Abstract
Consider the simple errors-in-the-variables model
where (x t , y t ), t = 1,2,..., are the only observable variables, for which a sample t = 1,..., T is given. (v t , w t ) are idd random variables distributed independently of (ξ1, ξ2,...) with expectation zero and with variances σ 2υ and σ 2ω .
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References
Dolby, G.R.: The ultrastructural relation: A synthesis of the functional and structural relations. Biometrika 63, 1976, 39–50.
Friedman, M.: A Theory of the Consumption Function. Princeton 1957.
Fuller, W.A.: Some properties of a modification of the limited information estimator. Econometrica 45, 1977, 939–954.
Goldberger, A.S.: Maximum-Likelihood estimation of regressions containing unobservable independent variables. Int. Ec. Rev. 13, 1972.
Johnston, J.: Econometric Methods. 1-st ed., New York-San Francisco-Toronto-London 1963.
Kendall, M.G., and A. Stuart: The Advanced Theory of Statistics. Vol. 2, 4th ed. London 1979.
Learner, E.E.: Least-squares versus instrumental variables estimation in a simple errors in variables model. Econometrica 46, 1978, 961–968.
Madansky, A.: The fitting of straight lines when both variables are subject to error. Journ. Am. Stat. Ass. 54, 1959, 173–205.
Malinvaud, E.: Statistical Methods of Econometrics. 3rd ed. Amsterdam 1979.
Moran, P.A.P.: Estimating structural and functional relationships. Journ. Multivariate Analysis 1, 1971, 232–255.
Richardson, D.H., and De-min, Wu: Least squares and grouping method estimators in the errors in variables model. Journ. Am. Stat. Ass. 65, 1970, 724–748.
Robertson, C.A.: Large-sample theory for the linear structural relation. Biometrika 61, 1974, 353–359.
Rothenberg, T.J.: The asymptotic distribution of the least squares estimator in the error in variables model, mimeo, 1972.
Sargan, J.D.: The estimation of economic relationships using instrumental variables. Econometrica 26, 1958, 393–415.
Schneeweiß, H.: Consistent estimation of regression with errors in the variables. Metrika 23, 1976, 101–115.
—: Different asymptotic variances for the same estimator in a regression with errors in the variables. Methods of Operations Research 36, 1980a, 249–269.
—: Modelle mit Fehlern in den Variablen. Methods of Operations Research 37, 1980b, 41–77.
Schlönfeld, P.: Methoden der Ökonometrie. Vol. 1: Lineare Regressionsmodelle. Berlin-Frankfurt 1969.
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© 1982 Springer-Verlag Berlin Heidelberg
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Schneeweiß, H. (1982). A Simple Regression Model with Trend and Error in the Exogenous Variable. In: Deistler, M., Fürst, E., Schwödiauer, G. (eds) Games, Economic Dynamics, and Time Series Analysis. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-41533-7_21
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DOI: https://doi.org/10.1007/978-3-662-41533-7_21
Publisher Name: Physica, Heidelberg
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