Stochastic processes associated with random divisions of a line
- 1 July 1953
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 49 (3) , 473-485
- https://doi.org/10.1017/s0305004100028644
Abstract
A class of stochastic processes associated with points randomly distributed in a line of finite extensionL, is considered. A general integral equation for the function representing the probability distribution of the stochastic variable under consideration is derived and solved by using the Laplace transform technique. Examples of the above class of processes are cited. In particular, the problem of the fluctuations in brightness of the Milky Way is discussed in detail. The results of Chandrasekhar and Munch in regard to this astrophysical problem are derived in a simple and direct manner.This publication has 11 references indexed in Scilit:
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