University of Cambridge > Talks.cam > Probability > Limits of Polya urns with innovations

  Browse A-Z

Log in

Cambridge users (raven)details Other usersdetails No account?details

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

Limits of Polya urns with innovations

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Jason Miller.

We consider a version of the classical P\’olya urn scheme which incorporates innovations. The space $S$ of colors is an arbitrary measurable set. After each sampling of a ball in the urn, one returns $C$ balls of the same color and additional balls of different colors given by some finite point process $\xi$ on $S$. When the number of steps goes to infinity, the empirical distribution of the colors in the urn converges to the normalized intensity measure of $\xi$, and we analyze the fluctuations. The ratio $\rho= \E©/\E®$ of the average number of copies to the average total number of balls returned plays a key role.

This talk is part of the Probability series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Type the title of a new list here Stories Behind the Stitches: Schoolgirl Samplers of the 18th and 19th Centuries Department of Public Health and Primary Care

Other talks

Antarctic landfast sea ice Hydrodynamization and asymptotics: the early to late times in relativistic hydrodynamics On wall-ice accretion or melting in shear flow Emergence of Spatial Structure in Growing Bacterial Biofilms and its Implications for Evolution Discussion: Operational use of climate output Advancing Arctic sea ice probabilistic predictive capability from sub-seasonal to decadal (S2D) using the Regional Arctic System Model
 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity