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Original Articles

Testing upper and lower outlier paris in gamma samples

Pages 1055-1072 | Received 01 Jun 1987, Published online: 13 Feb 2011
 

Abstract

The problem of discordancy testing for an upper and lower outlier pair in a sample from a gamma distribution with known shape is considered. Three statistics are investigated: the well-known extremal quotient and two likelihood-based procedures. Approximations t o the null distributions of the statistics are obtained where appropriate. The non-null properties are investigated by sensitivity contours and simulation.

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