Author:
Boutsikas Michael V.,Koutras Markos V.
Abstract
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 independent and identically
distributed (i.i.d.) binary trials. The methodology employed
here takes advantage of the connection between the scan statistic
problem and an 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.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
21 articles.
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