Stein's method in a two-dimensional coverage problem

David J. Aldous

Statistics & Probability Letters, 1989, vol. 8, issue 4, 307-314

Abstract: Consider a Poisson process of unit squares in the plane, with intensity [theta]. Let q(L, [theta]) be the chance that an L x L square is completely covered by the randomly-positioned unit squares. Stein's method is used to give explicit bounds on q(L, [theta]), improving on the known asymptotic (L, [theta] --> [infinity]) results.

Keywords: random; coverage; marked; point; process; Poisson; process; Stein's; method (search for similar items in EconPapers)
Date: 1989
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