In recent years, Taiwan's financial market has become a rapidly changing global economic environment and increasingly open. In addition to the rapid growth of the domestic stock markets, the financial products are becoming increasingly diverse. Mutual funds has gradually been favored by the general investing public, has become the latest investment tools due to professional investment management, diversify investment risks and quick redemption, etc. The purpose of this study is to discuss the small sample inferences stability and its statistical nature when Sharpe ratio estimator is adopted. Point estimation, interval estimation and hypothesis testing are considered in this research. On the other hand, a new estimate of the Sharpe ratio is proposed.