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Statistical Papers

, Volume 60, Issue 6, pp 1921–1937 | Cite as

A test for detecting Laplace order dominance and related Bahadur efficiency issues

  • Priyanka MajumderEmail author
  • Murari Mitra
Regular Article

Abstract

A test procedure based on a weighted integral approach is developed to detect Laplace order dominance. The asymptotic distributions of our scale-invariant test statistics are derived and consistency of the test established. General expressions of local approximate Bahadur efficiencies for the test statistics are obtained and evaluated for typical alternatives. The performance of the test is assessed by means of a simulation study and through application to some real life data sets.

Keywords

Life distribution \(\mathcal {L}\)-class Asymptotic normality Consistency Bahadur efficiency 

Notes

Acknowledgements

The authors are grateful to two anonymous reviewers for their insightful comments which have substantially improved the presentation of the paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Engineering Science and Technology, ShibpurWest BengalIndia

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