213:, 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.
28:
264:, 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
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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,
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189:. There he received primary and secondary education and studied mathematics at University of Vienna. His professors included
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Laha, R. G.; Lukacs, E. (1960). "On certain functions of normal variates which are uncorrelated of a higher order".
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359:
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Beer, S.; Lukacs, E. (1973). "Characterizations of the normal distribution by suitable transformations".
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Laha, R. G.; Lukacs, E. (1977). "On a functional equation which occurs in a characterization problem".
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has been translated into several languages and continues to be an essential resource on the subject.
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notable for his work in characterization of distributions, stability theory, and being the author of
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Applications of
Characteristic Functions (Griffin's Statistical Monographs & Courses, No. 14)
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687:"The stochastic independence of symmetric and homogeneous linear and quadratic statistics"
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Laha, R. G.; Lukacs, E.; Rényi, A. (1964). "A generalization of a theorem of E. Vincze".
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625:"Nonnegative trigonometric polynomials and certain rational characteristic functions"
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Laha, R. G.; Lukacs, E. (1960). "On a problem connected with quadratic regression".
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V K Rohatgi, Obituary: Eugene Lukacs, J. Applied
Probability 25 (1988), 641–646.
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On his retirement from
Catholic University in 1972, he moved with his colleagues
220:(ONR) USA, and became the director of Statistics. While at ONR he also taught at
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J Gani and V K Rohatgi (eds.), Contributions to
Probability (New York, 1981).
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209:. In 1930 he earned his doctorate in geometry under the supervision of
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494:"On the independence of a sample central moment and the sample mean"
467:"On the independence of a sample central moment and the sample mean"
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427:"On the domains of definition of analytic characteristic functions"
242:, M. Masuyama and Vijay Rohatgi, and many distinguished visitors.
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J Gani (ed.), The
Evolution of a Statistician (Berlin, 1982).
166:, 14 August 1906 – 21 December 1987) was a Hungarian-American
325:
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Journal of
Research of the National Bureau of Standards
253:
in
Bowling Green, Ohio, where he remained until 1976.
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Fellows of the
American Academy of Arts and Sciences
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Fellows of the Institute of Mathematical Statistics
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87:
77:
55:
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652:"Certain Fourier transforms of distributions. II"
1000:Fellows of the American Statistical Association
714:"A characterization of the normal distribution"
270:Developments in Characteristics Function Theory
905:Eugene Lukacs Distinguished Visiting Professor
864:Developments in Characteristic Function Theory
571:"A characterization of the gamma distribution"
343:Developments in Characteristic Function Theory
260:. Prior to publication of his 1960 monograph,
181:, from six weeks after birth Lukacs lived in
8:
1015:Members of the Hungarian Academy of Sciences
900:Lukacs's proportion-sum independence theorem
882:American Academy of Arts and Sciences (AAAS)
851:(second ed.). New York: Hafner Pub. Co.
465:Laha, R. G.; Lukacs, E.; Newman, M. (1960).
318:(second ed.). New York: Hafner Pub. Co.
309:. New York: T. Hafner Pub. Co. p. 202.
291:since 1969. In 1973 he was elected to the
256:His primary interest was in the theory of
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954:MacTutor History of Mathematics Archive
821:MacTutor History of Mathematics Archive
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598:"A property of the normal distribution"
596:Lukacs, Eugene; King, Edgar P. (1954).
454:Magyar Tud. Akad. Mat. Kutató Int. Közl
1030:Bowling Green State University faculty
1025:Catholic University of America faculty
975:20th-century Hungarian mathematicians
285:American Academy of Arts and Sciences
7:
650:Lukacs, Eugene; Szász, Otto (1954).
623:Lukacs, Eugene; Szász, Otto (1954).
281:Institute of Mathematical Statistics
279:Lukacs was an elected Fellow of the
1035:Mathematicians from Austria-Hungary
174:, a classic textbook in the field.
94:, Characterization of Distributions
14:
718:Annals of Mathematical Statistics
691:Annals of Mathematical Statistics
602:Annals of Mathematical Statistics
575:Annals of Mathematical Statistics
498:Annals of Mathematical Statistics
471:Annals of Mathematical Statistics
431:Annals of Mathematical Statistics
492:Laha, R. G.; Lukacs, E. (1960).
425:Cuppens, R.; Lukacs, E. (1970).
289:American Statistical Association
287:since 1958, and a Fellow of the
656:Canadian Journal of Mathematics
886:(search on "last name=Lukacs")
390:Journal of Applied Probability
305:E. Lukacs; R. G. Laha (1964).
268:appeared in 1970, followed by
251:Bowling Green State University
232:Catholic University of America
132:Bowling Green State University
128:Catholic University of America
1:
293:Austrian Academy of Sciences
283:since 1957, a Fellow of the
1020:University of Vienna alumni
336:. New York: Academic Press.
327:. New York: Academic Press.
177:Born to a Jewish family in
1056:
1040:Mathematical statisticians
216:In 1953 Eugene joined the
849:Characteristic Functions)
797:Characteristic Functions)
757:(1989). "Eugene Lukacs".
562:10.1093/biomet/47.3-4.335
316:Characteristic Functions)
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32:Eugene Lukacs (1906–1987)
25:
959:University of St Andrews
826:University of St Andrews
760:Aequationes Mathematicae
360:Aequationes Mathematicae
274:Characteristic Functions
266:Characteristic Functions
262:Characteristic Functions
258:characteristic functions
218:Office of Naval Research
172:Characteristic Functions
92:Characteristic Functions
990:Hungarian statisticians
731:10.1214/aoms/1177731647
712:Lukacs, Eugene (1942).
704:10.1214/aoms/1177729389
685:Lukacs, Eugene (1952).
615:10.1214/aoms/1177728796
588:10.1214/aoms/1177728549
569:Lukacs, Eugene (1955).
511:10.1214/aoms/1177705675
484:10.1214/aoms/1177705675
444:10.1214/aoms/1177696990
866:. New York: Macmillan.
669:10.4153/CJM-1954-020-5
345:. New York: Macmillan.
334:Stochastic Convergence
995:Probability theorists
753:Vijay K. Rohatgi and
945:Robertson, Edmund F.
812:Robertson, Edmund F.
642:10.6028/jres.052.021
82:University of Vienna
943:O'Connor, John J.;
810:O'Connor, John J.;
222:American University
878:"Historic Fellows"
862:E. Lukacs (1983).
847:E. Lukacs (1970).
799:. London: Griffin.
795:E. Lukacs (1960).
773:10.1007/BF01839488
373:10.1007/BF01836038
341:E. Lukacs (1983).
332:E. Lukacs (1975).
323:E. Lukacs (1972).
314:E. Lukacs (1970).
230:Lukacs joined the
207:Wilhelm Wirtinger
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100:Scientific career
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236:Washington, D.C.
226:Washington, D.C.
203:Leopold Vietoris
139:Doctoral advisor
71:Washington, D.C.
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59:21 December 1987
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195:Eduard Helly
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168:statistician
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124:Institutions
118:Statistician
99:
985:1987 deaths
980:1906 births
662:: 186–189.
179:Szombathely
164:Lukács Jenő
114:Probabilist
45:Szombathely
969:Categories
911:References
785:(Obituary)
550:Biometrika
521:Biometrika
460:: 237–239.
240:Radha Laha
63:1987-12-22
781:120104820
724:: 91–93.
678:247197222
418:125053197
381:122866588
272:in 1983.
191:Hans Hahn
160:Hungarian
894:See also
931:3213993
767:: 1–8.
541:2332969
410:3212498
187:Austria
61: (
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183:Vienna
106:Fields
927:JSTOR
777:S2CID
740:Notes
674:S2CID
537:JSTOR
414:S2CID
406:JSTOR
377:S2CID
299:Books
247:Laha
205:and
56:Died
38:Born
769:doi
726:doi
699:doi
664:doi
637:doi
610:doi
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