Let Xi,j,1[less-than-or-equals, slant]i[less-than-or-equals, slant]n1,1[less-than-or-equals, slant]j[less-than-or-equals, slant]n2, be a sequence of independent and identically distributed nonnegative integer valued random variables. The observation Xi,j denotes the number of events that have...

Scan statistics have been extensively used in many areas of science to analyze the occurrence of observed clusters of events in time or space. Since the scan statistics are based on the highly dependent consecutive subsequences of observed data, accurate probability inequalities for their...

Discrete scan statistics are used for testing the null hypothesis that the observations are identically distributed against a clustering alternative that specifies an increased incidence of observations in a connected subregion of the circle. To implement the testing procedures based on the scan...

Supersaturated design (SSD) has received much interest because of its potential in factor screening experiments. Most studies focused mainly on balanced designs. This paper considers SSDs with general run sizes. The lower bounds of the [chi]2 proposed by [Yamada, S., Lin, D.K.J., 1999....

This article investigates the accuracy of approximations for distributions of two-dimensional discrete scan statistics. A product-type approximation, a Bonferroni-type inequality, two Poisson approximations and a compound Poisson approximation are studied. A simulation study is presented to...