On the distribution of a test statistic for outlier identication in exponential samples
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Date
2000
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Universitätsbibliothek Dortmund
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Abstract
In this paper we discuss the distribution of the ratio of the maximum and the appropriately standardized median of a (sub-) sample consisting of the m smallest observations in a sample of size N coming from a one-parameter exponential distribution. A statistics of this kind is useful when testing for the presence of outliers, especially when implemented within an inward or outward testing procedure. Besides giving a tractable expression for the survival function of this statistic we tabulate the critical values needed for corresponding outlier identification rules for samples of size up to N = 50.