TY - JOUR

T1 - Normal approximation for isolated balls in an urn allocation model

AU - Penrose, M D

PY - 2009/10

Y1 - 2009/10

N2 - Consider throwing n balls at random into m urns, each ball landing in urn i with probability p(i). Let S be the resulting number of singletons, i. e., urns containing just one ball. We give an error bound for the Kolmogorov distance from the distribution of S to the normal, and estimates on its variance. These show that if n, m and (p(i),1

AB - Consider throwing n balls at random into m urns, each ball landing in urn i with probability p(i). Let S be the resulting number of singletons, i. e., urns containing just one ball. We give an error bound for the Kolmogorov distance from the distribution of S to the normal, and estimates on its variance. These show that if n, m and (p(i),1

UR - http://www.scopus.com/inward/record.url?scp=77956126639&partnerID=8YFLogxK

UR - http://arxiv.org/abs/0901.3493

UR - http://www.emis.ams.org/journals/EJP-ECP/

M3 - Article

SN - 1083-6489

VL - 14

SP - 2156

EP - 2181

JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 74

ER -