Testing for Upper Outliers in Gamma Sample

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Abstract
The problem of multiple upper outlier detection in gamma sample is considered. Balasooriya and Gadag ( 1994 Balasooriya , U. , Gadag , V. ( 1994 ). Tests for upper outliers in the two-parameter exponential distribution . J. Statist. Computat. Simul. 50 : 249 – 259 . [Taylor & Francis Online], [Web of Science ®] [Google Scholar] ) proposed a location and scale invariant test based on the test statistic Z k for testing the k upper outliers in two-parameter exponential sample. In this article, the test statistic is extended for gamma sample and the null distribution of the statistic is obtained. A simulation study is carried out to compare the performance of the tests and is found that the test based on Z k is more powerful than the test based on the test statistic proposed by Jabbari Nooghabi et al. ( 2010 Jabbari Nooghabi , M. , Jabbari Nooghabi , H. , Nasiri , P. ( 2010 ). Detecting outliers in gamma distribution . Commun. Statist. Theor. Meth. 39 : 698 – 706 . [Taylor & Francis Online], [Web of Science ®] [Google Scholar] ).

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