Statistical Papers

, Volume 60, Issue 3, pp 963–981 | Cite as

Nonparametric tests for ordered quantiles

  • Pooja SoniEmail author
  • Isha Dewan
  • Kanchan Jain
Regular Article


In this paper, nonparametric procedures for testing equality of quantiles against an ordered alternative are proposed. These testing procedures are based on two different estimators of the quantile function available in literature. Limiting distributions of the test statistics are derived. Simulations have been carried out to check the performance of the tests.


Quantiles Kernel estimator Empirical estimator Multiple comparison procedure Censored data 

Mathematics Subject Classification




The authors are grateful to the referees for their valuable suggestions which have contributed significantly in improving the manuscript. The third author acknowledges the support provided by Department of Science and Technology, Govt. of India under PURSE Grants.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.University Business SchoolPanjab UniversityChandigarhIndia
  2. 2.Theoretical Statistics and Mathematics UnitIndian Statistical InstituteNew DelhiIndia
  3. 3.Department of StatisticsPanjab UniversityChandigarhIndia

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