BEGINNING "METHODS OF COMPUTING OPTIMUM REGRESSION DESIGN"

ELFVING, GUSTAV.

Optimum allocation in linear regression theory.

U.S.A., The Annals of Mathematical Statistics, 1952. 8vo. No wrappers (as issued). Offprint from "The Annals of Mathematical Statistics", Vol. 23, No. 2, June 1952. Light miscolouring to extremities, otherwise a fine and clean copy. Pp. 255-262.

Scarce offprint of Elfving's seminal paper which marks the beginning of optimality theory of regression theory. The paper also introduced concepts from convex geometry, including "Elfving sets.
"Pioneering work was done by Elfving in several papers on the methods of computing optimum regression design. The "Optimum allocation in linear regression theory" is without doubt Elfving's single most influential paper, inaugurating that line of research." (Johnson, Leading Personalities in Statistical Sciences: From the Seventeenth Century)

While accompanying a surveying expedition to western Greenland, extended and intense rains left Elving with three days in his tent, during which time he consider the best locations of observations to estimate parameters on linear models. Elfving's ideas appeared in his paper on the optimal design of experiments for estimating linear models. This paper also introduced concepts from convex geometry, including "Elfving sets" and Elfving's theorem

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