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The Appendix is organized as follows:
\begin{enumerate}
    \item Section~\ref{appendix:utility_results} provides some useful results used in subsequent analyses
    \item Section~\ref{appendix:entrywise_error_bounds} provides high probability Entrywise Error Bounds on the entries of $\voja$
    \item Section~\ref{appendix:estimator_bias_variance} has the Bias and Concentration calculation of our estimator designed in Algorithm~\ref{alg:variance_estimation}
    \item Section~\ref{appendix:entrywise_clt} provides a Central Limit Theorem for the entries of the Oja vector, $\voja$, which ties the results developed in Section~\ref{appendix:estimator_bias_variance} to provide confidence intervals
\end{enumerate}

\input{Appendix/appendix_utility_results}
\input{Appendix/appendix_estimator_bias_variance}
\input{Appendix/appendix_entrywise_bounds}
\input{Appendix/appendix_entrywise_CLT}







