A Wald-type test statistic based on robust modified median estimator in logistic regression models. Issue 12 (13th August 2017)

• Record Type: Journal Article
• Authors: Hobza, Tomáš; Martín, Nirian; Pardo, Leandro
• Is Part Of: Journal of statistical computation and simulation. Volume 87:Issue 12(2017)
• Page Start: 2309
• Page End: 2333
• Publication Date: 2017-08-13
• Subjects: Logistic regression -- modified median estimator -- random regressors -- Wald-type test statistic; 62F35 -- 62F05; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2017.1330414
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: In this paper a new robust estimator, modified median estimator, is introduced and studied for the logistic regression model. This estimator is based on the median estimator considered in Hobza et al. [Robust median estimator in logistic regression. J Stat Plan Inference. 2008;138:3822–3840]. Its asymptotic distribution is obtained. Using the modified median estimator, we also consider a Wald-type test statistic for testing linear hypotheses in the logistic regression model and we obtain its asymptotic distribution under the assumption of random regressors. An extensive simulation study is presented in order to analyse the efficiency as well as the robustness of the modified median estimator and Wald-type test based on it.