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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

(1)Bruckshaw, J. M. and Vincenz, S. A.Mon. Not. R. Astr. Soc., Geophys. Suppl. 6 (1954), 579.Google Scholar
(2)Chandrasekhar, S.Rev. Mod. Phys. 15 (1943), 1.Google Scholar
(3)Fisher, Sir RonaldProc. Roy. Soc. A, 217 (1953), 295.Google Scholar
(4)Rayleigh, LordTheory of sound (London, 1878).Google Scholar
(5)Rayleigh, LordPhil. Mag. 37 (1919), 321.CrossRefGoogle Scholar
(6)Vincenz, S. A.Ph.D. Thesis, Imperial College (London, 1952).Google Scholar
(7)Vincenz, S. A.Mon. Not. R. Astr. Soc., Geophys. Suppl. 6 (1954), 590.CrossRefGoogle Scholar
(8)Watson, G. S.Mon. Not. R. Astr. Soc., Geophys. Suppl. 7 (1956), 160.CrossRefGoogle Scholar