M.D. Esteban, Departamento de Estadistica e I.O., Facultad de Matematicas, Universidad Complutense de Madrid, 28040 - Madrid, Spain
Abstract: To study the asymptotic properties of entropy estimates, we use a unified expression, called the $\ache$-entropy. Asymptotic distributions for these statistics are given in several cases when maximum likelihood estimators are considered, so they can be used to construct confidence intervals and to test statistical hypotheses based on one or more samples. These results can also be applied to multinomial populations.
Keywords: entropy, asymptotic distribution, maximum likelihood estimators, testing statistical hypotheses
Classification (MSC 1991): 62B10, 62E20
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