.
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تاریخ انتشار 2003