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arXiv 1303.3775stat.COmath.PR
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三维离散扫描统计量分布的逼近

Approximation for the Distribution of Three-dimensional Discrete Scan Statistic

Alexandru Amarioarei, Cristian Preda

摘要:

我们考虑离散三维扫描统计。被视为1-依赖稳定r. v.的最大值。的序列,我们提供了近似和误差界的概率分布的三维扫描统计。采用重要性抽样算法得到了仿真误差的精确界。模拟结果和比较与其他近似的二项式和泊松模型。

英文摘要:

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 obtains sharp bounds for the simulation error. Simulation results and comparisons with other approximations are presented for the binomial and Poisson models.

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