دورية أكاديمية

Two-step variable selection in quantile regression models

التفاصيل البيبلوغرافية
العنوان: Two-step variable selection in quantile regression models
المؤلفون: FAN Yali
المصدر: Journal of Shanghai Normal University (Natural Sciences), Vol 44, Iss 3, Pp 270-283 (2015)
بيانات النشر: Academic Journals Center of Shanghai Normal University
سنة النشر: 2015
المجموعة: Directory of Open Access Journals: DOAJ Articles
مصطلحات موضوعية: LASSO, adaptive LASSO, quantile regression, high dimensional, Science (General), Q1-390
الوصف: We propose a two-step variable selection procedure for high dimensional quantile regressions, in which the dimension of the covariates, p n is much larger than the sample size n . In the first step, we perform ℓ 1 penalty, and we demonstrate that the first step penalized estimator with the LASSO penalty can reduce the model from an ultra-high dimensional to a model whose size has the same order as that of the true model, and the selected model can cover the true model. The second step excludes the remained irrelevant covariates by applying the adaptive LASSO penalty to the reduced model obtained from the first step. Under some regularity conditions, we show that our procedure enjoys the model selection consistency. We conduct a simulation study and a real data analysis to evaluate the finite sample performance of the proposed approach.
نوع الوثيقة: article in journal/newspaper
اللغة: English
Chinese
تدمد: 1000-5137
العلاقة: http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201503005&flag=1&year_id=2015&quarter_id=3Test; https://doaj.org/toc/1000-5137Test; https://doaj.org/article/0b3a9265da564afa92cf841a56e3726fTest
DOI: 10.3969/J.ISSN.100-5137.2015.03.005
الإتاحة: https://doi.org/10.3969/J.ISSN.100-5137.2015.03.005Test
https://doaj.org/article/0b3a9265da564afa92cf841a56e3726fTest
رقم الانضمام: edsbas.FED1DF36
قاعدة البيانات: BASE
الوصف
تدمد:10005137
DOI:10.3969/J.ISSN.100-5137.2015.03.005