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B1150
Title: Homogeneity of marginal distributions for a large number of populations Authors:  Virtudes Alba-Fernandez - University of Jaen (Spain) [presenting]
Maria Dolores Jimenez-Gamero - Universidad de Sevilla (Spain)
Abstract: Assume that a random vector $(X,Y)$ is observed in k populations, and independent samples of that random vector are available at each population. Assume that $X$ and $Y$ have the same dimension. The aim is to test the equality of the marginal distributions of $X$ and $Y$ in the $k$ populations when $k$ is large in comparison with the sample sizes. We consider a test statistic that compares the empirical characteristic functions in each population. Under the null, the test statistic is asymptotically normally distributed. A simulation study investigates the finite sample properties of the proposed test.