A bivariate exponential distribution arising in random geometry
type: Item
instance of: scholarly article
title: A bivariate exponential distribution arising in random geometry
zbMATH Open document ID: 0619.60018
DOI: 10.1007/BF02491452
author: Richard Cowan
published in: Annals of the Institute of Statistical Mathematics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60D05
Mathematics Subject Classification ID: 60E05
zbMATH DE Number: 4005230
zbMATH Keywords: bivariate exponential
zbMATH Keywords: random geometry
zbMATH Keywords: Poisson line process
reviewed by: Lars Holst
MaRDI profile type: Publication
cites work: Q5633539
cites work: A generalized bivariate exponential distribution
cites work: RANDOM POLYGONS DETERMINED BY RANDOM LINES IN A PLANE
cites work: Q4110292
cites work: Q4160140
full work available at URL: https://doi.org/10.1007/bf02491452
OpenAlex ID: W2053053966
description: scientific article; zbMATH DE number 4005230