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\begin{equation}  P\bigg\{\sup_{a\in \Lambda} \bigg |\int Q(z,a)dF(z) - \frac{1}{l}\sum_{i=1}^{l}Q(z_i,a) \bigg | > \epsilon \bigg \} \xrightarrow[l \rightarrow \infty]{} 0  \end{equation}  is called uniform convergence of means to their mathematical expectations over a given set of functions. Similarly, the relationship for any $\espilon $\epsilon  > 0$ \begin{equation}  P\bigg\{\sup_{a\in \Lambda} \bigg (\int Q(z,a)dF(z) - \frac{1}{l}\sum_{i=1}^{l}Q(z_i,a) \bigg ) > \epsilon \bigg \} \xrightarrow[l \rightarrow \infty]{} 0  \end{equation}