Modified Least Trimmed Quantile Regression to Overcome Effects of Leverage Points
نویسندگان
چکیده
منابع مشابه
The least trimmed quantile regression
The linear quantile regression estimator is very popular and widely used. It is also well known that this estimator can be very sensitive to outliers in the explanatory variables. In order to overcome this disadvantage, the usage of the least trimmed quantile regression estimator is proposed to estimate the unknown parameters in a robust way. As a prominent measure of robustness, the breakdown ...
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We develop an abstract notion of regression which allows for a non-parametric formulation of unbiasedness. We prove then that least quantile regression is unbiased in this sense even in the heteroscedastic case if the error distribution has a continuous, symmetric, and uni-modal density. An example shows that unbiasedness may break down even for smooth and symmetric but not uni-modal error dist...
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ژورنال
عنوان ژورنال: Mathematical Problems in Engineering
سال: 2020
ISSN: 1024-123X,1563-5147
DOI: 10.1155/2020/1243583