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January, 1973 A Statistical Theory of Calibration
Henry Scheffe
Ann. Statist. 1(1): 1-37 (January, 1973). DOI: 10.1214/aos/1193342379


The kind of calibration problem considered may be roughly described as follows: There are two related quantities $\mathscr{U}$ and $\mathscr{V}$ such that $\mathscr{U}$ is relatively easy to measure and $\mathscr{V}$ relatively difficult, requiring more effort or expense; furthermore the error in a measurement of $\mathscr{V}$ is negligible compared with that for $\mathscr{U}$. A distinguishing feature of the problem is, that from a single calibration experiment, where measurements are made on a number of pairs $(\mathscr{U}, \mathscr{V})$, we wish subsequently to estimate the unknown values of $\mathscr{V}$ corresponding to a very large number of measurements of $\mathscr{U}$. The problem is solved by a procedure of interval estimation, whose operating characteristic is expressed in terms of a reformulation of the law of large numbers. Some idea of the contents of the article may be obtained from the table of contents.


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Henry Scheffe. "A Statistical Theory of Calibration." Ann. Statist. 1 (1) 1 - 37, January, 1973.


Published: January, 1973
First available in Project Euclid: 25 October 2007

zbMATH: 0253.62023
MathSciNet: MR336920
Digital Object Identifier: 10.1214/aos/1193342379

Rights: Copyright © 1973 Institute of Mathematical Statistics


Vol.1 • No. 1 • January, 1973
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