Аннотация:Let $(X_1,\ldots,X_n)$ and $(Y_1,\ldots,Y_n)$ be two sets of
independent discrete random variables. Explicit upper and lower
bounds for the total variation distance between distributions of
these sets are obtained in terms of some functions of
distributions of separate components $X_k$ and $Y_k$,
$k=1,\ldots,n$. The cases of identical (inside each set) and
arbitrary distributions of random variables are considered.
Results may be used to estimate the sample sizes necessary or
sufficient for testing two hypotheses with given sum of error
probabilities.