Note on the probability distribution of a small number of vectors
- 1 January 1960
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 56 (1) , 21-26
- https://doi.org/10.1017/s0305004100034253
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- A TEST FOR RANDOMNESS OF DIRECTIONSGeophysical Journal International, 1956
- THE MAGNETIC PROPERTIES OF SOME TERTIARY INTRUSIVES OF THE ISLE OF MULLGeophysical Journal International, 1954
- THE PERMANENT MAGNETISM OF THE MULL LAVASGeophysical Journal International, 1954
- Dispersion on a SphereProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1953
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- XXXI. On the problem of random vibrations, and of random flights in one, two, or three dimensionsJournal of Computers in Education, 1919