Abstract
λ-divergence statistics are obtained by either replacing both distributions involved in the argument by their sample estimates or replacing one distribution and considering the other as given. Asymptotic properties of λ-divergence statistics are investigated in a stratified random sampling with proportional allocation and independence among strata. Test for goodness of fit, for homogeneity with a known distribution, for homogeneity of two parallel samples and for independence can be constructed on the basis of these results.
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