A spatial scan statistic for zero-inflated Poisson process

作者: André L. F. Cançado , Cibele Q. da-Silva , Michel F. da Silva

DOI: 10.1007/S10651-013-0272-1

关键词:

摘要: The scan statistic is widely used in spatial cluster detection applications of inhomogeneous Poisson processes. However, real data may present substantial departure from the underlying process. One possible departures has to do with zero excess. Some studies point out that when applied excess zeros, produce biased inferences. In this work, we develop a closed-form for zero-inflated count data. We apply our methodology simulated and Our simulations revealed Scan-Poisson steadily deteriorates as number zeros increases, producing On other hand, proposed Scan-ZIP Scan-ZIP+EM statistics are, most time, either superior or comparable statistic.

参考文章(12)
Deepak K. Agarwal, Alan E. Gelfand, Steven Citron-Pousty, Zero-inflated models with application to spatial count data Environmental and Ecological Statistics. ,vol. 9, pp. 341- 355 ,(2002) , 10.1023/A:1020910605990
Diane Lambert, Zero-inflacted Poisson regression, with an application to defects in manufacturing Quality Engineering. ,vol. 37, pp. 563- 564 ,(1992)
Virgilio Gómez-Rubio, Antonio López-Quílez, Statistical Methods for the Geographical Analysis of Rare Diseases Advances in Experimental Medicine and Biology. ,vol. 686, pp. 151- 171 ,(2010) , 10.1007/978-90-481-9485-8_10
Martin Kulldorff, A spatial scan statistic Communications in Statistics-theory and Methods. ,vol. 26, pp. 1481- 1496 ,(1997) , 10.1080/03610929708831995
David E. Hapeman, Categorical Data Analysis Technometrics. ,vol. 33, pp. 241- 241 ,(1991) , 10.1080/00401706.1991.10484817
Martin Kulldorff, Toshiro Tango, Peter J Park, Power comparisons for disease clustering tests Computational Statistics & Data Analysis. ,vol. 42, pp. 665- 684 ,(2003) , 10.1016/S0167-9473(02)00160-3
Martin Kulldorff, Lan Huang, Kevin Konty, A Scan Statistic for Continuous Data Based on the Normal Probability Model International Journal of Health Geographics. ,vol. 8, pp. 58- 58 ,(2009) , 10.1186/1476-072X-8-58
D. Böhning, E. Dietz, P. Schlattmann, L. Mendonça, U. Kirchner, The zero‐inflated Poisson model and the decayed, missing and filled teeth index in dental epidemiology Journal of The Royal Statistical Society Series A-statistics in Society. ,vol. 162, pp. 195- 209 ,(1999) , 10.1111/1467-985X.00130
Stephen L. Rathbun, Songlin Fei, A spatial zero-inflated poisson regression model for oak regeneration Environmental and Ecological Statistics. ,vol. 13, pp. 409- 426 ,(2006) , 10.1007/S10651-006-0020-X