Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws ∗
作者： Alexander Gnedin , Ben Hansen , Jim Pitman
DOI: 10.1214/07-PS092
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摘要: This paper collects facts about the number of occupied boxes in classical balls-in-boxes occupancy scheme with infinitely many positive frequencies: equivalently, species represented sam- ples from populations species. We present moments this random variable, discuss asymptotic relations among them and re- lated variables, draw connections regular variation, which appears various manifestations. AMS 2000 subject classifications: Primary 60F05, 60F15; secondary
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