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On the Frequency Distribution of Large Errors

Published online by Cambridge University Press:  18 January 2010

A. F. Crossley
A. F. Crossley
Affiliation:
(Meteorological Office)
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Extract

In various papers published recently in the Journal and elsewhere, examples have been given in which the theoretical normal or gaussian distribution of errors does not correspond closely with the distributions found in practice; in particular the frequency of large errors is commonly underestimated by the normal law of errors. This discrepancy is discussed by Anderson who suggests that an exponential distribution may give a more realistic estimate of the frequency of large errors. A closely associated problem is that of determining the frequency distribution of the largest values occurring in a number of samples taken from some parent population. This problem has been solved theoretically for an important class of distributions and it is the object of this article to draw attention to this work and to show how it can be simply applied to practical problems, albeit in a rough and ready manner, without going far into the statistical details with which the subject abounds.

Type
Research Article
Information
The Journal of Navigation , Volume 19 , Issue 1 , January 1966 , pp. 33 - 40
Copyright
Copyright © The Royal Institute of Navigation 1966

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References

REFERENCES

1Anderson, E. W. (1965). Is the gaussian distribution normal? This Journal, 18, 65.Google Scholar
2Gumbel, E. J. (1958). Statistics of Extremes, Columbia University Press, New York.CrossRefGoogle Scholar
3Press, H. (1950). The application of the statistical theory of extreme values to gustload problems, N.A.C.A. Report 991.Google Scholar
4Gumbel, E. J. and Carlson, P. G. (1954). Extreme values in aeronautics, J. Aero. Sci. 21, 389.CrossRefGoogle Scholar
5Court, A. (1952). Some new statistical techniques in geophysics, Advances in Geophysics, 1, 45.CrossRefGoogle Scholar
6Jenkinson, A. F. (1955). The frequency distribution of the annual maximum (or minimum) values of meteorological elements, Quart. J. R. Met. Soc., 81, 158.CrossRefGoogle Scholar
7Gringorten, I. I. (1963). A simplified method of estimating extreme values from data samples, J. appl. Met. 2, p. 82.2.0.CO;2>CrossRefGoogle Scholar
8Brunt, W. E. (1961). An evaluation of the Marconi AD 2300. This Journal, 14, 42.Google Scholar