Keywords and phrases: maximum likelihood, TLRL estimator, BY estimator, outliers.
Received: April 12, 2022; Accepted: May 30, 2022; Published: June 15, 2022
How to cite this article: Hong Li, Robust binary logistic regression methods, Advances and Applications in Statistics 77 (2022), 93-108. http://dx.doi.org/10.17654/0972361722045
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. Agresti, An Introduction to Categorical Data Analysis, Wiley, New York, 2007. [2] O. G. Alema, Comparison of robust regression methods in linear regression, Int. J. Contemp. Math. Sci. 6(9) (2011), 409-421. [3] T. Bednarski, A note on robust estimation in logistic regression model, Discuss. Math. Probab. Stat. 36 (2016), 43-51. [4] A. Bergesio and V. J. Yohai, Projection estimators for generalized linear models, J. Amer. Statist. Assoc. 106 (2011), 661-671. [5] A. M. Bianco and V. J. Yohai, Robust estimation in the logistic regression model in robust statistics, Data Analysis, and Computer Intensive Methods, H. Rieder, ed., Lecture Notes in Statistics, 109, Springer-Verlag, New York, 1996, pp. 17-34. [6] A. M. Bianco and E. Martinez, Robust testing in the logistic regression model, Comput. Statist. Data Anal. 53 (2009), 4095-4105. [7] E. Cantoni and E. Ronchetti, Robust inference for generalized linear models, J. Amer. Statist. Assoc. 96 (2001), 1022-1030. [8] T. Hobza and P. L. Vajda, Robust median estimator in logistic regression, J. Statist. Plann. Inference 138 (2008), 3822-3840. [9] D. W. Hosmer and S. Lemeshow, Applied Logistic Regression, Wiley, New York, 2000. [10] N. Kordzakhia, G. D. Mishra and L. Reiersolmoen, Robust estimation in the logistic regression model, J. Statist. Plann. Inference 98 (2001), 211-223. [11] R. A. Maronna, R. D. Martin and V. J. Yohai, Robust Statistics: Theory and Methods, Wiley, New York, 2006. [12] E. Marubini and A. Orenti, Pinpointing outliers and influential cases in regression analysis: a robust method at work, Bioinformatics 4(2) (2010), 95-105. [13] M. A. Merritt et al., Dairy foods and nutrients in relation to risk of ovarian cancer and major histological subtypes, Int. J. Cancer 132(5) (2012), 1114-1124. [14] C. Mircean et al., Robust estimation of protein expression ratios with lysate microarray technology, Bioinformatics 21(9) (2005), 1935-1942. [15] J. A. Nelder and R. W. M. Wedderburn, Generalized linear models, J. R. Statist. Soc. A 135 (1972), 370-384. [16] P. J. Rousseeuw and A. M. Leroy, Robust Regression and Outlier Detection, Wiley, New York, 1987. [17] M. Tabatabai et al., TELBS robust linear regression method, Open Access Medical Statistics 2 (2012), 65-84. [18] M. Tabatabai et al., Robust logistic and probit methods for binary and multinomial regression, J. Biomet. Biostat. 5(4) (2014), 202. [19] D. Timmerman et al., Logistic regression model to distinguish between the benign and malignant adnexal mass before surgery: a multicenter study by the international ovarian tumor analysis group, J. Clinical Oncology 23 (2005), 8794-8801. [20] V. J. Yohai, High breakdown-point and high efficiency robust estimates for regression, Ann. Statist. 15 (1987), 642-656.
|