Hi there!
Apologies for the long wait for a response! It's sort of a convoluted answer.
For practical purposes, the search engines treat subdomains as their own separate domains. So, even though Blogger.com has a DA of 92, if you were to start a blog there you'd still be "starting over" when it comes to building link authority. A new blog there will notbenefit from blogger.com's existing authority.
Where Open Site Explorer and the Mozscape index are concerned, though, you'll still see a DA of 92 on that new, not-yet-established blog. In the simplest terms, that's because OSE calculates _domain _authority, not subdomain authority.
So, in this case, Page Authority would be the better metric by which to evaluate your new blog, as it will be specific to the home page at yourblog.blogger.com.
Does that make sense? 
