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Note on the probability distribution of a small number of vectors

Published online by Cambridge University Press:  24 October 2008

S. A. Vincenz  and
J. McG. Bruckshaw
S. A. Vincenz
Affiliation:
Geophysical Section, Industrial Development Corporation, Jamaica, B.W.I
J. McG. Bruckshaw
Affiliation:
Department of Geophysics, Imperial College of Science, London, S.W.7
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Extract

In this note the problem of random flights is considered for the case of a small number of vectors, each vector possessing the same constant magnitude. A formula is developed which permits the calculation of the probability function of the sum of N + 1 such vectors if the function of the sum of N vectors is known. The formulae for the probability distributions up to N = 8 are quoted and some of their practical applications mentioned.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 1 , January 1960 , pp. 21 - 26
Copyright
Copyright © Cambridge Philosophical Society 1960

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References

REFERENCES

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