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The problem of bivariate (multivariate) dependence has enjoyed the attention of researchers for over a century, since independence in the data is often a desired property. There exists a vast literature on measures of dependence, based mostly on the distance of the joint distribution of the data...
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In a recent paper, Zografos [K. Zografos, On Mardia’s and Song’s measures of kurtosis in elliptical distributions, J. Multivariate Anal. 99 (2008) 858–879] has obtained general formulas for Song’s measure for the elliptic family of distributions, and he introduced and studied its sample...
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We propose two families of maximally selected phi-divergence tests for studying change point locations when the unknown probability vectors of a sequence of multinomial random variables, with possibly different sizes, are piecewise constant. In addition, these test-statistics are valid to...
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