INVESTIGADORES
LUCINI Maria magdalena
artículos
Título:
Asymptotic Distribution of Certain Types of Entropy under the Multinomial Law
Autor/es:
REY, ANDREA; FRERY, ALEJANDRO CESAR; LUCINI, MARÍA MAGDALENA; GAMBINI, JULIANA
Revista:
ENTROPY
Editorial:
MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI
Referencias:
Lugar: Basel; Año: 2023 vol. 25
ISSN:
1099-4300
Resumen:
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 verify that these asymptotic models, two of which (Tsallis and Fisher) are normal, describe well a variety of simulated data. In addition, we obtain test statistics for comparing (possibly different types of) entropies from two samples without requiring the same number of categories. Finally, we apply these tests to social survey data and verify that the results are consistent but more general than those obtained with a x2 test.
