내포오차성분을 가정한 패널회귀모형에서 추정량의 효율에 관한 비교

A Comparison of Estimation Procedures in a Nested Error Components Regression Model

  • 발행 : 2000.03.01

초록

본 논문에서는 내포오차성분을 가지는 패널회귀모형에서 회귀계수에 대하여 다양한 추정량들을 유도하고, 추정량들의 효율성을 모의실험을 통하여 평균제곱오차의 기준에서 비교하였다. 모의실험 결과, 제안된 FGLS 추정량들은 GLS추정량과 효율성에서 서로 큰 차이를 보이지 않았으며, 계산상 더욱 복잡한 ML, REML 추정량 및 MIVQUE와 거의 비슷한 효율성을 보여주었다.

키워드

참고문헌

  1. International Economic Review v.12 The estimation of variances in a variance components model Amemiya, T.
  2. Journal of Econometrics v.2 Best quadratic unviased estimators of the variance-covariance matrix in normal regression Balestra, P.
  3. Econometric Analysis of Panel Data Baltagi, B. H.
  4. Communications in Statistics-Theory and Methods v.14 Confidence intervals on the total variance in an unbalanced two-fold nested classification with equal subsampling Burdick, R. K.;Graybill, F. A.
  5. Journal of the Ammerican Statistical Association v.68 The transformations for estimation of linear models with nested error structure Fuller, W. A.;Battese, G. E.
  6. Journal of the American Statistical Association v.75 Confidence intervals for proportions of variability in two-factor nested variance component models Graybill, F. A.;Wang, C. M.
  7. Econometric Analysis Greene, W. H.
  8. Journal of the American Statistical Association v.72 Maximum likelihood approaches to variance component estimation and to related problems Harville, D. A.
  9. Brooks/Cole Company The Analysis of Linear Model Hocking, R. R.
  10. Analysis of Panel Data Hsiao, C.
  11. Journal of Econometrics v.32 Random group effects and the precision of regression estimates Moulton, B. R.
  12. Econometrica v.39 Further evidence on the estimation of dynamic economic relations from a time-series of cross-sections Nerlove, M.
  13. Biometrcs v.41 Nested analysis of variance with autocorrelated error Pantula, S. G.;Pollock, K. H.
  14. Biometrika v.58 Recovery of inter-block information when block sizes air unequal Patterson, H. D.;Thompson, R.
  15. Journal of Multivariate Analysis v.1 Estimation of variance and covariance components - MINQUE theory Rao, C. R.
  16. Journal of Multivariate Analysis v.1 Minimum variance quadratic unbiased estimation of variance components Rao, C. R.
  17. Journal of the American Statistical Association v.71 A comparison of estimators of variance components in the balanced three-stage nested random effects model using mean squared error criterion Sahai, H.
  18. Technometrics v.26 Monte Carlo comparison of ANOVA, MIVQUE, REML, and ML estimators of variance components Swallow, W. H.;Monahan, J. F.
  19. Technometrics v.20 Minimum variance quadratic unviased estimation(MIVQUE)of variance components Swallow, W. H.;Searle, S. R.
  20. Econometrica v.40 The exact finite sample properties of the estimators of coefficients in the error components regression models Swamy, P. A. V. B.;Arora, A. A.
  21. Econometrica v.37 The use of error components models in combining cross-section and time-series data Wallace, T. D.;Hussain, A.
  22. Communications in Statistics - Theory and Methods v.10 Confidence intervals on a ratio of variances in the two-factor nested components of variance model Wang, C. M.;Graybill, F. A.
  23. Communications in Statistics-Theory and Methods v.11 A simple way to obtain the spectral decomposition of variance components models for balanced data Wansbeek, T.J.;Kapteyn, A.
  24. Statistics and Probability Letters v.1 A note on spectral decomposition and maximum likelihood estimation in ANOVA models with balanced data Wansbeek, T.J.;Kapteyn, A.