LI Kaican, LIN Cunjin. Collapsibility of Mutual Information[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(5): 480-494. DOI: 10.3969/j.issn.1001-4268.2019.05.004
Citation: LI Kaican, LIN Cunjin. Collapsibility of Mutual Information[J]. Chinese Journal of Applied Probability and Statistics, 2019, 35(5): 480-494. DOI: 10.3969/j.issn.1001-4268.2019.05.004

Collapsibility of Mutual Information

  • hen the distribution of random variable V_1,V_2 and V_3 composes an I\times J\times K contingency table, this paper research the collapsibility of entropy, and present necessary and sufficient conditions for simple collapsibility and strong collapsibility of mutual information by the research on collapsibility of entropy, which are considered under the condition of sub-independence.
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