Approximations and Bounds for the Distribution of the Scan Statistic

Joseph Glaz

Type: Article

Publication Date: 1989-06-01

Citations: 68

DOI: https://doi.org/10.1080/01621459.1989.10478804

View Publication

Locations

Journal of the American Statistical Association - View

Similar Works

Action	Title	Year	Authors
+	Approximations and Bounds for the Distribution of the Scan Statistic	1989	Joseph Glaz
+ PDF Chat	Approximation for the Distribution of Three-dimensional Discrete Scan Statistic	2013	Alexandru Amărioarei Cristian Preda
+	Approximations for tail probabilities and moments of the scan statistic	1992	Joseph Glaz
+	Scan Statistic and Multiple Scan Statistic	1999	Chien‐Tai Lin
+ PDF Chat	On the asymptotic distribution of the scan statistic for empirical distributions	2022	Andrew Ying Wen‐Xin Zhou
+	Approximations for Two-Dimensional Variable Window Scan Statistics	2009	Jie Chen Joseph Glaz
+	New approximations for the distribution of the r-scan statistic	2000	Xiaoping Su Sylvan Wallenstein
+	On the Distributions of Scan Statistics	1984	D. J. Gates Mark Westcott
+	Handbook of Scan Statistics	2017	Joseph Glaz Markos V. Koutras
+	Accurate and asymptotic results for distributions of scan statistics	1985	D. J. Gates Mark Westcott
+	Accurate and asymptotic results for distributions of scan statistics	1985	D. J. Gates Mark Westcott
+	Approximations and inequalities for discrete scan statistics	1998	Jie Chen
+ PDF Chat	Scan statistics : theory and application to epidemiology	2013	Mickaël Genin
+	Approximating the Distribution of the Multiple Scan Statistic	2024	Markos V. Koutras Fotios S. Milienos
+	Approximating the Distribution of the Multiple Scan Statistic	2020	Markos V. Koutras Fotios S. Milienos
+	Approximations of distributions of scan statistics of inhomogeneous Poisson processes	2017	Tung-Lung Wu
+ PDF Chat	Scan Statistics and Applications	2014	Joseph Glaz Joseph Naus
+	Extensions of the Scan Statistic for the Detection and Inference of SpatialClusters	2009	Luiz H. Duczmal Anderson Ribeiro Duarte Ricardo Tavares
+	Approximations for a Three Dimensional Scan Statistic	2009	Joseph Glaz Marco Guerriero Rohini Sen
+	The Kernel Spatial Scan Statistic	2019	Mingxuan Han Michael E. Matheny Jeff M. Phillips

Works That Cite This (40)

Action	Title	Year	Authors
+	Bonferroni-type inequalities for conditional scan statistics	2001	Jie Chen Joseph Glaz Joseph Naus Sylvan Wallenstein
+	Computing the exact distribution of the extremes of sums of consecutive spacings	1997	Fred W. Huffer Chien‐Tai Lin
+	A COMPARISON OF BONFERRONI-TYPE AND PRODUCT-TYPE INEQUALITIES IN PRESENCE OF	2016	Joseph Glaz
+	Poisson approximations for the distribution and moments of ordered <i>m</i>-spacings	1994	Joseph Glaz Joseph Naus Małgorzata Roos Sylvan Wallenstein
+	On a waiting time distribution in a sequence of Bernoulli trials	1996	Markos V. Koutras
+ PDF Chat	Extreme order statistics for a sequence of dependent random variables	1992	Joseph Glaz
+	The Maximum Vertex Degree of a Graph on Uniform Points in [0, 1]<sup><i>d</i></sup>	1997	Martin J. B. Appel Ralph P. Russo
+	The Maximum Vertex Degree of a Graph on Uniform Points in [0, 1]d	1997	Martin J. B. Appel Ralph P. Russo
+	The Minimum Vertex Degree of a Graph on Uniform Points in [0, 1]<sup><i>d</i></sup>	1997	Martin J. B. Appel Ralph P. Russo
+	Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables	1997	Markos V. Koutras

Works Cited by This (24)

Action	Title	Year	Authors
+	Some Probabilities, Expectations and Variances for the Size of Largest Clusters and Smallest Intervals	1966	Joseph Naus
+	On some properties of the scan statistic on the circle and the line	1977	Noel Cressie
+ PDF Chat	Probability Theory: Independence, Interchangeability, Martingales	1998	Robert Lund Y. S. Chow Henry Teicher
+	An upper bound for the probability of a union	1976	D. B. Hunter
+	An improved Bonferroni inequality and applications	1982	Keith J. Worsley
+	Multiple clusters on the line	1983	Joseph Glaz Joseph Naus
+	Probability Inequalities for Multivariate Distributions with Dependence Structures	1984	Joseph Glaz Bruce McK. Johnson
+	A Useful Upper Bound for the Tail Probabilities of the Scan Statistic When the Sample Size is Large	1985	Mark Berman G. K. Eagleson
+	THE MINIMUM OF HIGHER ORDER GAPS	1977	Noel Cressie
+	Most Stringent Bounds on Aggregated Probabilities of Partially Specified Dependent Probability Systems	1975	Seymour M. Kwerel