رسالة جامعية

Adaptive L1 regularized second-order least squares method for model selection

التفاصيل البيبلوغرافية
العنوان: Adaptive L1 regularized second-order least squares method for model selection
المؤلفون: Xue, Lin
المساهمون: Fu, James (Statistics) Torabi, Mahmoud (Community Health Sciences), Wang, Liqun (Statistics) Jiang, Depeng (Community Health Sciences)
سنة النشر: 2015
المجموعة: MSpace at the University of Manitoba
مصطلحات موضوعية: Adaptive LASSO, Second-order least squares method, Variable selection
الوصف: The second-order least squares (SLS) method in regression model proposed by Wang (2003, 2004) is based on the first two conditional moments of the response variable given the observed predictor variables. Wang and Leblanc (2008) show that the SLS estimator (SLSE) is asymptotically more efficient than the ordinary least squares estimator (OLSE) if the third moment of the random error is nonzero. We apply the SLS method to variable selection problems and propose the adaptively weighted L1 regularized SLSE (L1-SLSE). The L1-SLSE is robust against the shape of error distributions in variable selection problems. Finite sample simulation studies show that the L1-SLSE is more efficient than L1-OLSE in the case of asymmetric error distributions. A real data application with L1-SLSE is presented to demonstrate the usage of this method. ; October 2015
نوع الوثيقة: master thesis
وصف الملف: application/pdf
اللغة: English
العلاقة: http://hdl.handle.net/1993/30757Test
الإتاحة: http://hdl.handle.net/1993/30757Test
حقوق: open access
رقم الانضمام: edsbas.92A75F92
قاعدة البيانات: BASE