I have a question, and here it goes : Now that we have a new mad-god, I was wandoring if the daedric statues of Sheogorath on Nirn, transform into the look of the new mad-god? Or does the statues stay the same look as the formor Sheogorath? What do YOU think?

Well, given that none of the current statues actually look like the former Sheogorath I think it's safe to say that they'll stay the same. Besides, the symbolism is more important than the particulars of who the statue may look like...

The "new" Mad God has inherited Sheogorath's mantra - everything he stood for. Madness. THIS IS SPARTA!

Essentially the new Mad God will become more and more like Sheogorath, both in virtues and eventually literally. Bethesda wouldn't dare change his appearance.

Quite so.

Besides which, Daedric princes look however they want to look. I'm not sure there even IS lore that explains how or when or why their statue forms were chosen to be what they are, unless it's that that's how they looked when they were summoned in Daggerfall. And that may well be nothing but vanity -- they would tend to WANT to be recognized.

Well...he kinda did change his appearance from http://www.uesp.net/w/images/DF-Sheogorath.gif -> http://www.uesp.net/w/images/MW-quest-Sheogorath_of_the_House_of_Troubles.jpg -> http://www.uesp.net/w/images/OB-Img-ShrineofSheogorath.JPG -> http://www.uesp.net/w/images/SI-NPC-Sheogorath.jpg, but they all did resemble the same themes, he was a snazy dresser, had a cane, and had a beard.

EDIT: Added links for his pics

Right. As long as the statue possesses symbolism of Sheogorath, he is Sheogorath.