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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).

Suggested Citation

  • Wendelin Schnedler, 2005. "Likelihood Estimation for Censored Random Vectors," Working Papers 0417, University of Heidelberg, Department of Economics, revised Feb 2005.
  • Handle: RePEc:awi:wpaper:0417
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    File URL: http://www.uni-heidelberg.de/md/awi/forschung/dp417.pdf
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119, November.
    2. Gourieroux, Christian & Monfort, Alain & Renault, Eric & Trognon, Alain, 1987. "Generalised residuals," Journal of Econometrics, Elsevier, vol. 34(1-2), pages 5-32.
    3. Nelson, Forrest D., 1977. "Censored regression models with unobserved, stochastic censoring thresholds," Journal of Econometrics, Elsevier, vol. 6(3), pages 309-327, November.
    4. Amemiya, Takeshi, 1973. "Regression Analysis when the Dependent Variable is Truncated Normal," Econometrica, Econometric Society, vol. 41(6), pages 997-1016, November.
    5. Orazio P. Attanasio, 2000. "Consumer Durables and Inertial Behaviour: Estimation and Aggregation of (S, s) Rules for Automobile Purchases," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 667-696.
    6. Christopher Ferrall & Bruce Shearer, 1999. "Incentives and Transactions Costs Within the Firm: Estimating an Agency Model Using Payroll Records," Review of Economic Studies, Oxford University Press, vol. 66(2), pages 309-338.
    7. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation for Research in Economics, Yale University.
    8. Jorge Cornick & Thomas L. Cox & Brian W. Gould, 1994. "Fluid Milk Purchases: A Multivariate Tobit Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(1), pages 74-82.
    9. Donald, S.G. & Paarsch, H.J., 1992. "Maximum Likelihood Estimation in Empirical Models of Auctions," University of Western Ontario, Departmental Research Report Series 9211, University of Western Ontario, Department of Economics.
    10. 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 121-148, February.
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    Cited by:

    1. Wendelin Schnedler & Nina Lucia Stephan, 2020. "Revisiting a Remedy Against Chains of Unkindness," Schmalenbach Business Review, Springer;Schmalenbach-Gesellschaft, vol. 72(3), pages 347-364, July.
    2. Mauricio Villamizar-Villegas, 2016. "Identifying The Effects Of Simultaneous Monetary Policy Shocks," Contemporary Economic Policy, Western Economic Association International, vol. 34(2), pages 268-296, April.
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    4. Suiyao Chen & Nan Kong & Xuxue Sun & Hongdao Meng & Mingyang Li, 2019. "Claims data-driven modeling of hospital time-to-readmission risk with latent heterogeneity," Health Care Management Science, Springer, vol. 22(1), pages 156-179, March.
    5. Antonio F. Galvao & Carlos Lamarche & Luiz Renato Lima, 2013. "Estimation of Censored Quantile Regression for Panel Data With Fixed Effects," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(503), pages 1075-1089, September.
    6. Ramzi Suleiman & Yuval Samid, 2021. "Punishment Strategies across Societies: Conventional Wisdoms Reconsidered," Games, MDPI, vol. 12(3), pages 1-23, August.
    7. Tingting Yu & Lang Wu & Peter Gilbert, 2019. "New approaches for censored longitudinal data in joint modelling of longitudinal and survival data, with application to HIV vaccine studies," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(2), pages 229-258, April.
    8. 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.
    9. Getachew A. Dagne, 2016. "A growth mixture Tobit model: application to AIDS studies," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(7), pages 1174-1185, July.
    10. 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.
    11. 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.
    12. Sabourin, Anne, 2015. "Semi-parametric modeling of excesses above high multivariate thresholds with censored data," Journal of Multivariate Analysis, Elsevier, vol. 136(C), pages 126-146.
    13. Biørn, Erik & Wangen, Knut R., 2012. "New Taxonomies for Limited Dependent Variables Models," MPRA Paper 41461, University Library of Munich, Germany.
    14. 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.

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    More about this item

    Keywords

    Censored variables; Limited dependent variables; Multivariate methods; Random censoring; Likelihood;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models

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