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Estimation of Dynamic Models with Error Components

T. W. Anderson, Cheng Hsiang Hsiao·1981·Journal of the American Statistical Association

Abstract

Observations on N cross-section units at T time points are used to estimate a simple statistical model involving an autoregressive process with an additive term specific to the unit. Different assumptions about the initial conditions are (a) initial state fixed, (b) initial state random, (c) the unobserved individual effect independent of the unobserved dynamic process with the initial value fixed, and (d) the unobserved individual effect independent of the unobserved dynamic process with initial value random. Asymptotic properties of the maximum likelihood and “covariance” estimators are obtained when T → ∞ and when N → ∞. The relationship between the pseudo and conditional maximum likelihood estimators is clarified. A simple consistent estimator that is independent of the initial conditions and the way in which T or N → ∞ is also suggested.

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Research works printed but not linked: 23

  1. Amemiya T., 1967, “A Note on the Estimation of Balestra-Nerlove Models,”
  2. Anderson T. W., 1971, The Statistical Analysis of Time Series
  3. Anderson T. W., 1978, Journal of the American Statistical Association, 73, 371, 10.1080/01621459.1978.10481585 · DOI
  4. Anderson T. W., 1980, “Estimation of Dynamic Models With Error Components,”
  5. Balestra P., 1966, Econometrica, 34, 585, 10.2307/1909771 · DOI · Paper page
  6. Berzec K., 1979, Journal of Econometrics, 10, 99, 10.1016/0304-4076(79)90067-8 · DOI
  7. Chamberlain G., 1979, “Heterogeneity, Omitted Variable Bias, and Duration Dependence,”
  8. Foutz R. V., 1977, Journal of the American Statistical Association, 71, 147, 10.1080/01621459.1977.10479926 · DOI
  9. Fuller W. A., 1977, Econometrica, 45, 939, 10.2307/1912683 · DOI · Paper page
  10. Lee L. F., 1979, “Efficient Estimation of Dynamic Error Components Models With Panel Data,”
  11. Maddala G. S., 1971, Econometrica, 39, 341, 10.2307/1913349 · DOI · Paper page
  12. Mehta J. S., 1978, Journal of Econometrics, 7, 263, 10.1016/0304-4076(78)90055-6 · DOI
  13. Mehta J. S., 1978, Journal of Econometrics, 7, 1, 10.1016/0304-4076(78)90002-7 · DOI
  14. Miller J. J., 1977, Annals of Statistics, 5, 746, 10.1214/aos/1176343897 · DOI
  15. Mundlak Y., 1978, Econometrica, 36, 69, 10.2307/1913646 · DOI · Paper page
  16. Nerlove M., 1971, Econometrica, 39, 359, 10.2307/1913350 · DOI · Paper page
  17. Swamy P. A. V. B., 1974, Frontiers in Econometrics, 143
  18. Swamy P. A. V. B., 1972, Econometrica, 40, 261, 10.2307/1909405 · DOI · Paper page
  19. Swamy P. A. V. B., 1973, Journal of the American Statistical Association, 68, 648, 10.1080/01621459.1973.10481400 · DOI
  20. Swamy P. A. V. B., 1979, Journal of Econometrics, 10, 1, 10.1016/0304-4076(79)90060-5 · DOI
  21. Swamy P. A. V. B., 1978, Journal of Econometrics, 7, 245, 10.1016/0304-4076(78)90072-6 · DOI
  22. Tiao G. C., 1971, Biometrika, 58, 37, 10.1093/biomet/58.1.37 · DOI
  23. Wallace T. D., 1969, Econometrica, 37, 55, 10.2307/1909205 · DOI · Paper page

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Metadata

Authors
Anderson, T. W., & Hsiao, C. H.
Venue
Journal of the American Statistical Association
Published
1981-09
Volume
76
Issue
375
Pages
598-606
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W3125794091
Cited by
302
References
0
FWCI
3.59
Type
journal article
Language
en
Open access
closed

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Anderson, T. W., & Hsiao, C. H. (1981). Estimation of Dynamic Models with Error Components. Journal of the American Statistical Association. https://doi.org/10.2307/2287517

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