Testing statistical hypotheses based on the density power divergence

By Ayanendranath Basu, Abhijit Mandal, Nirian Martín, Leandro Pardo. Annals of the Institute of Statistical Mathematics, 2012

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Generalized Wald-type tests based on minimum density power divergence estimators (2014, background): “However, the problem of hypothesis testing based on the density power divergence measures has only recently been explored.[2, 3] The results indicate that the test statistics based on the density power divergence measures, when the parameters are estimated by the MDPDEs, have substantially superior ”
A Wald-type test statistic for testing linear hypothesis in logistic regression models based on minimum density power divergence estimator (2016, methodology): “In this paper we shall use the density power divergence measure defined by Basu et al. (1998) because the minimum density power divergence estimators have excellent robustness properties, see for instance Basu et al. (2011; 2013; 2015; 2016), Ghosh et al. (2015; 2016b).”