Robust estimation of heteroscedastic regression models: a brief overview and new proposals

التفاصيل البيبلوغرافية
العنوان: Robust estimation of heteroscedastic regression models: a brief overview and new proposals
المؤلفون: Amado, Conceição, Bianco, Ana M., Boente, Graciela, Rodrigues, Isabel M.
سنة النشر: 2023
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Methodology
الوصف: We collect robust proposals given in the field of regression models with heteroscedastic errors. Our motivation stems from the fact that the practitioner frequently faces the confluence of two phenomena in the context of data analysis: non--linearity and heteroscedasticity. The impact of heteroscedasticity on the precision of the estimators is well--known, however the conjunction of these two phenomena makes handling outliers more difficult. An iterative procedure to estimate the parameters of a heteroscedastic non--linear model is considered. The studied estimators combine weighted $MM-$regression estimators, to control the impact of high leverage points, and a robust method to estimate the parameters of the variance function.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.02822
رقم الأكسشن: edsarx.2311.02822
قاعدة البيانات: arXiv