Abstract
The coverage problem on the circle is considered from the shadowing process point of view. A random number of shadow arcs are distributed on a circle. The length of each arc is a random variable which depends on the random diameter of a shadowing disk and its random location. Formulae are derived for the numerical determination of the moments of the measure of vacancy of arcs on the circle, for a special example. An approximation to the distribution of the measure of vacancy is also provided.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference9 articles.
1. On the probability distribution of the measure of the union of random sets placed in a Euclidean space;Takács;Ann. Univ. Sci. Budapest, Sect. Math.,1958
2. The problem of random intervals on a line
3. Random arcs on the circle
4. Geometric Probability
5. The distribution of shadows;Chernoff;J. Math. Mech.,1957
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