Mahmoudvand, Rahim and Hassani, Hossein (2005): A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Upper Outliers in a Normal Sample. Published in: Journal of Statistical Research of Iran No. 2 (1. September 2006): pp. 155161.

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Abstract
In this paper, we introduce a new approximation for the null distribution of the likelihood ratio test for the general case. We compare the the critical values obtained by the new approximation to the values which are obtained by the exact distribution for the cases k=1, 2 to test the accuracy of the new approximation. Also, we compare the results to another approximation method (which is known by Barnett and Lewis (1994)) for the cases k=3,4.
Item Type:  MPRA Paper 

Original Title:  A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Upper Outliers in a Normal Sample 
Language:  English 
Keywords:  Likelihood Ratio Test, Outlier, Approximation, Normal Sample 
Subjects:  C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods Z  Other Special Topics > Z0  General > Z00  General 
Item ID:  5778 
Depositing User:  Hossein Hassani 
Date Deposited:  25. Jan 2008 19:32 
Last Modified:  12. Feb 2013 13:31 
References:  Barnett, V.; Lewis, T. (1994). Outliers in Statistical Data. 3rd ed. John Wiley & Sons, Chichester. Thode, Jr.(2002). Testing for Normality. Marcel Dakker Inc. New Yourk. Zhang, J.; Yu, K. (2006). The Null Distribution of the LikelihoodRatio Test for One or Two Outliers in a Normal Sample. Test,Vol. 15. No 1. pp. 141150. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/5778 