Before revision:  On the other hand, the number of records of a discrete-time random walk in a given time-interval follows a Gaussian distribution provided that its increment distribution has finite variance. As as consequence, record statistics of uncorrelated, biased, random walks provide an attractive new estimator of Sharpe ratios  .
After revision:  On the other hand, the number of records of a discrete-time random walk in a given time-interval follows a Gaussian distribution that depends on its true Sharpe ratio. Reversely, this suggests an estimator of Sharpe ratios .