Abstract
THE problem considered by Wayman1 is one example of a wide class of problems which have given rise to a large body of literature in recent years. Lindley2 has reviewed the field, and thirty subsequent papers are listed by Barton and David3. Of particular importance is the estimation of non-linear structural relationships. Several methods for estimating the unknown parameters are available; we outline below a method which will often give estimates of nearly optimal accuracy.
Similar content being viewed by others
Article PDF
References
Wayman, P. A., Nature, 184, 77 (1959).
Lindley, D. V., J.R. Statist. Soc., B, 9, 218 (1947).
Barton, D. E., and David, F. N., Bull. 31st Session I.S.I. (1958) (in the press).
Reiersøl, O., Econometrica, 18, 375 (1950).
Neyman, J., and Scott, E. L., Ann. Math. Statist., 22, 352 (1951).
Jeffreys, H., ‘Theory of Probability’, 2nd Edition (Cambridge Univ. Press, 1948).
Kiefer, J., and Wolfowitz, J., Ann. Math. Statist., 27, 887 (1956).
Geary, R. C., J. Amer. Stat. Assoc., 48, 94 (1953).
Bose, S. S., Sankhya, 3, 339 (1938).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
BARTON, D., MALLOWS, C. Estimation of Linear and Non-linear Structural Relations. Nature 184, 1086 (1959). https://doi.org/10.1038/1841086a0
Issue Date:
DOI: https://doi.org/10.1038/1841086a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.