Estimation for the Distribution of Two-dimensional Discrete Scan Statistics
Estimation for the Distribution of Two-dimensional Discrete Scan Statistics
复制标题
二维离散扫描统计分布的估计
DOI：
10.1007/s11009-006-9752-1
复制
发表时间：
2006
影响因子：
0.9
通讯作者：
C. Preda
中科院分区：
文献类型：
--
作者：
G. Haiman;C. Preda
本文讨论了（Haiman, Extremes, 3:39 49 - 361, 2000）中介绍的方法在二维离散扫描统计量分布估计中的应用。该方法可以为估计误差建立明确的界限。该方法通过模拟估计大小为2×2, 2×3, 3×3的特定矩形集的扫描统计量分布，其中单位为矩形扫描窗口的（m1×m2）维度，m1, m2∈_1。我们进行了几个数值应用，并将我们的结果与其他作者的结果进行了比较。
This paper concerns the application of the method introduced in (Haiman, Extremes, 3:349–361, 2000) to estimate the distribution of two-dimensional discrete scan statistics. This method makes it possible to establish sharp bounds for the estimation errors. The method involves the estimation by simulation of the distribution of scan statistics for the particular rectangle sets of size 2×2, 2×3, 3×3, where the unit is the (m1×m2) dimension of the rectangular scanning window, m1, m2 ∈ℕ. We perform several numerical applications and compare our results with results obtained by other authors.