Abstract
This paper is concerned with one of the enduringly central problems of statistics and, via applications, also of econometrics, biometrics, psychometrics, and indeed of any field of research concerned with identification from noisy data.
Le mélange du vrai et du faux est plus faux que le faux.
Paul Valéry
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References
Anderson, T.W. and Rubin, H. (1956), “Statistical inference in factor analysis”, Proceedings of the 3rd Berkeley Symposium on Mathematical Statistics and Probability, 5, pp. 111–150.
Box, J.F. (1978), “R.A. Fisher: The Life of a Scientist”, Wiley, 512 pages.
Cheney, E.W. (1963), “Introduction to Approximation Theory”, McGraw-Hill, 259 pages.
Davis, P.J. (1963), “Interpolation and Approximation”, Blaisdell, 393 pages.
Fisher, R.A. (1918), “On the correlation between relatives on the assumption of a Mendelian inheritance”, Transactions of the Royal Society of Edinburgh, 52, pp. 399–433.
Freedman, D., Pisani, R. and Purves, R. (1978), “Statistics”, Norton, 589 pages.
Frisch, R. (1934), “Statistical confluence analysis by means of complete regression systems”, Publication no. 5, University of Oslo Economic Institute, 192 pages.
Galton, F. (1886), “Family likeness in stature”, Proceedings of the Royal Society of London, 40, pp. 42–63.
Gini, C. (1921), “Sull’interpolazione de una retta quando i valori delia variabile indipendente sono affetti da errori accidentali”, Metron, 1, pp. 63–82.
Gould, S.J. (1981), “The Mismeasure of Man”, Norton, 352 pages.
Haavelmo, T. (1943), “The statistical implications of a system of simultaneous equations”, Econometrica, 11, pp. 1–12.
Harter, H.L. (1974–1976), “The method of least squares and some alternatives. Parts I-VI”, International Statistical Review, volumes 42–44.
Hotelling, H. (1933), “Analysis of complex statistical variables into principal components”, J. of Educational Psychology, 24, pp. 417–441, 498–520.
Kaiman, R.E. (1980), “Identiflability and problems of model selection in econometrics”, vol. 2 of Proceedings of the 4th World Congress of the Econometric Society, (August-September 1980, Aix-en-Provence), Cambridge University Press.
Kaiman, R.E. (1981), “System-theoretic critique of dynamic economic models”, International J. of Policy Analysis and Information Systems, 4, pp. 3–22.
Kaiman, R.E. (1982a), “System identification from noisy data”, Proc. International Symposium on Dynamical Systems (Gainesville, FL February 1981), edited by A. Bednarek, Academic Press.
Kaiman, R.E. (1982b), “Identifiability and modeling in econometrics”, Developments in Statistics, edited by P.R. Krishanaiah, Academic Press, vol. 4.
Kaiman, R.E. (1983), “Identification of linear relations from noisy data”, to appear.
Kaiman, R.E., Falb, P.L. and Arbib, M.A. (1969), “Topics in Mathematical System Theory”, McGraw Hill, 358 pages.
Kendall, M.G. and Stewart, A. (1970), “The Advanced Theory of Statistics”, vol. 2, Griffin, 521 pages.
Koopmans, T.C. (1937), “Linear Regression Analysis of Economic Time Series”, Netherlands Economic Institute, 150 pages.
Koten, J. (1981), “They say no two economists ever agree, so Chrysler tries averaging their opinions”, The Wall Street Journal, November 3, 1981, p. 37.
Lawley, D.N. and Maxwell, A.E. (1971), “Factor Analysis as a Statistical Method”, second edition, Butterworths, 153 pages.
Learner, E.E. (1978), “Specification Searches”, Wiley, 370 pages.
Learner, E.E. (1981), “Sets of maximum likelihood estimates for regressions with errors in all the variables”, Department of Economics, Unviersity of California at Los Angeles. (Manuscript, August 1981.)
Pearson, K. (1901), “On lines and planes of closest fit to systems of points in space”, Philosophical Magazine, VI, 2, pp. 559–572.
Pearson, K. and Lee, A. (1903), “On the laws of inheritance in man. I. Inheritance of physical characters”, Biometrika, 2, pp. 357–462.
Reiersøl, O. (1941), “Confluence analysis by means of lag moments and other methods of confluence analysis”, Econometrica, 9, pp. 1–24.
Schur, M. (1977), “Sigmund Freud: Leben und Sterben”, German translation of “Freud: Living and Dying”), Suhrkamp, 696 pages
Sontag, E.D. and Rouchaleau, Y. (1976), “On discrete-time polynomial systems”, J. Nonlinear Analysis, 1, pp. 55–64..
Spearman, C. (1904), “General intelligence objectively determined and measured”, American J. of Psychology, 15, pp. 201–293.
Steiger, J.H. (1979), “Factor indeterminacy in the 1930’s and the 1970’s: some interesting parallels”, Psychometrika, 44, pp. 157–167.
Theil, H. (1971), “Principles of Econometrics”, Wiley.
Willems, J.C. (1979), “System-theoretic models of physical systems”, Richerche di Automatica, 10, pp. 71–106.
Wold, H.O. (1969), “Mergers of economics and philosophy of science”, Synthèse, 20, pp. 427–482; see also “A key problem in the evolution of econometrics” in Economic Models, Estimation, and Risk Programming, Springer Lecture Notes in Operations Research and Mathematical Economics, no. 15, pp. 325–341.
Yamamoto, Y. (1981), “Realization theory of infinite-dimensional linear systems”. Mathematical System Theory, 15, pp. 55–77 and 169–190.
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Kalman, R.E. (1982). Identification from Real Data. In: Hazewinkel, M., Kan, A.H.G.R. (eds) Current Developments in the Interface: Economics, Econometrics, Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7933-8_16
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DOI: https://doi.org/10.1007/978-94-009-7933-8_16
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