Erich Leo Lehmann
Encyclopedia
Erich Leo Lehmann was an American statistician
, who contributed to statistical and nonparametric hypothesis testing. He is one of the eponym
s of the Lehmann–Scheffé theorem
and of the Hodges–Lehmann estimator of the median
of a population.
Lehmann obtained his MA
in 1942 and his PhD
in 1946, at the University of California
, where he taught from 1942. During 1944–1945 he worked as an analyst for United States Air Force
. He taught at Columbia University
and at Princeton University
during 1950–51, and then during 1951–1952 he was a visiting associate professor at Stanford University
.
He was an editor of "The Annals of Mathematical Statistics" and president of the Institute of Mathematical Statistics
, and a member of the American Academy of Arts and Sciences
and the National Academy of Science.
In 1997, on the occasion of his eightieth birthday, the department of statistics at the University of California at Berkeley created the Erich Lehmann Fund in Statistics to support the students of the department.
Statistician
A statistician is someone who works with theoretical or applied statistics. The profession exists in both the private and public sectors. The core of that work is to measure, interpret, and describe the world and human activity patterns within it...
, who contributed to statistical and nonparametric hypothesis testing. He is one of the eponym
Eponym
An eponym is the name of a person or thing, whether real or fictitious, after which a particular place, tribe, era, discovery, or other item is named or thought to be named...
s of the Lehmann–Scheffé theorem
Lehmann–Scheffé theorem
In statistics, the Lehmann–Scheffé theorem is prominent in mathematical statistics, tying together the ideas of completeness, sufficiency, uniqueness, and best unbiased estimation...
and of the Hodges–Lehmann estimator of the median
Median
In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to...
of a population.
Lehmann obtained his MA
Master of Arts (postgraduate)
A Master of Arts from the Latin Magister Artium, is a type of Master's degree awarded by universities in many countries. The M.A. is usually contrasted with the M.S. or M.Sc. degrees...
in 1942 and his PhD
PHD
PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...
in 1946, at the University of California
University of California
The University of California is a public university system in the U.S. state of California. Under the California Master Plan for Higher Education, the University of California is a part of the state's three-tier public higher education system, which also includes the California State University...
, where he taught from 1942. During 1944–1945 he worked as an analyst for United States Air Force
United States Air Force
The United States Air Force is the aerial warfare service branch of the United States Armed Forces and one of the American uniformed services. Initially part of the United States Army, the USAF was formed as a separate branch of the military on September 18, 1947 under the National Security Act of...
. He taught at Columbia University
Columbia University
Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...
and at Princeton University
Princeton University
Princeton University is a private research university located in Princeton, New Jersey, United States. The school is one of the eight universities of the Ivy League, and is one of the nine Colonial Colleges founded before the American Revolution....
during 1950–51, and then during 1951–1952 he was a visiting associate professor at Stanford University
Stanford University
The Leland Stanford Junior University, commonly referred to as Stanford University or Stanford, is a private research university on an campus located near Palo Alto, California. It is situated in the northwestern Santa Clara Valley on the San Francisco Peninsula, approximately northwest of San...
.
He was an editor of "The Annals of Mathematical Statistics" and president of the Institute of Mathematical Statistics
Institute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts of the world...
, and a member of the American Academy of Arts and Sciences
American Academy of Arts and Sciences
The American Academy of Arts and Sciences is an independent policy research center that conducts multidisciplinary studies of complex and emerging problems. The Academy’s elected members are leaders in the academic disciplines, the arts, business, and public affairs.James Bowdoin, John Adams, and...
and the National Academy of Science.
In 1997, on the occasion of his eightieth birthday, the department of statistics at the University of California at Berkeley created the Erich Lehmann Fund in Statistics to support the students of the department.
Books
- Basic Concepts of Probability and Statistics, 1964, co-author J. L. Hodges
- Elements of Finite Probability, 1965, co-author J. L. Hodges
- Testing Statistical Hypotheses, 1959
- Theory of Point Estimation, 1983
- Elements of Large-Sample Theory, 1998, ISBN 9780387985954
- Reminiscences of a Statistician, 2007, ISBN 9780387715964
- Fisher, Neyman, and the Creation of Classical Statistics, 2011, ISBN 978-1-4419-9499-8 [published posthumously]