Statistical Estimation of Mutual Information for Mixed Modelстатья
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Дата последнего поиска статьи во внешних источниках: 25 ноября 2020 г.
Аннотация:Asymptotic unbiasedness and L2-consistency are established for variousstatistical estimates of mutual information in the mixed models framework.Such models are important, e.g., for analysis of medical and biological data.The study of the conditional Shannon entropy as well as new results devoted tostatistical estimation of the differential Shannon entropy are employedessentially. Theoretical results are completed by computer simulations forlogistic regression model with different parameters. The numerical experimentsdemonstrate that new statistics, proposed by the authors, have certainadvantages.