Abstract
We consider a measure of the diversity of a population based on the λ-measure of hypoentropy introduced by Ferreri (1980). Our purpose is to study its asymptotic distribution for testing hypotheses. A numerical example based on real data is given.
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BICKEL, P. J. and DOKSUM K. A. (1977):Mathematical Statistics, Holden-Day, Inc., Oakland, California.
FERRERI, C (1980): «Hypoentropy and related heterogeneity, divergence and information measures»,Statistica, anno XL, 2, 155–167.
MORALES, D.; TANEJA, I. J., and PARDO, L. (1990): «Hypoentropy as an index of diversity», Proceeding of the 2nd Word Congress of the Bernoulli Society.
NAYAK, T. K. (1985): «On Diversity Measures based on Entropy Functions»,Commun. Statis.-Theory and Methods, 14, 1, 203–215.
NAYAK, T. P. (1983): «Applications of entropy functions in measurement and analysis of diversity»,Ph. D. thesis. Un., Pittsburgh, Ed. Un. Microfilm International.
PARDO, L.; MORALES, D., and TANEJA, I. J. (1991): «λ-measures of hypoentropy and comparison of experiments: Bayesian approach».Statistica, anno LI, 2.
RAO, C. R. (1982): «Diversity and dissimilarity coefficients: a unified approach»,Theo. Popln. Bio., 21, 24–43.
TANEJA, I. J. (1986): «λ-Measures of hypoentropy and their applications»,Statistica, anno XLVI, 4, 465–478.
TANEJA, I. J.; PARDO, L., and MORALES, D. (1991): «λ-Measures of hypoentropy and comparison of experiments: Blackwell and Lhemann approach».Kybernetika, 27, 5, 413–420.
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This work was partially supported by the Dirección General de Investigación Cientifica y Técnica (DGICYT) under the contract PS89-0019.
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Morales, D., Taneja, I.J. & Pardo, L. Some statistical inferences regarding population diversity in terms of the hypoentropy measure. TDE 6, 55–65 (1991). https://doi.org/10.1007/BF02873523
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DOI: https://doi.org/10.1007/BF02873523