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Robust Wald-type tests for non-homogeneous observations based on the minimum density power divergence estimator

  • Ayanendranath Basu
  • Abhik Ghosh
  • Nirian Martin
  • Leandro Pardo
Article
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Abstract

This paper considers the problem of robust hypothesis testing under non-identically distributed data. We propose Wald-type tests for both simple and composite hypothesis for independent but non-homogeneous observations based on the robust minimum density power divergence estimator of the common underlying parameter. Asymptotic and theoretical robustness properties of the proposed tests are discussed. Application to the problem of testing for the general linear hypothesis in a generalized linear model with a fixed-design has been considered in detail with specific illustrations for its special cases under the normal and Poisson distributions.

Keywords

Non-homogeneous data Robust hypothesis testing Wald-type test Minimum density power divergence estimator Power influence function Linear regression Poisson regression 

Notes

Acknowledgements

The authors wish to thank two anonymous referees for several constructive suggestions which have significantly improved the paper. This research has been partially supported by Grant MTM2015-67057-P from Ministerio de Economia y Competitividad, Spain.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Indian Statistical InstituteKolkataIndia
  2. 2.Complutense UniversityMadridSpain

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