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XXXVIII.—On the Estimation of Many Statistical Parameters

Published online by Cambridge University Press:  14 February 2012

A. C. Aitken
Affiliation:
Mathematical Institute, University of Edinburgh

Extract

In an earlier paper (Aitken and Silverstone, 1941) the problem of estimating from sample a parameter θ of unknown value was treated by adopting two postulates for the estimating function: (i) that it should be unbiased in the linear sense; (ii) that its sampling variance should be minimal.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1946

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References

REFERENCES TO LITERATURE

Aitken, A. C, 1934. “On least squares and linear combination of observations”, Proc. Roy. Soc. Edin., A, LV, 4247.Google Scholar
Aitken, A. C., and Silverstone, H., 1941. “On the estimation of statistical parameters”, Proc. Roy. Soc. Edin., A, LXI, 186194.Google Scholar
Fisher, R. A., 1921. “On the mathematical foundations of theoretical statistics”, Phil. Trans., A, CCXXII, 309368.Google Scholar
Fisher, R. A., 1934. “Two new properties of mathematical likelihood”, Proc. Roy. Soc., A, CXLIV, 285307.Google Scholar
Geary, R. C, 1942. “The estimation of many parameters”, Journ. Roy. Statist. Soc., LV, 213217.CrossRefGoogle Scholar
Koopman, B. O., 1936. “On distributions admitting a sufficient statistic”, Trans. Amer. Math. Soc., XXXIX, 399409.CrossRefGoogle Scholar
Rao, C. R., 1945. “Information and the accuracy attainable in the estimation of statistical parameters”, Bull. Calcutta Math. Soc., XXXVII, 8191.Google Scholar
Solomon, L., 1944. “The estimation of statistical coefficients from sample”, Thesis submitted for Ph.D., University of Edinburgh.Google Scholar
Turnbull, H. W., 1927. “On differentiating a matrix”, Proc. Edin. Math. Soc., ser, 2, 1, 111128.Google Scholar
Wilks, S. S., 1932. “Certain generalizations in the analysis of variance”, Biometrika, XXIV, 471494.CrossRefGoogle Scholar