Partial covering of a sphere with random number of spherical caps
Abstract
In this paper we study sphere coverage issue. A sphere of radius one in an $3$-dimensional Euclidean space is given. We consider random location of \textit{N} spherical caps on a sphere, assuming that $N$ is a discrete stochastic variable with a Poisson distribution. Using suitable difference equation, the expected area of the covered region is investigated.
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PDFDOI: https://doi.org/10.2478/tatra.v54i0.209