 The Robustness of the Higher-Order 2SLS and General k-Class Bias Approximations to Non-Normal DisturbancesGarry Phillips and Gareth Liu-Evans () No E2011/20, Cardiff Economics Working Papers from Cardiff University, Cardiff Business School, Economics Section Abstract: In a seminal paper Nagar (1959) obtained first and second moment approximations for the k-class of estimators in a general static simultaneous equation model under the assumption that the structural disturbances were i.i.d and normally distributed. Later Mikhail (1972) obtained a higher-order bias approximation for 2SLS under the same assumptions as Nagar while Iglesias and Phillips (2010) obtained the higher order approximation for the general k-class of estimators. These approximations show that the higher order biases can be important especially in highly overidentified cases. In this paper we show that Mikhail.s higher order bias approximation for 2SLS continues to be valid under symmetric, but not necessarily normal, disturbances with an arbitrary degree of kurtosis but not when the disturbances are asymmetric. A modified approximation for the 2SLS bias is then obtained which includes the case of asymmetric disturbances. The results are then extended to the general k-class of estimators. Pages: 28 pages Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:cdf:wpaper:2011/20 Access Statistics for this paper More papers in Cardiff Economics Working Papers from Cardiff University, Cardiff Business School, Economics Section Contact information at EDIRC. |
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