Is there an SEO advantage of hosting my blog on an external established Blog system rather than my own?

I have a business blog section on my website. It's basically an area of the website I can regularly update so that the content on my website is fresh. This is supposed to be good for my website in terms of search engines crawlers (apparently they'll return more often).

But would I benefit more if I also have a blog in a proper blogging environment such as Blogger, Wordpress etc. with links to various related pages in my website. I guess the upside would be that I would have relevent inbound links but the downside would be that I wouldn't have the blog on my own site which means no regularly updated content.

Unless I run the blogs simultaneaously, but would that be seen as some sort of Black Hat technique due to the content being duplicated on an external blog which is linking back?

HELP!

Thanks in advance.
Having both blog on my website and on an external system is an option I'm open to, although I feared that I may be marked as a black hat by Search Engines.

If not then I may as well go for that.

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