On Estimation of Bi‑liner Regression Parameters

Grzegorz Antoni Sitek, Janusz Leszek Wywiał
2017 Acta Universitatis Lodziensis. Folia Oeconomica  
Two non-parallel lines will be named as bi-lines. The relationship between the definition of the bi-lines function and linear regression functions of the distribution mixture is considered. The bi-lines function parameters are estimated using the least squares method for an implicit interdependence. In general, values of parameter estimators are evaluated by means of an approximation numerical method. In a particular case, the exact expressions for the parameter estimators were derived. In this
more » ... re derived. In this particular case, the properties of the estimators are examined in details. The bi-lines are also used to estimate the regression functions of the distribution mixture. The accuracy of the parameter estimation is analyzed.
doi:10.18778/0208-6018.332.06 fatcat:l5sbtttdinh67df2ua5vpmgmzi