In extreme-value analysis, a central topic is the adaptive estimation of the extreme-value index gamma. Hitherto, most of the attention in this area has been devoted to the case gamma > 0, that is, when F is a regularly varying function with index -1/gamma. In addition to the well-known Hill estimator, many other estimators are currently available. Among the most important are the kemel-type estimators and the weighted least-squares slope estimators based on the Pareto quantile plot or the Zipf plot, as reviewed by Csorgo and Viharos. Using an exponential regression model (ERM) for spacings between successive extreme order statistics, both Beirlant et al. and Feuerverger and Hall introduced bias-reduced estimators.