Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 18, 1986 - Issue 3
8
Views
14
CrossRef citations to date
0
Altmetric
Articles

Stochastic Regression with Errors in Both Variables

, &
Pages 162-169 | Published online: 21 Feb 2018

References

  • Amemiya, Y. and Fuller, W. A. (1984). “Estimation for the Multivariate Errors-in-Variables Model with Estimated Covariance Matrix.” The Annals of Statistics 12, pp. 497–509.
  • Anderson, T. W. (1976). “Estimation of Linear Functional Relationships: Approximate Distributions and Connections with Simultaneous Equations in Econometrics.” Journal of the Royal Statistical Society, Series B 38, pp. 1–36.
  • Anderson, T. W. (1984). “Estimating Linear Statistical Relationships.” The Annals of Statistics 12, pp. 1–45.
  • Anderson, T. W. and Sawa, T. (1982). “Exact and Approximate Distributions of the Maximum Likelihood Estimator of a Slope Coefficient.” Journal of the Royal Statistical Society, Series B 44, pp. 52–62.
  • Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press, Princeton, NJ.
  • Draper, N. R. and Smith, H. (1981). Applied Regression Analysis, 2nd ed. John Wiley and Sons, New York, NY.
  • Gleser, L. J. (1981). “Estimation in a Multivariate ‘Errors in Variables’ Regression Model: Large Sample Results.” The Annals of Statistics 9, pp. 24–44.
  • Gunst, R. F. and Mason, R. L. (1980). Regression Analysis and Its Application: A Data-Oriented Approach. Marcel Dekker, New York, NY.
  • Halperin, M. and Gurian, J. (1971). “A Note on Estimation in Straight Line Regression When Both Variables Are Subject to Error.” Journal of the American Statistical Association 66, pp. 587–589.
  • Hawkins, D. M. (1973). “On the Investigation of Alternative Regressions by Principal Component Analysis.” Applied Statistics 22, pp. 275–286.
  • Kendall, M. G. and Stuart, A. (1977). The Advanced Theory of Statistics, Volume 2, 4th ed. Griffin, London.
  • Lakshminarayanan, M. Y. and Gunst, R. F. (1984). “Estimation of Parameters in Linear Structural Relationships: Sensitivity to the Choice of the Ratio of Error Variances.” Biometrika 71, pp. 569–573.
  • Madansky, A. (1959). “The Fitting of Straight Lines When Both Variables Are Subject to Error.” Journal of the American Statistical Association 54, pp. 173–205.
  • Malinvaud, E. (1970). Statistical Methods of Econometrics. North-Holland Publishing Co., Amsterdam, Netherlands.
  • Mandel, J. (1984). “Fitting Straight Lines When Both Variables are Subject to Error.” Journal of Quality Technology 16, pp. 1–14.
  • Mandel, J. and Stiehler, R. D. (1954). “Sensitivity—A Criterion for the Comparison of Methods of Test.” Journal of Research of the National Bureau of Standards 53, pp. 155–159.
  • Moran, P. A. P. (1971). “Estimating Structural and Functional Relationships.” Journal of Multivariate Analysis 1, pp. 232–255.
  • Patefield, W. M. (1977). “On the Information Matrix in the Linear Functional Relationship Problem.” Applied Statistics 26, pp. 69–70.
  • Patefield, W. M. (1978). “The Unreplicated Ultrastructural Relation: Large Sample Properties.” Biometrika 65, pp. 535–540.
  • Reiersol, O. (1950). “Identifiability of a Linear Relation Between Variables Which are Subject to Error.” Econometrica 18, pp. 375–389.
  • Reilman, M. A.; Gunst, R. F.; and Lakshminarayanan, M. Y. (1985). “Structural Model Estimation With Correlated Measurement Errors.” Biometrika 72, pp. 669–672.
  • Richardson, D. H. (1968). “The Exact Distribution of a Structural Coefficient Estimator.” Journal of the American Statistical Association 63, pp. 1214–1226.
  • Richardson, D. H. and Wu, D. M. (1970). “Least Squares and Grouping Method Estimators in the Errors in Variables Model.” Journal of the American Statistical Association 65, pp. 724–748.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.