Review of Halphen Distribution Family with Application in Hydrological Frequency Analysis by Salahedddine El Adlouni and Bernard Bobee

摘要

In his foreword, Professor Jacques Bernier provides a glimpse of the history of the Halphen distribution family originated by Etienne Halphen who worked at Societe Hydrotechnique de France (SHF) in France from 1940 to 1954. In 1940 SHF, headed by Pierre Masse, was created for developing probabilistic and statistical techniques for the management of hydroelectric resources. Inspired by Professor Bernier, Professors El Adlouni and Bobee took on the challenge of writing this monograph on the Halphen distribution family that comprises three three-parameter distributions. Although these distributions possess a number of desiderata, they have been less than popular in the hydrologic literature, let alone in practice. Some of their desirable characteristics are generality, flexibility, versatility, and sufficiency of estimators. Both authors have extensively worked on the Halphen distributions and are therefore uniquely qualified to write this much needed book.