A Consistent Goodness of Fit Test Based on the Total Variation Distance

By László Györfi, E. C. Meulen. 1991

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On the asymptotic properties of a nonparametric L/sub 1/-test statistic of homogeneity (2005, background): “LARGE DEVIATION PROPERTIES For testing a simple hypothesis versus a composite alternative, Györfi and van der Meulen [5] introduced a related goodness of fit test statistic L n defined as L n = m j=1 j n (A nj ) 0 (A nj )j: The asymptotic normality of this statistic in case has a density was discuss”
Consistent Nonparametric Tests of Independence (2010, methodology): “For testing a simple hypothesis versus a composite alternative, Györfi and van der Meulen (1990) introduced a related goodness of fit test statistic L n defined as L n (µ n,1 , µ 1 ) = ∑”