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Likelihood Estimation for Censored Random Vectors

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  • Wendelin Schnedler

    ()
    (University of Heidelberg, Department of Economics)

Abstract

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 maximiser is consistent and the respective root-n estimator is asymptotically efficient and normally distributed under regularity conditions. The method generalises 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.uni-heidelberg.de/md/awi/forschung/dp417.pdf
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Bibliographic Info

Paper provided by University of Heidelberg, Department of Economics in its series Working Papers with number 0417.

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Length: 25 pages
Date of creation: Feb 2005
Date of revision: Feb 2005
Handle: RePEc:awi:wpaper:0417

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Keywords: Censored variables; Limited dependent variables; Multivariate methods; Random censoring; Likelihood;

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References

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  1. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation for Research in Economics, Yale University.
  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. Nelson, Forrest D., 1977. "Censored regression models with unobserved, stochastic censoring thresholds," Journal of Econometrics, Elsevier, vol. 6(3), pages 309-327, November.
  5. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
  6. 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.
  7. 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.
  8. 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.
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Cited by:
  1. Qian, Hang, 2009. "Estimating SUR Tobit Model while errors are gaussian scale mixtures: with an application to high frequency financial data," MPRA Paper 31509, University Library of Munich, Germany.
  2. Servtka, Maros, 2009. "Separating reputation, social influence, and identification effects in a dictator game," European Economic Review, Elsevier, vol. 53(2), pages 197-209, February.
  3. Biørn, Erik & Wangen, Knut R., 2012. "New Taxonomies for Limited Dependent Variables Models," MPRA Paper 41461, University Library of Munich, Germany.
  4. Mònica González & Germà Coenders & Marc Saez & Ferran Casas, 2010. "Non-linearity, Complexity and Limited Measurement in the Relationship Between Satisfaction with Specific Life Domains and Satisfaction with Life as a Whole," Journal of Happiness Studies, Springer, vol. 11(3), pages 335-352, June.
  5. Xue, Hong & Mainville, Denise Y. & You, Wen & Nayga, Rodolfo M., Jr., 2009. "Nutrition Knowledge, Sensory Characteristics and Consumers’ Willingness to Pay for Pasture-Fed Beef," 2009 Annual Meeting, July 26-28, 2009, Milwaukee, Wisconsin 49277, Agricultural and Applied Economics Association.

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