Stein's method in a two-dimensional coverage problem

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.

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Year of publication:	1989
Authors:	Aldous, David J.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 8.1989, 4, p. 307-314
Publisher:	Elsevier
Keywords:	random coverage marked point process Poisson process Stein's method

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005223995