R(h,v)(rho 1,rho 2)-divergence statistics are obtained by either repla
cing both distributions involved in the argument by their samples esti
mates or replacing one distribution and considering the other as given
. Asymptotic properties of R(h,v)(rho 1,rho 2)-divergence statistics a
re investigated in a stratified random sampling with independence amon
g strata. Test for goodness of fit, for homogeneity of two parallel sa
mples and for independence, can be constructed on the basis of these r
esults. To finish, an example is given.