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Sampling Techniques and Some Applications

Published online by Cambridge University Press:  11 August 2014

P. G. Moore
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Extract

The idea of a census goes back into the mists of antiquity. It is reported that the Romans under Servius Tullius, the sixth King of Rome about the sixth century B.C., took a census every fifth year and the right of citizenship depended on the making of a complete return. The main objects of the census seem to have been the raising of men and money for further conquests. But the concept of sampling which is often thought to be of more modern origin must have been there even if dormant, for the process of taking a small quantity of material for tasting or testing in order to determine the quality of the bulk has gone on for centuries. However, the big impetus for ideas and practical applications of sampling methods seems not to have come until just after the immense strides taken around 1600 in the field of probability by such men as Cardano, Galileo and later Pascal and Fermat. There is direct evidence that Pascal's work inspired De Witt, the Dutchman who calculated the first life annuities, and no doubt others were similarly inspired.

Type
Research Article
Information
Journal of the Staple Inn Actuarial Society , Volume 14 , Issue 2 , April 1956 , pp. 111 - 128
Copyright
Copyright © Institute of Actuaries Students' Society 1956

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References

REFERENCES

King, Gregory. Published as an appendix to An Estimate of the Comparative Strength of Great Britain, by Chalmers, G., 1803. London.Google Scholar
Halley, E. (1693). Estimates of degrees of mortality. Phil. Trans. 17, 596.Google Scholar
Greenwood, M. (1942). Medical statistics from Graunt to Farr. Biometrika, 32, 203.Google Scholar
Rowntree, B. S. (1901). Poverty, a Study of Town Life. London: Macmillan and Co. Google Scholar
Harper, E. J. (1904). The statistics of London's traffic. J. R. Statist. Soc. 67, 177.Google Scholar
Johnson, N. L. & Tetley, H. (1950). Statistics, Vol. 11. Cambridge University Press.Google Scholar
Neyman, J. (1938). Contribution to the theory of sampling human populations. J. Amer. Statist. Ass. 33, 101.Google Scholar
Campbell, G. C. (1948). Problems with sampling procedures for reserve valuations. J. Amer. Statist. Ass. 43, 413.CrossRefGoogle ScholarPubMed
Andersen, E. S. (1951). The influence on the observed death rate of measuring the exposure by a sample. Trans. 13th Int. Congr. Act. 1, 593.Google Scholar
Gordon Smith, F. (1953). The use of sampling in pension fund valuations. J.I.A. 79, 129.Google Scholar
Church, B. M. (1954). Problems of sample allocation and estimation in an agricultural survey. J. R. Statist. Soc. B, 16, 223.Google Scholar
Jessen, R. J. et al. (1947). On a population sample for Greece. J. Amer. Statist. Ass. 42, 357.CrossRefGoogle ScholarPubMed
Bartky, W. (1943). Multiple sampling with constant probability. Ann. Math. Statist. 14, 363.Google Scholar
Wald, A. (1947). Sequential Analysis. New York: John Wiley.Google Scholar
Johnson, N. L. & Moore, P. G. (1957). Applications of sequential methods to mortality data. J.S.S. 14, 84.Google Scholar
Cochran, W. G. (1953). Sampling Techniques. New York: John Wiley.Google Scholar
Cochran, W. G., Mosteller, F. & Tukey, J. W. (1954). Principles of sampling. J. Amer. Statist. Ass. 49, 13.Google Scholar
Deming, W. E. (1950). Some Theory of Sampling. New York: John Wiley.Google Scholar
Hansen, M. H., Hurwitz, W. N. & Madow, W. G. Sample Survey Methods and Theory. New York: John Wiley.Google Scholar