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SUMMARY:The combinatorial structure of conditionally i.i.d. negative binom
 ial processes directed by a beta process - Creighton Heaukulani (Universit
 y of Cambridge)
DTSTART:20130606T120000Z
DTEND:20130606T123000Z
UID:TALK45721@talks.cam.ac.uk
CONTACT:Creighton Heaukulani
DESCRIPTION:We give a simple constructive characterization of a beta negat
 ive binomial process\, i.e.\, a random measure that is conditionally a neg
 ative binomial process\, given a beta process base measure.  Our results b
 uild on those for exchangeable sequences of Bernoulli process directed by 
 beta processes developed by Roy (2013)\, where a beta process is reinterpr
 eted as a continuum of Dirichlet processes\, so that a directed sequence o
 f Bernoulli processes is a continuum of Blackwell-MacQueen urn schemes.\n\
 nWe then define a negative binomial Indian buffet process (NB-IBP)\, which
  is the discrete-time combinatorial stochastic process underlying exchange
 able sequences of negative binomial processes directed by a beta process. 
  In particular\, the NB-IBP is an exchangeable sequence of multisets.  Sim
 ilar to the IBP\, the NB-IBP induces a distribution over non-negative inte
 ger-valued matrices.\n\nJoint work with Daniel M. Roy.
LOCATION:Engineering Department\, CBL Room BE-438
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