Rank − 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents
名次减去二分之一:改进尾部指数 OLS 估计的简便方法
Despite the availability of more sophisticated methods, a popular way to estimate a Pareto exponent is still to run an OLS regression: log(Rank) = a − b log(Size), and take b as an estimate of the Pareto exponent. The reason for this popularity is arguably the simplicity and robustness of this method. Unfortunately, this procedure is strongly biased in small samples. We provide a simple practical remedy for this bias, and propose that, if one wants to use an OLS regression,…