Performance measures such as the Sharpe ratio and the information ratio are estimation subject to estimation error. Lo (2002) derives the explicit expressions for the statistical distribution of the Sharpe ratio. Bertrand and Protopopescu (2007) have extended his work to the bivariate case which...

In a recent paper, Lo (2002) derives the asymptotic distribution of the Sharpe ratio under several sets of assumptions for the return-generating process. In this paper, we extend his work to the information ratio (IR), the ratio of the excess return of a portfolio over his benchmark to its...