Is there any difference between the statistics of an ascended weapon and a legendary weapon ?
Now that you can select the category of statistics of a legendary, you can't see the stats in-game unless you have one, so I am not able to verify myself.
I would prefer in-game screenshots or a developer citation if possible.
Best Answer
As Vael has already answered, there is no difference in stats between a Legendary and an Ascended weapon. They do the same damage and have the same level of bonuses. The main difference is that Legendaries have "fancier" visual effects (such as the skin, footprints, animations, particle effects) and that, when you're out of combat, you can double-click the weapon and select any triple-attribute stat type (Berserker's, Soldier's, Knight's, etc.).
To confirm, compare Zojja's Claymore, an ascended greatsword, from the wiki...
...with a screenshot of my Twilight set to Berserker's stats:
Both do 1,045 - 1,155 damage and, with the Twilight set to Berserker's, add 188 Power, 134 Precision and 134 Ferocity to your stats.