Before revision:  For the estimation of a stochastic volatility model , we employ a simple method of estimation and a generalized method of moments estimation based on the realized second and third moments . Conditional thin tale property of the return distribution with given quadratic variation of the return is discussed.
After revision:  For the estimation of a stochastic volatility model . We propose a simple estimation method of a stochastic volatility model using the sample averages of the variations and ARMA estimation. In addition, we compare the results with a generalized method of moments estimation based on the realized second and third moments . Conditional thin tale property of the return distribution with given quadratic variation of the return is discussed.