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Goodness-of-fit tests based on maximum correlations and their orthogonal decompositions

J. Fortiana, A. Grané

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 2003 · Volume 65 · Issue 1

DOI: 10.1111/1467-9868.00375

Abstract

Summary.We propose a goodness-of-fit statisticQnbased on the Hoeffding maximum correlation for testing uniformity and we show its relationship to Gini's mean difference. We compute exact and asymptotic critical values and study the power of the test proposed against a representative set of alternatives.

Keywords

Goodness of fit, L-statistics, Maximum correlation, Orthogonal decomposition of statistics

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