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This set of lecture notes is a much expanded version of lecture notes developed and used by
the first author in courses at Stanford University from 1981 to 1984 and more recently beginning in 2002. T...
Notes on the occupancy problem with infinitely many boxes: General asymptotics and power laws
occupancy problem regular variation asymptotics poissonization species sampling
2009/5/18
This paper collects facts about the number of occupied boxes in the classical balls-in-boxes occupancy scheme with infinitely many positive frequencies: equivalently, about the number of species repre...
Some Notes on Topological Recurrence
Topological recurrence invariant measures iterated function systems laws of pure types
2009/4/24
We review the concept of topological recurrence for weak Feller Markov chains on compact state spaces and explore the implications of this concept for the ergodicity of the processes. We also prove so...
We review the concept of topological recurrence for weak Feller Markov chains on compact state spaces and explore the implications of this concept for the ergodicity of the processes. We also prove so...
Notes on the occupancy problem with infinitely many boxes：general asymptotics and power laws
occupancy problem regular variation asymptotics poissonization species sampling
2010/4/26
This paper collects facts about the number of occupied boxes in
the classical balls-in-boxes occupancy scheme with infinitely many positive
frequencies: equivalently, about the number of species rep...
Some notes on improving upon the James-Stein estimator
The James-Stein estimator quasi-admissibility
2010/4/26
We consider estimation of a multivariate normal mean vector under
sum of squared error loss. We propose a new class of smooth
estimators parameterized by dominating the James-Stein estimator.
The...