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 -