Abstract
We consider M ≥ 1 independent samples each of which is a realisation of some polynomial scheme. The number of outcomes N and the number of samples M are fixed, the sample sizes grow without bound. We study the asymptotic properties of statistics of the form g(), where g() is a differentiable function of MN real-valued variables, is the vector of relative frequencies of outcomes in samples. Statistics of such a kind are playing an important part in the applied statistical analysis.
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