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On the Consistency of Nonlinear FIML

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  • Phillips, P C B

Abstract

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.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 50 (1982)
Issue (Month): 5 (September)
Pages: 1307-24

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Handle: RePEc:ecm:emetrp:v:50:y:1982:i:5:p:1307-24

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  1. Ray C. Fair & William R. Parke, 1979. "Full Information Estimates of a Nonlinear Macroeconometric Model," Cowles Foundation Discussion Papers 519, Cowles Foundation for Research in Economics, Yale University.
  2. Amemiya, Takeshi, 1974. "The nonlinear two-stage least-squares estimator," Journal of Econometrics, Elsevier, vol. 2(2), pages 105-110, July.
  3. 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.
  4. 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.
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Cited by:
  1. Claire Mosnier & Arnaud Reynaud & Alban Thomas & Michel Lherm & Jacques Agabriel, 2009. "Estimating a production function under production and output price risks: An application to beef cattle in France," LERNA Working Papers 09.10.286, LERNA, University of Toulouse.
  2. 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.

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