A Note on Error Probabilities of the Likelihood Ratio Test Based on Transport Inequalities

  • Neng-Yi WangEmail author
  • Hui Jiang
Research article


In this paper, by transport inequality theory, we obtain sharp and explicit upper bounds for any finite sample size \(n\ge 1\) on two types of error probabilities of the likelihood ratio tests about two-distribution hypotheses and one-sided parametric hypotheses.


Error probability Likelihood ratio test Finite sample Transport inequality 

Mathematics Subject Classification

60E15 62F03 



The authors thank the referee and National Natural Science Foundation of China (No.11601170).


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Copyright information

© The Indian Society for Probability and Statistics (ISPS) 2019

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsHuazhong University of Science and TechnologyWuhanChina

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