Eugene Lukacs
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__NOTOC__ Eugene Lukacs ( Hungarian: ''Lukács Jenő'', 14 August 1906 – 21 December 1987) was a Hungarian-American
statistician A statistician is a person who works with Theory, theoretical or applied statistics. The profession exists in both the private sector, private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, a ...
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
Szombathely } Szombathely (; ; also see #Etymology, 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 the streams ''Perint'' and '' ...
, from six weeks after birth Lukacs lived in
Vienna Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. ...
,
Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
. There he received primary and secondary education and studied mathematics at University of Vienna. His professors included Hans Hahn, Eduard Helly, Walther Mayer,
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 May ...
and Wilhelm Wirtinger. In 1930 he earned his doctorate in geometry under the supervision of Walther Mayer, 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. 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 plan ...
(ONR) USA, and became the director of Statistics. While at ONR he also taught at
American University The American University (AU or American) is a Private university, private University charter#Federal, federally chartered research university in Washington, D.C., United States. Its main campus spans 90-acres (36 ha) on Ward Circle, in the Spri ...
in
Washington, D.C. Washington, D.C., formally the District of Columbia and commonly known as Washington or D.C., is the capital city and federal district of the United States. The city is on the Potomac River, across from Virginia, and shares land borders with ...
Lukacs joined the
Catholic University of America The Catholic University of America (CUA) is a private Catholic research university in Washington, D.C., United States. It is one of two pontifical universities of the Catholic Church in the United States – the only one that is not primarily a ...
,
Washington, D.C. Washington, D.C., formally the District of Columbia and commonly known as Washington or D.C., is the capital city and federal district of the United States. The city is on the Potomac River, across from Virginia, and shares land borders with ...
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, 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, United States. The main academic and residential campus is south of Toledo, Ohio. The university has nationally recognized progr ...
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 points ...
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, a Fellow of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
since 1958,(search on "last name=Lukacs") 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 The Austrian Academy of Sciences (; ÖAW) is a legal entity under the special protection of the Republic of Austria. According to the statutes of the Academy its mission is to promote the sciences and humanities in every respect and in every fi ...
.


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)
2014 pbk reprint
*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 American Academy of Arts and Sciences 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 Mathematicians from Austria-Hungary Mathematical statisticians