<section name="raw">
    <SEQUENTIAL>
      <record key="001" att1="001" value="182192" att2="182192">001   182192</record>
      <field key="037" subkey="x">englisch</field>
      <field key="050" subkey="x">Forschungsbericht</field>
      <field key="076" subkey="">Ökonomie</field>
      <field key="079" subkey="y">http://www.ihs.ac.at/publications/eco/es-262.pdf</field>
      <field key="079" subkey="z">Liu, Shuangzhe - et al., Sensitivity Analysis of SAR Estimators (pdf)</field>
      <field key="079" subkey="y">http://ideas.repec.org/p/ihs/ihsesp/262.html</field>
      <field key="079" subkey="z">Institute for Advanced Studies. Economics Series; 262 (RePEc)</field>
      <field key="100" subkey="">Liu, Shuangzhe</field>
      <field key="103" subkey="">University of Canberra, Canberra, Australia</field>
      <field key="104" subkey="a">Polasek, Wolfgang</field>
      <field key="107" subkey="">Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria</field>
      <field key="108" subkey="a">Sellner, Richard</field>
      <field key="111" subkey="">Department of Economics and Finance, Institute for Advanced Studies, Vienna, Austria</field>
      <field key="331" subkey="">Sensitivity Analysis of SAR Estimators</field>
      <field key="335" subkey="">A numerical approximation</field>
      <field key="403" subkey="">1. Ed.</field>
      <field key="410" subkey="">Wien</field>
      <field key="412" subkey="">Institut für Höhere Studien</field>
      <field key="425" subkey="">2011, January</field>
      <field key="433" subkey="">19 pp.</field>
      <field key="451" subkey="">Institut für Höhere Studien; Reihe Ökonomie; 262</field>
      <field key="451" subkey="h">Kunst, Robert M. (Ed.) ; Fisher, Walter (Assoc. Ed.) ; Ritzberger, Klaus (Assoc. Ed.)</field>
      <field key="461" subkey="">Economics Series</field>
      <field key="517" subkey="c">from the Table of Contents: Introduction; LS estimators in the SAR model; Local SAR sensitivity analysis; Taylor approximation</field>
      <field key="for" subkey="">the SAR estimator; Example: European NUTS2 regional data; Conclusions; References;</field>
      <field key="542" subkey="">1605-7996</field>
      <field key="544" subkey="">IHSES 262</field>
      <field key="700" subkey="">C11</field>
      <field key="700" subkey="">C15</field>
      <field key="700" subkey="">C52</field>
      <field key="700" subkey="">E17</field>
      <field key="700" subkey="">R12</field>
      <field key="720" subkey="">Spatial autoregressive models</field>
      <field key="720" subkey="">Least squares estimators</field>
      <field key="720" subkey="">Sensitivity analysis</field>
      <field key="720" subkey="">Taylor Approximations</field>
      <field key="720" subkey="">Kantorovich inequality</field>
      <field key="753" subkey="">Abstract: Estimators of spatial autoregressive (SAR) models depend in a highly non-linear way on the spatial correlation</field>
      <field key="par" subkey="a">meter and least squares (LS) estimators cannot be computed in closed form. We first compare two simple LS estimators by</field>
      <field key="dis" subkey="t">ance and covariance properties and then we study the local sensitivity behavior of these estimators using matrix derivatives.</field>
      <field key="The" subkey="s">e results allow us to calculate the Taylor approximation of the least squares estimator in the spatial autoregression (SAR)</field>
      <field key="mod" subkey="e">l up to the second order. Using Kantorovich inequalities, we compare the covariance structure of the two estimators and we</field>
      <field key="der" subkey="i">ve efficiency comparisons by upper bounds. Finally, we demonstrate our approach by an example for GDP and employment in 239</field>
      <field key="Eur" subkey="o">pean NUTS2 regions. We find a good approximation behavior of the SAR estimator, evaluated around the non-spatial LS</field>
      <field key="est" subkey="i">mators. These results can be used as a basis for diagnostic tools to explore the sensitivity of spatial estimators.;</field>
    </SEQUENTIAL>
  </section>