RESEARCH ARTICLE

A note on residual allocation models

  • Shui FENG
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  • Department of Mathematics and Statistics, McMaster University, Hamilton, Ont L8S 4K1, Canada

Received date: 09 Oct 2020

Accepted date: 14 Oct 2020

Published date: 15 Apr 2021

Copyright

2020 Higher Education Press

Abstract

Residual allocation models (RAMs) arise in many subjects including Bayesian statistics, combinatorics, ecology, finance, information theory, machine learning, and population genetics. In this paper, we give a brief review of RAM and presents a few examples where the model arises. An extended discussion will focus a concrete model, the GEM distribution, and its ordered analogue, the Poisson-Dirichlet distribution. The paper concludes with a discussion of the GEM process.

Cite this article

Shui FENG . A note on residual allocation models[J]. Frontiers of Mathematics in China, 2021 , 16(2) : 381 -394 . DOI: 10.1007/s11464-020-0871-8

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