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Likelihood Estimation for Censored Random Vectors

  • Wendelin Schnedler

This article shows how to construct a likelihood for a general class of censoring problems. This likelihood is proven to be valid, i.e. its maximizer is consistent and the respective root-n estimator is asymptotically efficient and normally distributed under regularity conditions. The method generalizes ordinary maximum likelihood estimation as well as several standard estimators for censoring problems (e.g. tobit type I-tobit type V).

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File URL: http://www.tandfonline.com/doi/abs/10.1081/ETC-200067925
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Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 24 (2005)
Issue (Month): 2 ()
Pages: 195-217

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Handle: RePEc:taf:emetrv:v:24:y:2005:i:2:p:195-217
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  1. Donald, Stephen G & Paarsch, Harry J, 1993. "Piecewise Pseudo-maximum Likelihood Estimation in Empirical Models of Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 121-48, February.
  2. Gourieroux, Christian & Monfort, Alain & Renault, Eric & Trognon, Alain, 1987. "Generalised residuals," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 5-32.
  3. Ferrall, Christopher & Shearer, Bruce, 1999. "Incentives and Transactions Costs within the Firm: Estimating an Agency Model Using Payroll Records," Review of Economic Studies, Wiley Blackwell, vol. 66(2), pages 309-38, April.
  4. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation for Research in Economics, Yale University.
  5. Attanasio, Orazio P, 2000. "Consumer Durables and Inertial Behaviour: Estimation and Aggregation of (S, s) Rules for Automobile Purchases," Review of Economic Studies, Wiley Blackwell, vol. 67(4), pages 667-96, October.
  6. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
  7. Nelson, Forrest D., 1977. "Censored regression models with unobserved, stochastic censoring thresholds," Journal of Econometrics, Elsevier, vol. 6(3), pages 309-327, November.
  8. Donald, S.G. & Paarsch, H.J., 1992. "Maximum Likelihood Estimation in Empirical Models of Auctions," UWO Department of Economics Working Papers 9211, University of Western Ontario, Department of Economics.
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