Testing for Upper Outliers in Gamma Sample |
| |
Authors: | Nirpeksh Kumar S. Lalitha |
| |
Affiliation: | 1. Department of Statistics , M. G. Kashi Vidyapith , Varanasi , India nirpeksh@gmail.com;3. Department of Statistics , Allahabad University , Allahabad , India |
| |
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]). |
| |
Keywords: | Gamma sample Outlier Performance Swamping effect |
|
|