Ghent University Academic Bibliography

Advanced

Imprecise probability models for inference in exponential families

Erik Quaeghebeur and Gert De Cooman UGent (2005) ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS. p.287-296
abstract
When considering sampling models described by a distribution from an exponential family, it is possible to create two types of imprecise probability models. One is based on the corresponding conjugate distribution and the other on the corresponding predictive distribution. In this paper, we show how these types of models can be constructed for any (regular, linear, canonical) exponential family, such as the centered normal distribution. To illustrate the possible use of such models, we take a look at credal classification. We show that they are very natural and potentially promising candidates for describing the attributes of a credal classifier, also in the case of continuous attributes.
Please use this url to cite or link to this publication:
author
organization
year
type
conference (proceedingsPaper)
publication status
published
subject
keyword
Exponential family, Inference, Imprecise probability models, Conjugate analysis, Naive credal classifier
in
ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS
editor
Fabio G Cozman, Robert Nau and Teddy Seidenfeld
pages
287 - 296
publisher
International Society for Imprecise Probability: Theories and Applications (SIPTA)
place of publication
Manno, Switzerland
conference name
4th International Symposium on Imprecise Probabilities and Their Applications
conference location
Pittsburgh, PA, USA
conference start
2005-07-20
conference end
2005-07-23
Web of Science type
Proceedings Paper
Web of Science id
000267124600031
language
English
UGent publication?
yes
classification
P1
copyright statement
I have retained and own the full copyright for this publication
id
320871
handle
http://hdl.handle.net/1854/LU-320871
alternative location
http://www.sipta.org/isipta05/proceedings/019.html
date created
2005-08-26 12:36:00
date last changed
2017-01-02 09:52:53
@inproceedings{320871,
  abstract     = {When considering sampling models described by a distribution from an exponential family, it is possible to create two types of imprecise probability models. One is based on the corresponding conjugate distribution and the other on the corresponding predictive distribution. In this paper, we show how these types of models can be constructed for any (regular, linear, canonical) exponential family, such as the centered normal distribution.
To illustrate the possible use of such models, we take a look at credal classification. We show that they are very natural and potentially promising candidates for describing the attributes of a credal classifier, also in the case of continuous attributes.},
  author       = {Quaeghebeur, Erik and De Cooman, Gert},
  booktitle    = {ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS},
  editor       = {Cozman, Fabio G and Nau, Robert and Seidenfeld, Teddy},
  keyword      = {Exponential family,Inference,Imprecise probability models,Conjugate analysis,Naive credal classifier},
  language     = {eng},
  location     = {Pittsburgh, PA, USA},
  pages        = {287--296},
  publisher    = {International Society for Imprecise Probability: Theories and Applications (SIPTA)},
  title        = {Imprecise probability models for inference in exponential families},
  url          = {http://www.sipta.org/isipta05/proceedings/019.html},
  year         = {2005},
}

Chicago
Quaeghebeur, Erik, and Gert De Cooman. 2005. “Imprecise Probability Models for Inference in Exponential Families.” In ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS, ed. Fabio G Cozman, Robert Nau, and Teddy Seidenfeld, 287–296. Manno, Switzerland: International Society for Imprecise Probability: Theories and Applications (SIPTA).
APA
Quaeghebeur, E., & De Cooman, G. (2005). Imprecise probability models for inference in exponential families. In F. G. Cozman, R. Nau, & T. Seidenfeld (Eds.), ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS (pp. 287–296). Presented at the 4th International Symposium on Imprecise Probabilities and Their Applications, Manno, Switzerland: International Society for Imprecise Probability: Theories and Applications (SIPTA).
Vancouver
1.
Quaeghebeur E, De Cooman G. Imprecise probability models for inference in exponential families. In: Cozman FG, Nau R, Seidenfeld T, editors. ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS. Manno, Switzerland: International Society for Imprecise Probability: Theories and Applications (SIPTA); 2005. p. 287–96.
MLA
Quaeghebeur, Erik, and Gert De Cooman. “Imprecise Probability Models for Inference in Exponential Families.” ISIPTA 05-PROCEEDINGS OF THE FOURTH INTERNATIONAL SYMPOSIUM ON IMPRECISE PROBABILITIES AND THEIR APPLICATIONS. Ed. Fabio G Cozman, Robert Nau, & Teddy Seidenfeld. Manno, Switzerland: International Society for Imprecise Probability: Theories and Applications (SIPTA), 2005. 287–296. Print.