Abstract

R h, v ϕ1, ϕ2 -divergence statistics are obtained by either replacing both distributions involved in the argument by their samples estimates or replacing one distribution and considering the other as given. Asymptotic properties of R h, v ϕ1, ϕ2 -divergence statistics are investigated in a stratified random sampling with independence among strata. Test for goodness of fit, for homogeneity of two parallel samples and for independence, can be constructed on the basis of these results. To finish, an example is given.

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