		\begin{align} 
		&(\ref{var:firstbound}) \lesssim E\left \{\max_{1\leqslant j \leqslant \tilde{T}} \left |\frac{1}{\tilde{T}} \sum_{k=1}^{\tilde{T}}  W (x_j, x_k)( \zeta_k+\xi_k ) \right|^2 \right\} +o\{(np)^{-1}\}. \label{ineq:sup2max}
		\end{align}
