Simultaneous Equations: Two-Stage Least Squares

2013 ◽  
pp. 351-370
1996 ◽  
Vol 12 (2) ◽  
pp. 305-330 ◽  
Author(s):  
Myoung-Jae Lee

Estimation of simultaneous equations with limited (or transformed) endogenous regressors has been difficult in the parametric literature for various reasons. In this paper, we propose a nonparametric two-stage method that is analogous to two-stage least-squares estimation. A simultaneous censored model is used to illustrate our approach, and then its generalization to other cases is developed. The technical highlight is in handling a nondifferentiable second-stage minimand with an infinite-dimensional first-stage nuisance parameter when the first-stage error is not orthogonal to the second.


Author(s):  
Rokhana Dwi Bekti ◽  
David David ◽  
Gita N ◽  
Priscillia Priscillia ◽  
Serlyana Serlyana

Simultaneous model is a model for some equation which have simultaneous relationships. It was often found in econometrics, such as the relationship between Gross Domestic Regional Product (GDRP) and poverty. GDP is a common indicator that can be used to determine the economic growth occurred in region. Meanwhile, poverty is one of the indicators to measure the society welfare. Information about these relathionships were important to perform the relathionsips between GDP and poverty. So this research conducted an analysis to obtain simultaneous models between GDRP and poverty. Estimation of the parameters used is Two-Stage Least Squares Estimation (2SLS). The data used are 33 provinces in Indonesia at 2010. By α = 5%, it was conclude that variable which significant effect on GDRP is poverty, export, and import. Meanwhile, the variables that significantly affect poverty are population. The simultaneous model (α = 5%) also conclude that there is no simultaneous relationship between GDRP and poverty. However, with α = 25%, there is a simultaneous relationship between GDRP and poverty.


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