  In this paper we calculate leading order correction due to small statistical
fluctuations around equilibrium, to the Bekenstein-Hawking entropy formula for
the Achucarro-Oritz black hole, which is the most general two-dimensional black
hole derived from the three-dimensional rotating Banados-Teitelboim-Zanelli
black hole. Then we obtain the same correction to the Cardy-Verlinde entropy
formula (which is supposed to be an entropy formula of conformal field theory
in any dimension).
