Gaussian limits for random measures in geometric probability
نویسندگان
چکیده
منابع مشابه
Gaussian limits for random geometric measures
Given n independent random marked d-vectors Xi with a common density, define the measure νn = ∑ i ξi, where ξi is a measure (not necessarily a point measure) determined by the (suitably rescaled) set of points near Xi. Technically, this means here that ξi stabilizes with a suitable power-law decay of the tail of the radius of stabilization. For bounded test functions f on R, we give a central l...
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Given n independent random marked d-vectors Xi with a common density, define the measure νn = ∑ i ξi, where ξi is a measure (not necessarily a point measure) determined by the (suitably rescaled) set of points near Xi. Technically, this means here that ξi stabilizes with a suitable power-law decay of the tail of the radius of stabilization. For bounded test functions f on Rd, we give a law of l...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 2005
ISSN: 1050-5164
DOI: 10.1214/105051604000000594