@inproceedings{GdC-2010-IPMU,
  author = {De Cooman, Gert and Quaeghebeur, Erik},
  editor = {Eyke Hüllermeier, Rudolf Kruse, Frank Hoffmann},
  title = {Infinite exchangeability for sets of desirable gambles},
  booktitle = {Information Processing and Management of Uncertainty in Knowledge-Based Systems, part I},
  year = {2010},
  venue = {Dortmund, Germany},
  eventdate = {2010-06-28/2010-07-02},
  eventtitle = {SMPS 2006: 4th International Conference on Soft Methods in Probability and Statistics},
  series = {Communications in Computer and Information Science},
  number = {80},
  publisher = {Springer},
  location = {Berlin, Germany},
  issn = {1865-0929},
  isbn = {978-3-642-14054-9},
  pages = {60--69},
  url = {http://hdl.handle.net/1854/LU-984155},
  doi = {10.1007/978-3-642-14055-6_7}
  abstract = {
    Sets of desirable gambles constitute a quite general type of uncertainty model with an interesting geometrical interpretation.
    We study infinite exchangeability assessments for them, and give a counterpart of de Finetti's infinite representation theorem.
    We show how the infinite representation in terms of frequency vectors is tied up with multivariate Bernstein (basis) polynomials.
    We also lay bare the relationships between the representations of updated exchangeable models, and discuss conservative inference (natural extension) under exchangeability. 
  },
  keywords = {weak desirability, desirability, updating, sets of desirable gambles, natural extension, coherence, representation, exchangeability},
}