<p>I recently made a question that gathered no attention: <a href="https://stats.stackexchange.com/questions/408516/bootstrap-and-numerical-optimization-of-statistic">Bootstrap and numerical optimization of statistic</a>.</p>

<p>I think I've come up with a much simpler and to-the-point way of asking the same thing (posted below). My question here is, can I delete the old question (it doesn't have even a comment) and create a new one, or will this be seen as me trying to game the system?</p>

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<p><strong>New formulation of the question</strong></p>

<p>Often times the bootstrap is used with a statistic that can be <em>analytically evaluated</em> (both in the real and the resampled datasets), e.g. the mean.</p>

<p>But if the statistic can not be analytically obtained (e.g., if we are maximizing a likelihood through some <em>numerical optimization</em> process), each bootstrap resample will contain an "extra" degree of uncertainty, as we are not really obtaining the <em>true</em> statistic for each resample but an approximation to it.</p>

<p>Does the bootstrap account for this "extra" uncertainty?</p>
