<p>+1, I think this is a good idea that will help to enforce proper usage of the tag.  However, I'm not sure that tag names can be edited.  What may need to occur is to create a new tag <code>[beta-distribution]</code> and then make <code>[beta]</code> a synonym of it.  </p>

<p>On a somewhat related note, it's worth pointing out that we do have two relevant tags for <em>beta-as-coefficient</em>: <a href="https://stats.stackexchange.com/questions/tagged/regression-coefficients" class="post-tag" title="show questions tagged &#39;regression-coefficients&#39;" rel="tag">regression-coefficients</a>, and <a href="https://stats.stackexchange.com/questions/tagged/predictor" class="post-tag" title="show questions tagged &#39;predictor&#39;" rel="tag">predictor</a>.</p>
