A bivariate exponential distribution arising in random geometry (Q1089666)
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scientific article; zbMATH DE number 4005230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bivariate exponential distribution arising in random geometry |
scientific article; zbMATH DE number 4005230 |
Statements
A bivariate exponential distribution arising in random geometry (English)
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1987
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Consider a Poisson line process in the plane. Let R(s) be the distance to the nearest line of the process in the direction of angle s, \(0\leq s<2\pi\). For fixed s the random variable R(s) is exponentially distributed. In this paper the joint distribution of two such random variables R(t), \(R(t+a)\) is studied.
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bivariate exponential
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random geometry
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Poisson line process
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