Journal of Guangxi Normal University(Natural Science Edition) ›› 2013, Vol. 31 ›› Issue (4): 60-65.

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A Goodness-of-fit Test Based on Empirical Euclidean Likelihood and Vertical Density Representation

ZHANG Xin-cheng1,2, ZHANG Jun-jian1, ZHAN Huan1   

  1. 1.College of Mathematical Sciences,Guangxi Normal University,Guilin Guangxi 541004,China;
    2.College of Information Technology,Kaifeng University,Kaifeng Henan 475004,China
  • Received:2013-10-09 Online:2013-12-20 Published:2018-11-26

Abstract: A goodness of fit test was constructed by means of empirical Euclidean likelihood and vertical density representation (VDR),and the limit null distribution of the test statistics was derived.Then,the parameters were estimated by maximum likelihood estimate (MLE) under the composite null hypothesis.Subsequently,the corresponding test statistics was constructed and its limit null distribution was given.Finally,the new tests were compared with the traditional chi-square test by simulations.Simulation results show that the new tests are more powerful and have favorable application and potential prospect.

Key words: goodness-of-fit, empirical Euclidean likelihood, vertical density representation

CLC Number: 

  • O212.1
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