淡江大學機構典藏:Item 987654321/20709
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    Title: On determining the number of upper or lower outliers in normal sample by least squares procedure
    Authors: 吳忠武;Wu, Jong-wuu
    Contributors: 淡江大學統計學系
    Keywords: Least squares procedure;outlier;normal distribution;mean squares error;order statistic
    Date: 2003-01-01
    Issue Date: 2009-11-30 12:57:19 (UTC+8)
    Publisher: Analytic Publishing Co
    Abstract: In this paper, we suggest a least square procedure for the determination of the number of upper or lower outliers in normal sample by minimizing sample mean squares error. Moreover, the method free from the effects of masking and swamping, when testing upper or lower outliers in normal samples. In addition, we have also found that the least squares procedure is easy and simple to compute than test procedure Tk suggested by Zhang and Wang [5] for determining the number of upper or lower outliers, since they need to use the complicated null distribution of Tk . Furthermore, we also correct of the upper bound of the significance probability of Tk suggested by them. Finally, we give two example to study the practical performance of the procedures.
    Relation: Journal of information & optimization sciences 24(1), pp.61-71
    DOI: 10.1080/02522667.2003.10699555
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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