Joint distribution of direction and length of typical I-segment in a homogeneous random planar tessellation stable under iteration |
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Authors: | J. Mecke |
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Affiliation: | (1) The University of Jena, Jena, Germany |
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Abstract: | The paper deals with homogeneous random planar tessellations stable under iteration (random STIT tessellations). The length distribution of the typical I-segment is already known in the isotropic case [8]. In the present paper, the anisotropic case is treated. Then also the direction of the typical I-segment is of interest. The joint distribution of direction and length of the typical I-segment is evaluated. As a first step, the corresponding joint distribution for the so-called typical remaining I-segment is derived. Dedicated to the 80th birthday of Klaus Krickeberg |
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Keywords: | Stochastic geometry random tessellation iteration/nesting of tessellations stability of distributions |
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