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JSRI 2006, 2(2): 141-158 Back to browse issues page
A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Outliers in a Normal Sample
Rahim Mahmoudvand1, Hossein Hassani
1- , r _ mahmodvand@yahoo.com
Abstract:   (3252 Views)

Usually when performing a statistical test or estimation procedure, we assume the data are all observations of i.i.d. random variables, often from a normal distribution. Sometimes, however, we notice in a sample one or more observations that stand out from the crowd. These observation(s) are commonly called outlier(s). Outlier tests are more formal procedures which have been developed for detecting outliers when a sample comes from a normal distribution (Thode, 2002). A lot of work has been done for testing outliers in a univariate sample, most of which corresponds to the normal and exponential distribution. Barnett and Lewis (1994) have presented a summary of tests for outliers and their critical values, many of which are specific to the detection of outliers in normal samples. The theoretical solution for the exact null distribution of the likelihood ratio...   [To continue please click here

Keywords: Outlier, normal sample, likelihood ratio test, approximation.
Full-Text [PDF 467 kb]   (649 Downloads)    
Type of Study: Research | Subject: General
Received: 2016/02/13 | Accepted: 2016/02/13 | Published: 2016/02/13
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Mahmoudvand R, Hassani H. A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Outliers in a Normal Sample. JSRI 2006; 2 (2) :141-158
URL: http://jsri.srtc.ac.ir/article-1-156-en.html


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Volume 2, Issue 2 (3-2006) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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