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Approximations for two-dimensional discrete scan statistics in some block-factor type dependent models

Alexandru Amarioarei 1, 2 Cristian Preda 1, 2
2 MODAL - MOdel for Data Analysis and Learning
Inria Lille - Nord Europe, LPP - Laboratoire Paul Painlevé - UMR 8524, METRICS - Evaluation des technologies de santé et des pratiques médicales - ULR 2694, Polytech Lille - École polytechnique universitaire de Lille, Université de Lille, Sciences et Technologies
Abstract : We consider the two-dimensional discrete scan statistic generated by a block-factor type model. Under the null hypothesis, in which the block-factor model is obtained from an i.i.d. sequence of random variables, we present an approximation for the distribution of the scan statistics and the corresponding error bounds. Numerical results are presented to evaluate the accuracy of the approximation discussed in this paper.
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Submitted on : Tuesday, December 9, 2014 - 9:38:15 PM
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Alexandru Amarioarei, Cristian Preda. Approximations for two-dimensional discrete scan statistics in some block-factor type dependent models. Journal of Statistical Planning and Inference, Elsevier, 2014, 151-152, pp.14. ⟨10.1016/j.jspi.2014.05.002⟩. ⟨hal-01092993⟩

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