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Eugene Lukacs (
Hungarian: ''Lukács Jenő'', 14 August 1906 – 21 December 1987) was a Hungarian-American
statistician
A statistician is a person who works with theoretical or applied statistics. The profession exists in both the private and public sectors.
It is common to combine statistical knowledge with expertise in other subjects, and statisticians may wor ...
notable
[ (Obituary)] for his work in characterization of distributions, stability theory, and being the author of ''Characteristic Functions'', a classic textbook in the field.
Born to a Jewish family in born in
Szombathely
Szombathely (; german: Steinamanger, ; see also other alternative names) is the 10th largest city in Hungary. It is the administrative centre of Vas county in the west of the country, located near the border with Austria. Szombathely lies by t ...
, from six weeks after birth Lukacs lived in
Vienna
en, Viennese
, iso_code = AT-9
, registration_plate = W
, postal_code_type = Postal code
, postal_code =
, timezone = CET
, utc_offset = +1
, timezone_DST ...
,
Austria
Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
. There he received primary and secondary education and studied mathematics at University of Vienna. His professors included
Hans Hahn,
Eduard Helly
Eduard Helly (June 1, 1884 in Vienna – 28 November 1943 in Chicago) was a mathematician after whom Helly's theorem, Helly families, Helly's selection theorem, Helly metric, and the Helly–Bray theorem were named.
Life
Helly earned his docto ...
,
Walther Mayer
Walther Mayer (11 March 1887 – 10 September 1948) was an Austrian mathematician, born in Graz, Austria-Hungary. With Leopold Vietoris he is the namesake of the Mayer–Vietoris sequence in topology.. He served as an assistant to Albert Einstein, ...
,
Leopold Vietoris
Leopold Vietoris (; ; 4 June 1891 – 9 April 2002) was an Austrian mathematician, World War I veteran and supercentenarian. He was born in Radkersburg and died in Innsbruck.
He was known for his contributions to topology—notably the Mayer– ...
and
Wilhelm Wirtinger
Wilhelm Wirtinger (19 July 1865 – 16 January 1945) was an Austrian mathematician, working in complex analysis, geometry, algebra, number theory, Lie groups and knot theory.
Biography
He was born at Ybbs on the Danube and studied at the Unive ...
. In 1930 he earned his doctorate in geometry under the supervision of
Walther Mayer
Walther Mayer (11 March 1887 – 10 September 1948) was an Austrian mathematician, born in Graz, Austria-Hungary. With Leopold Vietoris he is the namesake of the Mayer–Vietoris sequence in topology.. He served as an assistant to Albert Einstein, ...
, and a degree in actuarial science in 1931. Eugene met his future wife Elizabeth Weisz (Lisl) in 1927 at the University of Vienna, and they married in 1935. He taught secondary mathematics for two years and later accepted a position with an insurance company, where Eduard Helly and Z. W. Birnbaum were colleagues. After Germany annexed Austria in 1938, he decided to emigrate to the United States, arriving in 1939.
[Rohatgi (1988)]
In 1953 Eugene joined the
Office of Naval Research
The Office of Naval Research (ONR) is an organization within the United States Department of the Navy responsible for the science and technology programs of the U.S. Navy and Marine Corps. Established by Congress in 1946, its mission is to pla ...
(ONR) USA, and became the director of Statistics. While at ONR he also taught at
American University in
Washington, D.C.
)
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Lukacs joined the
Catholic University of America
The Catholic University of America (CUA) is a private Roman Catholic research university in Washington, D.C. It is a pontifical university of the Catholic Church in the United States and the only institution of higher education founded by U. ...
,
Washington, D.C.
)
, image_skyline =
, image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan, ...
in 1955. There he organized the Statistical Laboratory in 1959 and became its first and only director. Researchers at the Statistical Laboratory included Edward Batschlet, Tatsuo Kawata,
Radha Laha
Radha Govind Laha (1 October 1930 – 14 July 1999) was an Indian probabilist, statistician, and mathematician, known for his work in probability theory, characteristic functions, and characterisation of distributions.Laha, Lukacs, and Newman (1 ...
, M. Masuyama and Vijay Rohatgi, and many distinguished visitors.
On his retirement from Catholic University in 1972, he moved with his colleagues
Laha and Rohatgi to
Bowling Green State University
Bowling Green State University (BGSU) is a Public university, public research university in Bowling Green, Ohio. The main academic and residential campus is south of Toledo, Ohio. The university has nationally recognized programs and research ...
in Bowling Green, Ohio, where he remained until 1976.
His primary interest was in the theory of
characteristic function In mathematics, the term "characteristic function" can refer to any of several distinct concepts:
* The indicator function of a subset, that is the function
::\mathbf_A\colon X \to \,
:which for a given subset ''A'' of ''X'', has value 1 at point ...
s. Prior to publication of his 1960 monograph, ''Characteristic Functions'', the English language textbooks on the subject were translations of works by Cramer, Gnedenko and Kolmogorov, and Loève. Lukacs' monograph was the first to present a unified and detailed treatment of the subject, and has remained a classical reference on the subject. The revised and expanded second edition of ''Characteristic Functions''
appeared in 1970, followed by ''Developments in Characteristics Function Theory''
in 1983. ''Characteristic Functions'' has been translated into several languages and continues to be an essential resource on the subject.
Lukacs was an elected Fellow of the
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 ...
since 1957, and a Fellow of the
American Statistical Association
The American Statistical Association (ASA) is the main professional organization for statisticians and related professionals in the United States. It was founded in Boston, Massachusetts on November 27, 1839, and is the second oldest continuous ...
since 1969. In 1973 he was elected to the
Austrian Academy of Sciences.
Books
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Journal articles
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Notes
See also
*
Lukacs's proportion-sum independence theorem In statistics, Lukacs's proportion-sum independence theorem is a result that is used when studying proportions, in particular the Dirichlet distribution. It is named after Eugene Lukacs.
The theorem
If ''Y''1 and ''Y''2 are non-degenerate, indep ...
*
Eugene Lukacs Distinguished Visiting Professor
References
*J Gani and V K Rohatgi (eds.), Contributions to Probability (New York, 1981).
*J Gani (ed.), The Evolution of a Statistician (Berlin, 1982).
*V K Rohatgi, Obituary: Eugene Lukacs, J. Applied Probability 25 (1988), 641–646.
External links
*
{{DEFAULTSORT:Lukacs, Eugene
20th-century Hungarian mathematicians
1906 births
1987 deaths
Hungarian statisticians
Probability theorists
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Members of the Hungarian Academy of Sciences
University of Vienna alumni
Catholic University of America faculty
Bowling Green State University faculty
Austro-Hungarian mathematicians