Permanents, Order Statistics, Outliers, and Robustness
Permanents, Order Statistics, Outliers, and Robustness
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DOI：
10.5209/rev_rema.2007.v20.n1.16528
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发表时间：
2007-03
影响因子：
0.8
通讯作者：
N. Balakrishnan
中科院分区：
文献类型：
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作者：
N. Balakrishnan
在本文中，我们考虑顺序统计量和离群模型，并主要集中在多离群模型和相关的鲁棒性问题。我们首先综合最近的发展顺序统计量所产生的独立和非同分布的随机变量的基础上，主要是永久的理论。然后，我们强调这些结果在评估几个线性估计的鲁棒性时，多个离群值可能存在于样本中的各种应用。
In this paper, we consider order statistics and outlier models, and focus primarily on multiple-outlier models and associated robustness issues. We first synthesise recent developments on order statistics arising from independent and non-identically distributed random variables based primarily on the theory of permanents. We then highlight various applications of these results in evaluating the robustness properties of several linear estimators when multiple outliers are possibly present in the sample.