Abstract
In this work a new family of statistics based on K ϕ -divergence (Burbea and Rao (1982) On the convexity of divergence measures based on entropy function. IEEE Trans Inf Theory 28, 489–495) are obtained by either replacing both distributions involved in the argument by their samples estimates or replacing one distribution and considering the other as given. Asymptotic distributions of these statistics are obtained and test for goodness-of-fit and for homogeneity with a known distribution, can be constructed on the basis of these results
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Pérez, T., Pardo, J.A. The K ϕ-Divergence Statistic for Categorical Data Problems. Metrika 63, 355–369 (2006). https://doi.org/10.1007/s00184-005-0025-8
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DOI: https://doi.org/10.1007/s00184-005-0025-8