Species Sampling Models Generated by Negative Binomial Processes

Prof Ross Maller
Prof Ross Maller

Description

We review the developments that led from the Ewens sampling formula via a Dirichlet distribution on the n-dimensional simplex to Kingman's  Poisson-Dirichlet distribution on the infinite simplex. The connection with a  GEM distribution, via size-biasing, is brought out. The Perman, Pitman and Yor approach to the  Poisson-Dirichlet using size biased subordinators is outlined, then a related new class of distributions from trimmed subordinators is defined. A method of fitting the new distribution to data is proposed and illustrated by application to species, gene and word count data. 

Profile of Professor Ross Maller

Date & time

11am 11 October 2018

Location

CBE Lecture Theatre 2, ground floor CBE building (CBE Building 26C, Kingsley St).

Speakers

Professor Ross Maller

Contacts

 Ben Kaehler

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