Approximation for the Distribution of Three-dimensional Discrete Scan Statistic

Verfasser / Beitragende:
[Alexandru Amărioarei, Cristian Preda]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/3(2015-09-01), 565-578
Format:
Artikel (online)
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024 7 0 |a 10.1007/s11009-013-9382-3  |2 doi 
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245 0 0 |a Approximation for the Distribution of Three-dimensional Discrete Scan Statistic  |h [Elektronische Daten]  |c [Alexandru Amărioarei, Cristian Preda] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2013 
690 7 |a Scan statistics  |2 nationallicence 
690 7 |a 1-dependent stationary sequences  |2 nationallicence 
690 7 |a Importance sampling  |2 nationallicence 
700 1 |a Amărioarei  |D Alexandru  |u Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France  |4 aut 
700 1 |a Preda  |D Cristian  |u Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/3(2015-09-01), 565-578  |x 1387-5841  |q 17:3<565  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-013-9382-3  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Amărioarei  |D Alexandru  |u Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Preda  |D Cristian  |u Laboratoire de Mathémathiques Paul Painlevé, UMR 8524, Université de Sciences et Technologies de Lille 1, Cité Scientifique, 59100, Lille, France  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/3(2015-09-01), 565-578  |x 1387-5841  |q 17:3<565  |1 2015  |2 17  |o 11009