"robust regression analysis; instrumental weighted variables; robustified total least squares"@en . . . . "Robustified total least squares"@en . . . "Robustified total least squares"@en . "978-80-01-04644-9" . . . "RIV/68407700:21340/10:00176584" . "Praha" . "Praha" . . "RIV/68407700:21340/10:00176584!RIV11-MSM-21340___" . . "285585" . "2010-11-19+01:00"^^ . "\u010Cesk\u00E1 technika - nakladatelstv\u00ED \u010CVUT" . "Classical regression estimators, such as the ordinary least squares (LS), are sensitive to occurrence of outliers and are not consistent when the orthogonality condition fails. There have been several robust estimators that can cope with this problem. The development of instrumental weighted variables (IWV), the robust version of instrumental variables methods, is reviewed. The alternative approach in regression methods when orthogonality condition is breaking and both independent and dependent variables are considered to be measured with errors is called total least squares. The existence and uniqueness of the solution is discussed and different approaches of calculation are described. The robustified version of TLS based on the idea of downweighting the influential points is presented and its properties are discussed. Finally the generalization of TLS to mixed LS-TLS and its robustified version is mentioned."@en . . "Robustified total least squares" . . "Classical regression estimators, such as the ordinary least squares (LS), are sensitive to occurrence of outliers and are not consistent when the orthogonality condition fails. There have been several robust estimators that can cope with this problem. The development of instrumental weighted variables (IWV), the robust version of instrumental variables methods, is reviewed. The alternative approach in regression methods when orthogonality condition is breaking and both independent and dependent variables are considered to be measured with errors is called total least squares. The existence and uniqueness of the solution is discussed and different approaches of calculation are described. The robustified version of TLS based on the idea of downweighting the influential points is presented and its properties are discussed. Finally the generalization of TLS to mixed LS-TLS and its robustified version is mentioned." . "Z(MSM6840770039)" . . "21340" . . "[FC057F5238FE]" . . "Doktorandsk\u00E9 dny 2010" . "1"^^ . . "Robustified total least squares" . "1"^^ . . "Franc, Ji\u0159\u00ED" . "11"^^ .