Tests of Symmetry Based on the Sample Entropy of Order Statistics and Power Comparison

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• 作者：Hadi Alizadeh Noughabi
• 关键词：Test of symmetry ; Entropy ; Power of test ; Generalized lambda family ; Primary 62G10 ; Secondary 62B10.
• 刊名：Sankhya B
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：77
• 期：2
• 页码：240-255
• 全文大小：704 KB
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• 作者单位：Hadi Alizadeh Noughabi (1)
  
  1. Department of Statistics, University of Birjand, Birjand, Iran
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Statistics
  Statistical Theory and Methods
  Statistics Computing and Software
  
• 出版者：Springer India
• ISSN：0976-8394

文摘

Some nonparametric tests of symmetry based on the sample entropy of order statistics are presented. Our tests have this advantage that we do not need to estimate the center of the symmetry. Monte Carlo studies show that, for a wide variety of alternative asymmetric distributions, the proposed tests are much more powerful than previously proposed tests. A real example is used to illustrate the proposed procedures. Keywords and phrases Test of symmetry Entropy Power of test Generalized lambda family