Dilation and Asymmetric Relevance

Arthur Paul Pedersen, Gregory Wheeler
Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications, PMLR 103:324-326, 2019.

Abstract

A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.

Cite this Paper


BibTeX
@InProceedings{pmlr-v103-pedersen19a, title = {Dilation and Asymmetric Relevance}, author = {Pedersen, Arthur Paul and Wheeler, Gregory}, booktitle = {Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications}, pages = {324--326}, year = {2019}, editor = {De Bock, Jasper and de Campos, Cassio P. and de Cooman, Gert and Quaeghebeur, Erik and Wheeler, Gregory}, volume = {103}, series = {Proceedings of Machine Learning Research}, month = {03--06 Jul}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v103/pedersen19a/pedersen19a.pdf}, url = {http://proceedings.mlr.press/v103/pedersen19a.html}, abstract = {A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.} }
Endnote
%0 Conference Paper %T Dilation and Asymmetric Relevance %A Arthur Paul Pedersen %A Gregory Wheeler %B Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications %C Proceedings of Machine Learning Research %D 2019 %E Jasper De Bock %E Cassio P. de Campos %E Gert de Cooman %E Erik Quaeghebeur %E Gregory Wheeler %F pmlr-v103-pedersen19a %I PMLR %P 324--326 %U http://proceedings.mlr.press/v103/pedersen19a.html %V 103 %X A characterization result of dilation in terms of positive and negative association admits an extremal counterexample, which we present together with a minor repair of the result. Dilation may be asymmetric whereas covariation itself is symmetric. Dilation is still characterized in terms of positive and negative covariation, however, once the event to be dilated has been specified.
APA
Pedersen, A.P. & Wheeler, G.. (2019). Dilation and Asymmetric Relevance. Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications, in Proceedings of Machine Learning Research 103:324-326 Available from http://proceedings.mlr.press/v103/pedersen19a.html.

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