Azarenka won all 14 net points in the match to make it 12 straight victories in 2013, including winning a second consecutive Australian Open title.
"The score never tells the whole story, really. We had a lot of really long rallies. I was expecting that. She's a very good fighter," Azarenka said. "I really felt like I took big advantage of the important moments, stayed aggressive, and really dictated my game."
Sharapova, looking for her third title in Qatar, broke Stosur twice to lead 4-1 in the first set. She took a 3-0 lead in the second before Stosur staged a brief comeback, but she missed a chance to even it at 4-4. The Russian closed it out when her backhand clipped the net and dropped over.
"I really started playing well when I had to and being aggressive at the right times," Sharapova said. "On the important points when I had to, I came up with really great first serves. That helped me win."
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