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On the Consistency of Nonlinear FIML


  • Phillips, P C B


Examples are given which show that:(i) normality is not Necessary for the consistency of the quasi maximum likelihood estimator in the nonlinear simultaneous equations model (nonlinear FIML) even when there are major departures from linearity; and (ii) the lemma which is used extensively by Amemiya [2] in the theoretical development of the properties of nonlinear FIML under the assumption of normality is, as presently stated, incorrect.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Phillips, P C B, 1982. "On the Consistency of Nonlinear FIML," Econometrica, Econometric Society, vol. 50(5), pages 1307-1324, September.
  • Handle: RePEc:ecm:emetrp:v:50:y:1982:i:5:p:1307-24

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    References listed on IDEAS

    1. Fair, Ray C. & Parke, William R., 1980. "Full-information estimates of a nonlinear macroeconometric model," Journal of Econometrics, Elsevier, vol. 13(3), pages 269-291, August.
    2. Gallant, A. Ronald, 1977. "Three-stage least-squares estimation for a system of simultaneous, nonlinear, implicit equations," Journal of Econometrics, Elsevier, vol. 5(1), pages 71-88, January.
    3. Amemiya, Takeshi, 1974. "The nonlinear two-stage least-squares estimator," Journal of Econometrics, Elsevier, vol. 2(2), pages 105-110, July.
    4. Gallant, A Ronald & Holly, Alberto, 1980. "Statistical Inference in an Implicit, Nonlinear, Simultaneous Equation Model in the Context of Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 48(3), pages 697-720, April.
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    Cited by:

    1. Calzolari, Giorgio, 1992. "Stima delle equazioni simultanee non-lineari: una rassegna
      [Estimation of nonlinear simultaneous equations: a survey]
      ," MPRA Paper 24123, University Library of Munich, Germany, revised 1992.
    2. Calzolari, Giorgio, 2012. "Econometric notes," MPRA Paper 36765, University Library of Munich, Germany.
    3. Agabriel, Jacques & Lherm, Michel & Mosnier, Claire & Reynaud, Arnaud & Thomas, Alban, 2009. "Estimating a Production Function under Production and Output Price Risks: An Application to Beef Cattle in France," TSE Working Papers 09-046, Toulouse School of Economics (TSE).
    4. repec:sbe:breart:v:10:y:1990:i:1:a:3021 is not listed on IDEAS
    5. Ericsson, Neil R. & Campos, Julia & Tran, Hong-Anh, 1990. "Pc-Give and David Hendry'S Econometric Methodology," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 10(1), April.
    6. Hall, Anthony David & Pagan, Adrian Rodney, 1981. "The LIML and Related Estimators of an Equation with Moving Average Disturbances," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 719-730, October.

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