Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-29T03:34:45.363Z Has data issue: false hasContentIssue false
  • English
  • Français

Error Distributions in Navigation

Published online by Cambridge University Press:  18 January 2010

J. B. Parker
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Graduating error distributions by families of curves has a long and distinguished history. In seeking a class of frequency distributions which graduate navigational data, Anderson and Ellis are motivated by the well-known shortcomings of the normal distribution which so often fails to do justice to the data in the tails of the distribution. They generalize the one parameter (σ) zero-mean gaussian family to a two parameter (α, β) family which is in fact the Pearson Type VII class. They then observe that this class graduates published navigational distributions very wells.

Type
Forum
Information
The Journal of Navigation , Volume 25 , Issue 2 , April 1972 , pp. 250 - 252
Copyright
Copyright © The Royal Institute of Navigation 1972

References

REFERENCES

1Anderson, E. W. and Ellis, D. M. (1971). Error distributions in navigation. This Journal, 24, 429.Google Scholar
2Kendall, M. G. and Stuart, A. (1958). The Advanced Theory of Statistics, Vol. 1, pages 152 and 175 (Example 6.1), Griffin.Google Scholar
3Parker, J. B. (1966). The exponential integral frequency distribution. This Journal, 19, 526Google Scholar
4Durst, C. S. (1959). Abnormal errors and aircraft separation over the North Atlantic. This Journal, 12, 41.Google Scholar
5Parker, J. B. (1958). The effect of blunders on collision risk calculations. This Journal, 11, 29.Google Scholar
6Crossley, A. F. (1966). On the frequency distribution of large errors. This Journal, 19, 33.Google Scholar
7Lloyd, D. A. (1966). A probability distribution for a time varying quantity. This Journal, 19, 119.Google Scholar
8Reich, P. G. (1966). Analysis of long-range air traffic systems separation standards—II. This journal, 19, 169.Google Scholar
9Anderson, E. W. and Parker, J. B. (1956). Observational Errors, Institute of Navigation monograph, John Murray.Google Scholar
10Parker, J. B. (1952). The treatment of simultaneous position data in the air. This Journal, 5, 235.Google Scholar
11Anderson, E. W. (1965). Is the gaussian distribution normal? This Journal, 18, 65.Google Scholar