Displaying similar documents to “Goodness of fit tests with weights in the classes based on ( h , φ ) -divergences”

Second order asymptotic distribution of the R φ -divergence goodness-of-fit statistics

María Del Carmen Pardo (2000)

Kybernetika

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The distribution of each member of the family of statistics based on the R φ -divergence for testing goodness-of-fit is a chi-squared to o ( 1 ) (Pardo [pard96]). In this paper a closer approximation to the exact distribution is obtained by extracting the φ -dependent second order component from the o ( 1 ) term.

Goodness-of-fit tests based on K φ -divergence

Teresa Pérez, Julio A. Pardo (2003)

Kybernetika

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In this paper a new family of statistics based on K φ -divergence for testing goodness-of-fit under composite null hypotheses are considered. The asymptotic distribution of this test is obtained when the unspecified parameters are estimated by maximum likelihood as well as minimum K φ -divergence.