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Asymptotic Distribution of Certain Types of Entropy under the Multinomial Law

SIMPLE SUMMARY: We obtain expressions for the asymptotic distributions of the Rényi and Tsallis of order q entropies, and Fisher information when computed on the maximum likelihood estimator of probabilities from multinomial random samples. We recall results related to the Shannon entropy. We build...

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Detalles Bibliográficos
Autores principales: Rey, Andrea A., Frery, Alejandro C., Lucini, Magdalena, Gambini, Juliana, Chagas, Eduarda T. C., Ramos, Heitor S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10217615/
https://www.ncbi.nlm.nih.gov/pubmed/37238489
http://dx.doi.org/10.3390/e25050734