On a Rapid Simulation of the Dirichlet Process

Details On a Rapid Simulation of the Dirichlet Process On a Rapid Simulation of the Dirichlet Process

2011-07-04

arxiv.org/abs/1107.0521v3

Statistics

Machine Learning

Copy right regulations. The paper has been accepted

Scientific paper

We describe a simple and efficient procedure for approximating the L\'evy measure of a $\text{Gamma}(\alpha,1)$ random variable. We use this approximation to derive a finite sum-representation that converges almost surely to Ferguson's representation of the Dirichlet process based on arrivals of a homogeneous Poisson process. We compare the efficiency of our approximation to several other well known approximations of the Dirichlet process and demonstrate a substantial improvement.

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