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Some aspects of the sequential design of experiments
Author:
Herbert Robbins
Journal:
Bull. Amer. Math. Soc. 58 (1952), 527-535
MathSciNet review:
0050246
Full-text PDF
References |
Additional Information
- 1.
H. F. Dodge and H. G. Romig, A method of sampling inspection, Bell System Technical Journal vol. 8 (1929) pp. 613-631, and Single sampling and double sampling inspection tables, ibid. vol. 20 (1941) pp. 1-61.
- 2.
Abraham
Wald, Sequential Analysis, John Wiley & Sons, Inc., New
York; Chapman & Hall, Ltd., London, 1947. MR 0020764
(8,593h)
- 3.
P. C. Mahalanobis, A sample survey of the acreage under jute in Bengal with discussion of planning of experiments, Snakhyā vol. 4 (1940) pp. 511-531.
- 4.
P. C. Mahalanobis, On large-scale sample surveys, Philos. Trans. Roy. Soc. London, Ser. B vol. 231 (1944) pp. 329-451.
- 5.
Abraham
Wald, Statistical Decision Functions, John Wiley & Sons,
Inc., New York, N. Y.; Chapman & Hall, Ltd., London, 1950. MR 0036976
(12,193f)
- 6.
J.
Neyman, First Course in Probability and Statistics, Henry Holt
and Co., New York, N. Y., 1950. MR 0037492
(12,270e)
- 7.
Harold
Hotelling, Experimental determination of the maximum of a
function, Ann. Math. Statistics 12 (1941),
20–45. MR
0003521 (2,232a)
- 8.
M. Friedman and L. J. Savage, Planning experiments seeking maxima, Chap. 3 of Selected techniques of statistical analysis, New York, McGraw-Hill, 1947.
- 9.
Herbert
Robbins and Sutton
Monro, A stochastic approximation method, Ann. Math.
Statistics 22 (1951), 400–407. MR 0042668
(13,144j)
- 10.
D. Teichroew, unpublished.
- 11.
Willy
K. Feller, Statistical aspects of ESP, J. Parapsychology
4 (1940), 271–298. MR 0004461
(3,11a)
- 1.
- H. F. Dodge and H. G. Romig, A method of sampling inspection, Bell System Technical Journal vol. 8 (1929) pp. 613-631, and Single sampling and double sampling inspection tables, ibid. vol. 20 (1941) pp. 1-61.
- 2.
- A. Wald, Sequential analysis, New York, Wiley, 1947. MR 20764
- 3.
- P. C. Mahalanobis, A sample survey of the acreage under jute in Bengal with discussion of planning of experiments, Snakhyā vol. 4 (1940) pp. 511-531.
- 4.
- P. C. Mahalanobis, On large-scale sample surveys, Philos. Trans. Roy. Soc. London, Ser. B vol. 231 (1944) pp. 329-451.
- 5.
- A. Wald, Statistical decision functions, New York, Wiley, 1950. MR 36976
- 6.
- J. Neyman, First course in probability and statistics, New York, Holt, 1950. MR 37492
- 7.
- H. Hotelling, Experimental determination of the maximum of a function, Ann. of Math. Statist, vol. 12 (1941) pp. 20-45. MR 3521
- 8.
- M. Friedman and L. J. Savage, Planning experiments seeking maxima, Chap. 3 of Selected techniques of statistical analysis, New York, McGraw-Hill, 1947.
- 9.
- H. Robbins and S. Monro, A stochastic approximation method, Ann. of Math. Statist, vol. 22 (1951) pp. 400-407. MR 42668
- 10.
- D. Teichroew, unpublished.
- 11.
- W. Feller, Statistical aspects of ESP, Journal of Parapsychology vol. 4 (1940) pp. 271-298. MR 4461
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1952-09620-8
PII:
S 0002-9904(1952)09620-8
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