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Estimation of Parameters in Multiple Regression with Missing Covariates Using a Modified First Order Regression Procedure

Author

Listed:
  • H. Toutenburg

    (Institute of Statistics University of Munich)

  • V.K. Srivastava

    (Department of Statistics, Lucknow University)

  • Shalabh

    (Department of Mathematics and Statistics, Indian Institute of Technology)

  • C. Heumann

    (Institute of Statistics, University of Munich)

Abstract

This paper considers the estimation of coefficients in a linear regression model with missing observations in the independent variables and introduces a modification of the standard first order regression method for imputation of missing values. The modification provides stochastic values for imputation. Asymptotic properties of the estimators for the regression coefficients arising from the proposed modification are derived when either both the number of complete observations and the number of missing values grow large or only the number of complete observations grows large and the number of missing observations stays fixed. Using these results, the proposed procedure is compared with two popular procedures¡ªone which utilizes only the complete observations and the other which employs the standard first order regression imputation method for missing values. It is suggested that an elaborate simulation experiment will be helpful to evaluate the gain in efficiency especially in case of discrete regressor variables and to examine some other interesting issues like the impact of varying degree of multicollinearity in explanatory variables. Applications to some concrete data sets may also shed some light on these aspects. Some work on these lines is in progress and will be reported in a future article to follow.

Suggested Citation

  • H. Toutenburg & V.K. Srivastava & Shalabh & C. Heumann, 2005. "Estimation of Parameters in Multiple Regression with Missing Covariates Using a Modified First Order Regression Procedure," Annals of Economics and Finance, Society for AEF, vol. 6(2), pages 289-301, November.
    • Handle: RePEc:cuf:journl:y:2005:v:6:i:2:p:289-301
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    References listed on IDEAS

    as
    1. Dagenais, Marcel G., 1973. "The use of incomplete observations in multiple regression analysis : A generalized least squares approach," Journal of Econometrics, Elsevier, vol. 1(4), pages 317-328, December.
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    More about this item

    Keywords

    Missing data; Regression model; Least squares estimator;
    All these keywords.

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General

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