caa a22 4500 605519757 CHVBK 20210128100732.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s11009-013-9382-3 doi (NATIONALLICENCE)springer-10.1007/s11009-013-9382-3 Approximation for the Distribution of Three-dimensional Discrete Scan Statistic [Elektronische Daten] [Alexandru Amărioarei, Cristian Preda] We consider the discrete three dimensional scan statistics. Viewed as the maximum of an 1-dependent stationary r.v.'s sequence, we provide approximations and error bounds for the probability distribution of the three dimensional scan statistics. Importance sampling algorithm is used to obtain sharp bounds for the simulation error. Simulation results and comparisons with other approximations are presented for the binomial and Poisson models. Springer Science+Business Media New York, 2013 Scan statistics nationallicence 1-dependent stationary sequences nationallicence Importance sampling nationallicence Amărioarei Alexandru Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France aut Preda Cristian Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France aut Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 565-578 1387-5841 17:3<565 2015 17 11009 https://doi.org/10.1007/s11009-013-9382-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11009-013-9382-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Amărioarei Alexandru Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France aut NATIONALLICENCE 700 1- Preda Cristian Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France aut NATIONALLICENCE 773 0- Methodology and Computing in Applied Probability Springer US; http://www.springer-ny.com 17/3(2015-09-01), 565-578 1387-5841 17:3<565 2015 17 11009