Poisson limits for a clustering model of strauss
1977 ◽
Vol 14
(04)
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pp. 776-784
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Keyword(s):
In this article we present a limiting result for the random variable Yn (r) which arises in a clustering model of Strauss (1975). The result is that under some sparseness-of-points conditions the process {Yn (r): 0 ≦ r ≦ r ∞} converges weakly to a non-homogeneous Poisson process {Y(r): 0 ≦ r ≦ r ∞} when n → ∞. Simulation results are given to indicate the accuracy of the approximation when n is moderate and applications of the limiting result to tests for clustering are discussed.
2013 ◽
Vol 43
(1)
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pp. 44-71
2014 ◽
Vol 26
(2)
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pp. 171-183
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2010 ◽
Vol 5
(1)
◽
pp. 31-41
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1995 ◽
Vol 32
(03)
◽
pp. 707-726
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2003 ◽
Vol 19
(2)
◽
pp. 171-181
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2007 ◽
Vol 92
(2)
◽
pp. 243-251
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1969 ◽
Vol 6
(03)
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pp. 692-699
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