RT Journal Article
T1 A Wald-type test statistic for testing linear hypothesis in logistic regression models based on minimum density power divergence estimator
A1 Basu, Ayanendranath
A1 Ghosh, Abhik
A1 Mandal, Abhijit
A1 Martín Apaolaza, Nirian
A1 Pardo Llorente, Leandro
AB In this paper a robust version of the classical Wald test statistics for linear hypothesis in the logistic regression model is introduced and its properties are explored. We study the problem under the assumption of random covariates although some ideas with non random covariates are also considered. A family of robust Wald type tests are considered here, where the minimum density power divergence estimator is used instead of the maximum likelihood estimator. We obtain the asymptotic distribution and also study the robustness properties of these Wald type test statistics. The robustness of the tests is investigated theoretically through the influence function analysis as well as suitable practical examples. It is theoretically established that the level as well as the power of the Wald-type tests are stable against contamination, while the classical Wald type test breaks down in this scenario. Some classical examples are presented which numerically substantiate the theory developed. Finally a simulation study is included to provide further confirmation of the validity of the theoretical results established in the paper.
PB Institute of Mathematical Statistics
SN 1935-7524
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/105569
UL https://hdl.handle.net/20.500.14352/105569
LA eng
NO Ministerio de Economía y Competitividad
DS Docta Complutense
RD 23 abr 2025