The Asymptotic Distribution of the Scan Statistic Under Uniformity
نویسندگان
چکیده
منابع مشابه
On the limiting distribution of the spatial scan statistic
Bootstrap is the standard method in the spatial scan test. However, because the spatial scan statistic lacks theoretical properties, its development and connection to mainstream statistics has been limited. Using the methods of empirical processes with a few weak regularity conditions, the limiting distribution of the spatial scan statistic, which can provide a theoretical basis for the spatial...
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Asymptotic properties of spatial scan statistics under the alternative hypothesis
A common challenge for most spatial cluster detection methods is the lack of asymptotic properties to support their validity. As the spatial scan test is the most often used cluster detection method, we investigate two important properties in the method: the consistency and asymptotic local efficiency. We address the consistency by showing that the detected cluster converges to the true cluster...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1980
ISSN: 0091-1798
DOI: 10.1214/aop/1176994669