Professor Erich Lehmann’s Contributions to Testing of Hypotheses and Estimation

Abstract

Professor Erich Lehmann, a major figure in the field of statistics, made fundamental contributions to several areas of statistical theory, especially in testing of hypotheses and estimation of unknown parameters. Although the foundations of these statistical methods were laid by Fisher, Neyman and Wald during the first half of the last century, no critical evaluation of these techniques was available. Lehmann by himself and in collaboration with some of his colleagues at the statistics department of the University of California, Berkeley, made a systematic study of these problems and provided a coherent theoretical structure. His contributions are reflected in his two great books. Testing of Hypotheses (1959) and Theory of Point Estimation (1983), which continue to be center pieces of graduate statistical education and have been translated into several languages.KeywordsUnbiased EstimationUnbiased EstimatorAmerican Statistical AssociationSimilar RegionFinite PopulationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.