Probability of random paths across elementary geometrical shapes

Author:

Horowitz Maurice

Abstract

There are several practical situations where one requires the statistical properties of the straight path length l across a specified geometrical shape. Typical examples are the length of the path of a gamma-ray to the wall of a nuclear reactor (Primak (1956)), the length of a sound ray in a room from one reflection to the next (Kosten (1960)), or the length of a straight path across a square (Horowitz (1964)).

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference5 articles.

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Approximating the Distribution of Random Distances Within and Between Certain Regions of Space;INFOR: Information Systems and Operational Research;2007-05

2. Some properties of chord length distributions;Journal of Applied Probability;1987-12

3. Intercept lengths of random probes through boxes;Journal of Applied Probability;1981-03

4. Some new integral geometric formulae, with stochastic applications;Journal of Applied Probability;1979-09

5. Random paths through convex bodies;Journal of Applied Probability;1969-08

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