Statistical Science

Gustav Elfving's impact on experimental design

Herman Chernoff
Source: Statist. Sci. Volume 14, Number 2 (1999), 201-205.
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Permanent link to this document: http://projecteuclid.org/euclid.ss/1009212246
Mathematical Reviews number (MathSciNet): MR1722069
Digital Object Identifier: doi:10.1214/ss/1009212246
Zentralblatt MATH identifier: 02068902

References

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Mathematical Reviews (MathSciNet): MR57518
Zentralblatt MATH: 0048.11804
Digital Object Identifier: doi:10.1214/aoms/1177729330
Project Euclid: euclid.aoms/1177729330
[2] Chernoff, H. (1953). Locally optimal designs for estimating parameters. Ann. Math. Statist. 24 586-602.
Mathematical Reviews (MathSciNet): MR15,452j
Zentralblatt MATH: 0053.10504
Digital Object Identifier: doi:10.1214/aoms/1177728915
Project Euclid: euclid.aoms/1177728915
[3] Elfving, G. (1952). Optimum allocation in linear regression theory. Ann. Math. Statist. 23 255-262.
Mathematical Reviews (MathSciNet): MR13,963h
Zentralblatt MATH: 0047.13403
Digital Object Identifier: doi:10.1214/aoms/1177729442
Project Euclid: euclid.aoms/1177729442
[4] Elfving, G. (1959). Design of linear experiments. In Probability and Statistics: The Harald Cram´er Volume (U. Grenander, ed.) 58-74. Wiley, New York.
Mathematical Reviews (MathSciNet): MR22:1970
Zentralblatt MATH: 0119.35202
[5] Hotelling, H. (1944). Some improvements in weighing and other experimental techniques. Ann. Math. Statist. 15 297-306.
Mathematical Reviews (MathSciNet): MR6,93c
Zentralblatt MATH: 0063.02076
Digital Object Identifier: doi:10.1214/aoms/1177731236
Project Euclid: euclid.aoms/1177731236
[6] Karlin, S. and Studden, W. J. (1966). Optimal experimental designs. Ann. Math. Statist. 37 783-815.
Mathematical Reviews (MathSciNet): MR33:5055
Zentralblatt MATH: 0151.23904
Digital Object Identifier: doi:10.1214/aoms/1177699361
Project Euclid: euclid.aoms/1177699361
[7] Kiefer, J. and Wolfowitz, J. (1960). Optimum designs in regression problems. Ann. Math. Statist. 30 271-294.
Mathematical Reviews (MathSciNet): MR104324
Digital Object Identifier: doi:10.1214/aoms/1177706252
Project Euclid: euclid.aoms/1177706252
[8] Kiefer, J. and Wolfowitz, J. (1960). The equivalence of two extremum problems. Canad. J. Math. 12 363-366.
Mathematical Reviews (MathSciNet): MR22:8616
[9] Studden, W. J. (1971). Elfving's theorem and designs for quadratic loss. Ann. Math. Statist. 42 1613-1621.
Mathematical Reviews (MathSciNet): MR49:6517
Zentralblatt MATH: 0274.62051
Digital Object Identifier: doi:10.1214/aoms/1177693160
Project Euclid: euclid.aoms/1177693160
[10] Yates, F. (1935). Complex experiments. J. Roy. Statist. Soc. 2 181-247.

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