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|workplaces = [[Catholic University of America]] <br /> [[Bowling Green State University]]
|workplaces = [[Catholic University of America]] <br /> [[Bowling Green State University]]
|alma_mater = [[University of Vienna]]
|alma_mater = [[University of Vienna]]
|doctoral_advisor = Walter Meyer
|doctoral_advisor = [[Walther Mayer]]
|known_for = Work in Probability Theory, Characteristic Functions, Characterization of Distributions
|known_for = [[Characteristic function|Characteristic Functions]], Characterization of Distributions
}}
}}


'''Eugene Lukacs''' ([[Hungarian people|Hungarian]]: ''Lukács Jenő'', 14 August 1906 – 21 December 1987) was a Hungarian-American [[statistician]] notable<ref name="rohatgi1989">{{cite journal| doi=10.1007/BF01839488| author=Vijay K. Rohatgi and [[Gabor Szekely|Gábor J. Székely]]|title=Eugene Lukacs| journal=[[Aequationes Mathematicae]]| year=1989| volume=38| pages=1&ndash;8| s2cid=120104820}} (Obituary)</ref> for his work in characterization of distributions, stability theory, and being the author of ''Characteristic Functions'',<ref>{{Cite book |author=E. Lukacs|title=Characteristic Functions)|location=London|publisher=Griffin|year=1960}}</ref> a classic textbook in the field.
'''Eugene Lukacs''' ([[Hungarian people|Hungarian]]: ''Lukács Jenő'', 14 August 1906 – 21 December 1987) was a Hungarian-American [[statistician]] notable<ref name="rohatgi1989">{{cite journal| doi=10.1007/BF01839488| author=Vijay K. Rohatgi and [[Gabor Szekely|Gábor J. Székely]]|title=Eugene Lukacs| journal=[[Aequationes Mathematicae]]| year=1989| volume=38| pages=1&ndash;8| s2cid=120104820}} (Obituary)</ref> for his work in characterization of distributions, stability theory, and being the author of ''Characteristic Functions'',<ref>{{Cite book |author=E. Lukacs|title=Characteristic Functions)|location=London|publisher=Griffin|year=1960}}</ref> a classic textbook in the field.


Born to a Jewish family in born in [[Szombathely]],<ref>{{MacTutor|id=Lukacs|title=Eugene Lukacs}}</ref> from six weeks after birth Lukacs lived in [[Vienna]], [[Austria]]. There he received primary and secondary education and studied mathematics at University of Vienna. His professors included [[Hans Hahn (mathematician)|Hans Hahn]], [[Eduard Helly]], Walter Meyer, [[Leopold Vietoris]] and [[Wilhelm Wirtinger]]. In 1930 he earned his doctorate in geometry under the supervision of Walter Meyer, 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.<ref>Rohatgi (1988)</ref>
Born to a Jewish family in [[Szombathely]],<ref>{{MacTutor|id=Lukacs|title=Eugene Lukacs}}</ref> from six weeks after birth Lukacs lived in [[Vienna]], [[Austria]]. There he received primary and secondary education and studied mathematics at University of Vienna. His professors included [[Hans Hahn (mathematician)|Hans Hahn]], [[Eduard Helly]], [[Walther Mayer]], [[Leopold Vietoris]] 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.<ref>Rohatgi (1988)</ref>


In 1953 Eugene joined the [[Office of Naval Research]] (ONR) USA, and became the director of Statistics. While at ONR he also taught at [[American University]] in [[Washington, D.C.]]
In 1953 Eugene joined the [[Office of Naval Research]] (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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His primary interest was in the theory of [[characteristic function (probability theory)|characteristic function]]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''<ref name=CF2>{{Cite book |author=E. Lukacs|title=Characteristic Functions)|edition=second|location=New York|publisher=Hafner Pub. Co.|year=1970}}</ref> appeared in 1970, followed by ''Developments in Characteristics Function Theory''<ref name=Lukacs83>{{Cite book|author=E. Lukacs|title= Developments in Characteristic Function Theory|publisher=Macmillan|location=New York|year=1983}}</ref> in 1983. ''Characteristic Functions'' has been translated into several languages and continues to be an essential resource on the subject.
His primary interest was in the theory of [[characteristic function (probability theory)|characteristic function]]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''<ref name=CF2>{{Cite book |author=E. Lukacs|title=Characteristic Functions)|edition=second|location=New York|publisher=Hafner Pub. Co.|year=1970}}</ref> appeared in 1970, followed by ''Developments in Characteristics Function Theory''<ref name=Lukacs83>{{Cite book|author=E. Lukacs|title= Developments in Characteristic Function Theory|publisher=Macmillan|location=New York|year=1983}}</ref> 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]] since 1957, and a Fellow of the [[American Statistical Association]] since 1969. In 1973 he was elected to the [[Austrian Academy of Sciences]].
Lukacs was an elected Fellow of the [[Institute of Mathematical Statistics]] since 1957, a Fellow of the [[American Academy of Arts and Sciences]] since 1958,<ref>{{cite web|title=Historic Fellows|website=American Academy of Arts and Sciences (AAAS)|url=https://www.aaas.org/fellows/historic}}(search on "last name=Lukacs")</ref> and a Fellow of the [[American Statistical Association]] since 1969. In 1973 he was elected to the [[Austrian Academy of Sciences]].


==Books==
==Books==
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* {{Cite journal|doi= 10.1007/BF01836038|author1=Laha, R. G. |author2=Lukacs, E.|year=1977|title= On a functional equation which occurs in a characterization problem|journal=[[Aequationes Mathematicae]]|volume= 16|issue= 3|pages= 259–274|s2cid=122866588 }}
* {{Cite journal|doi= 10.1007/BF01836038|author1=Laha, R. G. |author2=Lukacs, E.|year=1977|title= On a functional equation which occurs in a characterization problem|journal=[[Aequationes Mathematicae]]|volume= 16|issue= 3|pages= 259–274|s2cid=122866588 }}
* {{Cite journal|doi=10.2307/3212498|author1=Beer, S. |author2=Lukacs, E.|title= Characterizations of the normal distribution by suitable transformations|journal= Journal of Applied Probability|volume= 10|issue=1|year=1973|pages= 100–108|jstor=3212498 }}
* {{Cite journal|doi=10.2307/3212498|author1=Beer, S. |author2=Lukacs, E.|title= Characterizations of the normal distribution by suitable transformations|journal= Journal of Applied Probability|volume= 10|issue=1|year=1973|pages= 100–108|jstor=3212498 |s2cid=125053197 }}
* {{Cite journal|doi=10.1214/aoms/1177696990|author1=Cuppens, R. |author2=Lukacs, E.|title= On the domains of definition of analytic characteristic functions|journal= Annals of Mathematical Statistics|volume= 41|issue=3 |year=1970|pages= 1096–1101|doi-access=free}}
* {{Cite journal|doi=10.1214/aoms/1177696990|author1=Cuppens, R. |author2=Lukacs, E.|title= On the domains of definition of analytic characteristic functions|journal= Annals of Mathematical Statistics|volume= 41|issue=3 |year=1970|pages= 1096–1101|doi-access=free}}
* {{Cite journal|authors= Laha, R. G. and Lukacs, E. and Rényi, A.|title= A generalization of a theorem of E. Vincze|journal= Magyar Tud. Akad. Mat. Kutató Int. Közl.|volume= 9|year= 1964 |pages=237–239}}
* {{Cite journal|author1=Laha, R. G. |author2=Lukacs, E. |author3=Rényi, A. |title= A generalization of a theorem of E. Vincze|journal= Magyar Tud. Akad. Mat. Kutató Int. Közl.|volume= 9|year= 1964 |pages=237–239}}
* {{Cite journal|doi=10.1214/aoms/1177705675|authors=Laha, R. G. and Lukacs, E. and Newman, M.|year=1960|title=On the independence of a sample central moment and the sample mean|journal=Annals of Mathematical Statistics|volume= 31|issue=4|pages= 1028–1033|doi-access=free}}
* {{Cite journal|doi=10.1214/aoms/1177705675|author1=Laha, R. G. |author2=Lukacs, E. |author3=Newman, M. |year=1960|title=On the independence of a sample central moment and the sample mean|journal=Annals of Mathematical Statistics|volume= 31|issue=4|pages= 1028–1033|doi-access=free}}
* {{Cite journal|doi=10.1214/aoms/1177705675|author1=Laha, R. G. |author2=Lukacs, E.|year=1960|title=On the independence of a sample central moment and the sample mean|journal=Annals of Mathematical Statistics|volume= 31|issue=4 |pages= 1028–1033|doi-access=free}}
* {{Cite journal|doi=10.1214/aoms/1177705675|author1=Laha, R. G. |author2=Lukacs, E.|year=1960|title=On the independence of a sample central moment and the sample mean|journal=Annals of Mathematical Statistics|volume= 31|issue=4 |pages= 1028–1033|doi-access=free}}
* {{Cite journal|author1=Laha, R. G. |author2=Lukacs, E.|year=1960|title= On certain functions of normal variates which are uncorrelated of a higher order| journal=Biometrika|volume= 47|issue=1/2|pages=175–176|doi=10.2307/2332969|jstor=2332969}}
* {{Cite journal|author1=Laha, R. G. |author2=Lukacs, E.|year=1960|title= On certain functions of normal variates which are uncorrelated of a higher order| journal=Biometrika|volume= 47|issue=1/2|pages=175–176|doi=10.2307/2332969|jstor=2332969}}
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* {{Cite journal|doi= 10.1214/aoms/1177728796|author1=Lukacs, Eugene |author2=King, Edgar P.|title=A property of the normal distribution|journal=Annals of Mathematical Statistics|volume=25|issue=2 |year=1954|pages=389–394|doi-access=free}}
* {{Cite journal|doi= 10.1214/aoms/1177728796|author1=Lukacs, Eugene |author2=King, Edgar P.|title=A property of the normal distribution|journal=Annals of Mathematical Statistics|volume=25|issue=2 |year=1954|pages=389–394|doi-access=free}}
* {{Cite journal|author1=Lukacs, Eugene |author2=Szász, Otto |title=Nonnegative trigonometric polynomials and certain rational characteristic functions|journal= Journal of Research of the National Bureau of Standards|volume=52|issue=3 |year=1954|pages=153–160|doi=10.6028/jres.052.021|doi-access=free}}
* {{Cite journal|author1=Lukacs, Eugene |author2=Szász, Otto |title=Nonnegative trigonometric polynomials and certain rational characteristic functions|journal= Journal of Research of the National Bureau of Standards|volume=52|issue=3 |year=1954|pages=153–160|doi=10.6028/jres.052.021|doi-access=free}}
* {{Cite journal|doi= 10.4153/CJM-1954-020-5|author1=Lukacs, Eugene |author2=Szász, Otto |title=Certain Fourier transforms of distributions. II|journal= Canadian Journal of Mathematics|volume=6|year=1954|pages=186–189}}
* {{Cite journal|doi= 10.4153/CJM-1954-020-5|author1=Lukacs, Eugene |author2=Szász, Otto |title=Certain Fourier transforms of distributions. II|journal= Canadian Journal of Mathematics|volume=6|year=1954|pages=186–189|s2cid=247197222 |doi-access=free}}
* {{Cite journal|doi= 10.1214/aoms/1177729389|author= Lukacs, Eugene|title=The stochastic independence of symmetric and homogeneous linear and quadratic statistics|journal=Annals of Mathematical Statistics|volume=23|issue= 3|year=1952|pages=442–449|doi-access=free}}
* {{Cite journal|doi= 10.1214/aoms/1177729389|author= Lukacs, Eugene|title=The stochastic independence of symmetric and homogeneous linear and quadratic statistics|journal=Annals of Mathematical Statistics|volume=23|issue= 3|year=1952|pages=442–449|doi-access=free}}
* {{Cite journal|doi= 10.1214/aoms/1177731647|author= Lukacs, Eugene|title=A characterization of the normal distribution|journal=Annals of Mathematical Statistics|volume=13|year=1942|pages=91–93|doi-access=free}}
* {{Cite journal|doi= 10.1214/aoms/1177731647|author= Lukacs, Eugene|title=A characterization of the normal distribution|journal=Annals of Mathematical Statistics|volume=13|year=1942|pages=91–93|doi-access=free}}
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==References==
==References==
*J Gani and V K Rohatgi (eds.), Contributions to Probability (New York, 1981).
*J Gani and V K Rohatgi (eds.), Contributions to Probability (New York, 1981). [https://books.google.com/books?id=9qziBQAAQBAJ 2014 pbk reprint]
*J Gani (ed.), The Evolution of a Statistician (Berlin, 1982).
*J Gani (ed.), The Evolution of a Statistician (Berlin, 1982).
*V K Rohatgi, Obituary: Eugene Lukacs, J. Applied Probability 25 (1988), 641–646.
*V K Rohatgi, Obituary: Eugene Lukacs, J. Applied Probability 25 (1988), 641–646. {{jstor|3213993}}


==External links==
==External links==
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[[Category:Probability theorists]]
[[Category:Probability theorists]]
[[Category:Fellows of the American Statistical Association]]
[[Category:Fellows of the American Statistical Association]]
[[Category:Fellows of the American Academy of Arts and Sciences]]
[[Category:Fellows of the Institute of Mathematical Statistics]]
[[Category:Fellows of the Institute of Mathematical Statistics]]
[[Category:Members of the Hungarian Academy of Sciences]]
[[Category:Members of the Hungarian Academy of Sciences]]
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[[Category:Catholic University of America faculty]]
[[Category:Catholic University of America faculty]]
[[Category:Bowling Green State University faculty]]
[[Category:Bowling Green State University faculty]]
[[Category:Austro-Hungarian mathematicians]]
[[Category:Mathematicians from Austria-Hungary]]
[[Category:Mathematical statisticians]]

Latest revision as of 17:51, 10 February 2024

Eugene Lukacs
Eugene Lukacs (1906–1987)
Born14 August 1906
Szombathely, Austria-Hungary
Died21 December 1987 (1987-12-22) (aged 81)
Washington, D.C.
Alma materUniversity of Vienna
Known forCharacteristic Functions, Characterization of Distributions
Scientific career
FieldsMathematician, Probabilist, Statistician
InstitutionsCatholic University of America
Bowling Green State University
Doctoral advisorWalther Mayer

Eugene Lukacs (Hungarian: Lukács Jenő, 14 August 1906 – 21 December 1987) was a Hungarian-American statistician notable[1] for his work in characterization of distributions, stability theory, and being the author of Characteristic Functions,[2] a classic textbook in the field.

Born to a Jewish family in Szombathely,[3] from six weeks after birth Lukacs lived in Vienna, Austria. 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 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.[4]

In 1953 Eugene joined the Office of Naval Research (ONR) USA, and became the director of Statistics. While at ONR he also taught at American University in Washington, D.C.

Lukacs joined the Catholic University of America, Washington, D.C. 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 in Bowling Green, Ohio, where he remained until 1976.

His primary interest was in the theory of characteristic functions. 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[5] appeared in 1970, followed by Developments in Characteristics Function Theory[6] 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 since 1957, a Fellow of the American Academy of Arts and Sciences since 1958,[7] and a Fellow of the American Statistical Association since 1969. In 1973 he was elected to the Austrian Academy of Sciences.

Books

[edit]
  • E. Lukacs; R. G. Laha (1964). Applications of Characteristic Functions (Griffin's Statistical Monographs & Courses, No. 14). New York: T. Hafner Pub. Co. p. 202.
  • E. Lukacs (1970). Characteristic Functions) (second ed.). New York: Hafner Pub. Co.
  • E. Lukacs (1972). Probability and Mathematical Statistics; An Introduction. New York: Academic Press.
  • E. Lukacs (1975). Stochastic Convergence. New York: Academic Press.
  • E. Lukacs (1983). Developments in Characteristic Function Theory. New York: Macmillan.

Journal articles

[edit]

Notes

[edit]
  1. ^ Vijay K. Rohatgi and Gábor J. Székely (1989). "Eugene Lukacs". Aequationes Mathematicae. 38: 1–8. doi:10.1007/BF01839488. S2CID 120104820. (Obituary)
  2. ^ E. Lukacs (1960). Characteristic Functions). London: Griffin.
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Eugene Lukacs", MacTutor History of Mathematics Archive, University of St Andrews
  4. ^ Rohatgi (1988)
  5. ^ E. Lukacs (1970). Characteristic Functions) (second ed.). New York: Hafner Pub. Co.
  6. ^ E. Lukacs (1983). Developments in Characteristic Function Theory. New York: Macmillan.
  7. ^ "Historic Fellows". American Academy of Arts and Sciences (AAAS).(search on "last name=Lukacs")

See also

[edit]

References

[edit]
  • 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. JSTOR 3213993
[edit]
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