77 citations · 195 across the 14 of their papers we have counts for
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math.PR2009
Laws of large numbers and nearest neighbor distances
Mathew D. Penrose, J. E. Yukich
We consider the sum of power weighted nearest neighbor distances in a sample of size n from a multivariate density f of possibly unbounded support. We give various criteria guarant…
math.PR2009
Poisson process Fock space representation, chaos expansion and covariance inequalities
Guenter Last, Mathew D. Penrose
We consider a Poisson process on an arbitrary measurable space with an arbitrary sigma-finite intensity measure. We establish an explicit Fock space representation of square in…
math.PR2009
Normal approximation for isolated balls in an urn allocation model
Mathew D. Penrose
Consider throwing balls at random into urns, each ball landing in urn with probability . Let be the resulting number of singletons, i.e., urns containing just…