 $$\label{00)}  \mathop{\lim }\limits_{\pi _{S} \to \infty } \Pr \left(\left|{\rm {\mathcal S}}_{I}^{\left(\pi _{S} \right)} \left(R_{j} \right)\right|>B\right)<C_{0} \omega \left(\pi _{S} \left(\gamma \left(\pi _{S} \right)=0\right)\right),$$ th