Abstract: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→∞ and illustrate their accuracy through a simulation study. Our ap… Show more
“…1, the compounding cumulative distribution function G does not admit an explicit closed form, and, therefore, the task of calculating approximations and the asymptotic distribution of W n;k;r is difficult. Boutsikas et al (2017) motivated by this problem provided an approximation to G. To be more specific, let r; k ! 1 so that r=k !…”
Section: Approximations and Asymptotic Resultsmentioning
In this paper, we review a number of bounds and approximations for the distribution of the multiple scan statistic defined on a sequence of binary trials. Using a simulation study, we proceed to the assessment of the accuracy of the approximations.
“…1, the compounding cumulative distribution function G does not admit an explicit closed form, and, therefore, the task of calculating approximations and the asymptotic distribution of W n;k;r is difficult. Boutsikas et al (2017) motivated by this problem provided an approximation to G. To be more specific, let r; k ! 1 so that r=k !…”
Section: Approximations and Asymptotic Resultsmentioning
In this paper, we review a number of bounds and approximations for the distribution of the multiple scan statistic defined on a sequence of binary trials. Using a simulation study, we proceed to the assessment of the accuracy of the approximations.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.