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Weighted (h,?)-divergences in goodness-of-fit with composite null hypotheses

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Abstract:

Purpose ? Proposes a test of goodness-of-fit with composite null hypotheses and weights in the classes based on weighted (h,?)-divergences. Design/methodology/approach ? The weighted (h,?)-divergence between an empirical distribution and the probability of the estimated model is here investigated for large simple random samples. Findings ? The unknown parameters of the model are estimated using minimum (h,?)-divergences estimators with weights as studied in previous works by the authors. Originality/value ? Research makes an important contribution to (h,?)-divergences and their applications in statistical and other areas.

Keywords: Cybernetics; Modelling

Document Type: Research Article

DOI: http://dx.doi.org/10.1108/03684920610662467

Publication date: June 1, 2006

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