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Partial covering of a sphere with random number of spherical caps

In: Tatra Mountains Mathematical Publications, vol. 54, no. 1
Tomasz Gronek - Ewa Schmeidel
Detaily:
Rok, strany: 2013, 73 - 82
Kľúčové slová:
difference equation, random covering, spherical caps, Poisson distribution, expected value
O článku:
In this paper we study sphere coverage issue. A sphere of radius one in a $3$-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.
Ako citovať:
ISO 690:
Gronek, T., Schmeidel, E. 2013. Partial covering of a sphere with random number of spherical caps. In Tatra Mountains Mathematical Publications, vol. 54, no.1, pp. 73-82. 1210-3195.

APA:
Gronek, T., Schmeidel, E. (2013). Partial covering of a sphere with random number of spherical caps. Tatra Mountains Mathematical Publications, 54(1), 73-82. 1210-3195.