Special Collections Department
403 Parks Library
Iowa State University
Ames, IA 50011-2140
MS 282
Eugene Lukacs (1906-1987)
Papers, 1899-1987, undated
creator: | Lukacs, Eugene (1906-1987) |
title: | Papers |
dates: | 1899-1987, undated |
extent: | 9.24 linear feet (22 document boxes) |
collection number: | MS 282 |
repository: | Special Collections Department, Iowa State University. |
access: | Open for research |
publication rights: | Consult Head, Special Collections Department |
preferred citation: | Eugene Lukacs Papers, MS 282, Special Collections Department, Iowa State University Library. |
Engineer and statistician Eugene Lukacs was born (1906) in Hungary, and he grew up in Vienna, Austria. Lukacs worked as a secondary school teacher and actuary in Vienna through most of the 1930s. Being of Jewish ancestry, he left for the United States in 1939. Lukacs worked for most of his career at the Catholic University of America in Washington, D. C. (1955-1972). His interests included the theory of characteristic functions, characterization of distributions, robustness (stability) of characterization results, and functional equations. The collection contains biographical material, papers, correspondence, research, lecture notes, teaching materials, notebooks containing theorems and equations, and papers by other authors. |
Eugene Lukacs was born on August 14, 1906 in Szombathely, Hungary, and he grew up in Vienna, Austria. He studied mechanical engineering at the Technical University of Vienna before transferring to the University of Vienna for a mathematics degree (1929). Lukacs furthered his education at the University of Vienna, earning a Ph.D. (1930) in mathematics. He received an actuarial degree (1931) the following year. Lukacs worked as a secondary school teacher and actuary in Vienna through most of the 1930s. Being of Jewish ancestry, he left for the United States after German troops entered Austria (1939). After arriving in the United States, Lukacs held several teaching jobs before spending the bulk of his career at the Catholic University of America in Washington, D.C. (1955-1972). He also taught at American University (1951-1957), and Bowling Green State University (1972-1975). At Bowling Green, he was named Distinguished University Professor (1973). Lukacs' primary area of interest was in the theory of characteristic functions. He authored one of the first works on characteristic functions in English, his monograph Characteristic Functions (1960). He also published a second monograph on characteristic functions, Developments in Characteristics Function Theory (1983). His other research interests included characterization of distributions, robustness (stability) of characterization results, and functional equations. Lukacs was elected a fellow of the Institute of Mathematical Statistics (1957), the American Association for Advancement of Science (1958), and the American Statistical Association (1969). He was also a member of the Austrian Academy of Sciences. Lukacs married Elizabeth Weisz, whom he met while at the University of Vienna. Lukacs died on December 21, 1987 in Washington, D.C. |
The collection (1899-1987, undated) contains biographical material, a selection of Lukacs’ papers, correspondence, research, lecture notes, teaching materials, notebooks containing theorems and equations, and papers by other authors. The bulk of his personal papers are from his time at Catholic University and Bowling Green State University, which include lecture notes and other teaching materials. The notebooks contain theorems and equations that were the basis of many articles he wrote. In addition to authoring numerous papers, Lukacs edited papers written by other researchers and in some cases, translated them from German or Russian to English. The articles relate to research and theory in statistics. The biographical material includes a diary, diplomas, certificates, news clippings and general biographical information. Some of the material, such as the diary and early correspondence, is in German. |
Other statistics collections are listed in the Statistical Collections Subject Guide: http://findingaids.lib.iastate.edu/spcl/collections/statistics.html |
Series 1 | Biographical material | 1916-1987, undated |
extent: | 0.42 linear feet (1 document box) | |
description: | This series contains biographical material about Eugene Lukacs, including a diary, diplomas, certificates, and general biographical information. Arranged chronologically. |
Box |
Folder |
Title |
Dates |
1 |
1 |
Diary |
1916-1923 |
1 |
2 |
Diplomas and certificates |
1920-1969, undated |
1 |
10 |
Biographical materials, photograph (1- 8x10" b/w) |
1926-1987, undated |
1 |
3 |
Retirement information |
1950-1956, undated |
1 |
4 |
Membership and ID cards: Eugene and Elizabeth Lukacs |
1968-1984, undated |
1 |
5 |
Who’s Who in America |
1972-1977 |
1 |
6 |
Newspaper clippings and photographs |
1974, undated |
1 |
7 |
Photographs: Eugene Lukacs (2- 3x5" b/w, 1- 3x5" color) |
1976, undated |
1 |
8 |
Academic Press: biographical material and correspondence |
1981 |
1 |
9 |
"Eugene Lukacs" - The Making of Statisticians |
1982 |
17 |
7 |
"On the Equation...: to Professor Lukacs in His 75th Year" |
undated |
Map Case |
C406 D15 |
Honorary degree certificate from Universitas Vindobonensis, Vienna, Austria |
undated |
Series 2 | Correspondence | 1939-1987, undated |
extent: | 1.26 linear feet (3 document boxes) | |
description: | This series contains both outgoing and incoming letters, memoranda, and other correspondence. Arranged chronologically. |
Box |
Folder |
Title |
Dates |
1 |
11 |
Correspondence |
1939-1941, undated |
1 |
12 |
Correspondence |
1939-1952 |
1 |
13 |
Correspondence |
1941-1942 |
1 |
14 |
Correspondence |
1943-1945 |
1 |
15 |
Correspondence |
1945-1956, undated |
1 |
16 |
Correspondence |
1946-1948 |
1 |
17 |
Correspondence |
1948-1953 |
1 |
18 |
Correspondence with Otto Szasz |
1950 |
1 |
19 |
Correspondence |
1951-1952, undated |
1 |
20 |
Memorandum of Agreement between John H. Curtiss and Eugene Lukacs |
1953 |
2 |
1 |
Correspondence |
1953-1956, undated |
18 |
2 |
Kendall papers and related correspondence |
1958, undated |
20 |
8 |
Correspondence |
1959-1962, undated |
20 |
9 |
Linnik correspondence |
1959-1962, undated |
2 |
2 |
Correspondence |
1961-1987, undated |
19 |
10 |
Paul Levy correspondence |
1962-1965, undated |
2 |
3 |
Howard Tucker correspondence |
1963-1967 |
17 |
17 |
Griffin Contracts and Royalty Statement correspondence |
1963-1975 |
2 |
4 |
Correspondence |
1964-1966, undated |
2 |
5 |
D.C. Heath and Company correspondence |
1964-1971, undated |
2 |
6 |
Sabbatical Leave |
1969, undated |
2 |
7 |
Academic Press - memos and correspondence |
1969-1970, undated |
20 |
7 |
Correspondence |
1970 |
2 |
8 |
Copyright correspondence |
1970-1972 |
2 |
9 |
Correspondence |
1971-1974, undated |
20 |
3 |
Correspondence |
1972-1973 |
2 |
10 |
Correspondence |
1972-1979 |
20 |
4 |
Correspondence |
1973 |
2 |
11 |
Osterreichische Akademie der Wissenschaften |
1973, undated |
2 |
12 |
Griffin correspondence |
1974 |
20 |
1 |
Correspondence |
1974-1975 |
20 |
2 |
Correspondence |
1975 |
2 |
13 |
Zolotarev correspondence |
1975-1976 |
2 |
14 |
Correspondence |
1975-1982 |
2 |
15 |
Correspondence Related to "Transactions of the Seventh Prague Conference and 1974 EMS" |
1976 |
2 |
16 |
Correspondence with Dr. E. Hiesmayr |
1976 |
2 |
17 |
Correspondence |
1976-1980 |
2 |
18 |
Peter Ney correspondence |
1977 |
2 |
19 |
David Swanson correspondence |
1977-1978 |
2 |
20 |
Konigs-Springer Verlag correspondence |
1977-1981 |
2 |
21 |
Correspondence |
1978-1981 |
20 |
5 |
Correspondence |
1978-1983 |
2 |
22 |
Laue correspondence |
1979 |
2 |
23 |
Reinhardt and Denzel correspondence |
1979 |
3 |
1 |
Papers and related correspondence |
1979-1980, undated |
3 |
2 |
Zolotarev papers and correspondence |
1979-1980, undated |
3 |
3 |
Correspondence |
1979-1981, undated |
3 |
4 |
Rossberg correspondence |
1979-1982, undated |
3 |
5 |
Kubilius correspondence |
1980, undated |
3 |
6 |
Rossberg correspondence |
1980, undated |
3 |
7 |
F. Wang correspondence |
1980-1981, undated |
3 |
8 |
Aczel correspondence |
1981 |
3 |
9 |
Pista, Vincze correspondence |
1981 |
3 |
10 |
Panaretos correspondence |
1981-1982 |
3 |
11 |
Correspondence |
1981-1982, undated |
20 |
6 |
Correspondence |
1981-1983 |
3 |
12 |
Gut correspondence |
1982 |
3 |
13 |
Laha correspondence |
1982 |
3 |
14 |
Patil correspondence |
1982 |
3 |
15 |
Swanson and Jacobs correspondence |
1982 |
3 |
16 |
Correspondence |
1982-1983, undated |
3 |
17 |
American Mathematical Society correspondence |
1983 |
Series 3 | Professional career and research | 1925-1983, undated |
extent: | 2.1 linear feet (5 document boxes) | |
description: | This series contains papers related to various locations where Lukacs taught and conducted research, including Illinois College, Our Lady of Cincinnati College, Catholic University, and Bowling Green State University. Many folders contain notebooks with theorems and equations that were the basis of many articles he wrote. Some of these articles may be found in Series 4. Arranged chronologically. |
Box |
Folder |
Title |
Dates |
4 |
2 |
Mengenlehre II |
1925-1926 |
4 |
3 |
Mengenlehre II |
1926 |
4 |
4 |
Funktionentheorie |
1926-1927 |
4 |
5 |
Elliptische Funktionen |
1927-1928 |
4 |
6 |
Elliptische und Abelsche Funktionen II |
1928 |
4 |
7 |
Documents regarding teaching in Vienna |
1930-1931 |
17 |
10 |
Park School |
1938-1941 |
4 |
8 |
Illinois College materials |
1942-1943 |
4 |
9 |
Berea College employment |
1944-1945 |
4 |
10 |
Our Lady of Cincinnati College |
1945-1953 |
4 |
11 |
China Lake Naval Ordnance Test Station |
1947-1951 |
5 |
1 |
Naval Ordnance Test Station - personal history and clearance number |
1948-1950 |
5 |
2 |
National Bureau of Standards |
1949-1950 |
5 |
3 |
National Bureau of Standards (3- 8x10" b/w photos) |
1949, undated |
5 |
4 |
Civil Service Commission Editorial Committee |
1950-1951 |
17 |
11 |
Abraham Wald - noted statistician and colleague |
1950, undated |
17 |
12 |
Canadian Mathematical Congress, summer seminar |
1951 |
5 |
5 |
The American University |
1951-1957 |
17 |
13 |
Otto Szasz - notes statistician and colleague |
1952-1953, undated |
5 |
6 |
Office of Naval Research - employment-related material |
1953-1956 |
5 |
7 |
Catholic University of America (1- 8x10" b/w photo) |
1954-1979, undated |
5 |
8 |
Roster of science personnel |
1956, undated |
17 |
14 |
American Statistical Association - Institute of Mathematical Statistics Fellowship |
1957-1969 |
17 |
15 |
Society of the Sigma Xi |
1957, undated |
5 |
13 |
"Recent Developments of the Characteristic Problem" -Lecture |
1960 |
17 |
16 |
Visitor Professorships - Europe |
1961-1971, undated |
6 |
1 |
Notes and Mathematical Problems |
1965-1981 |
6 |
2 |
Notes and correspondence |
1965, undated |
17 |
18 |
Reviews and translations |
1970-1975, undated |
18 |
13 |
National Science Foundation and Bowling Green State - budget information, correspondence, documents |
1970-1979 |
5 |
9 |
Bowling Green State University employment information |
1971-1975 |
5 |
10 |
Manchester-Sheffield School of Probability and Statistics |
1972-1974, undated |
5 |
14-16 |
Lecture notes and exams |
1963, undated |
19 |
11 |
"Mathematicians Under Hitler" - book mentioning Lukacs; written by Max Pinl & Lux Furtmuller |
1973 |
19 |
8 |
International Symposium on Asymptotic Theory of Statistical Tests and Estimation - information |
1979 |
5 |
17 |
Probability and Statistics 531 |
1979, undated |
5 |
18 |
Teaching Materials for Probability and Statistics |
1979, undated |
19 |
7 |
At Bowling Green, "Professors of Distinction" - article |
1980 |
17 |
19 |
Conference on "Analytical Methods in Probability Theory" - notes, information |
1980-1981, undated |
5 |
19 |
"Stability Theorems" - Lecture |
1982 |
18 |
11 |
Fourth Pannonian Symposium - information |
1982-1983, undated |
18 |
5 |
International Symposium on Functional Equations - information |
1983, undated |
4 |
1 |
Mengenlehre |
undated |
5 |
20 |
Introductory Statistics course notes (1- 1x1.5" b/w photo) |
undated |
5 |
11 |
Naval Ordnance Test Station - job description, function of the assessment section |
undated |
5 |
12 |
U.S. Naval Ordnance Test Station |
undated |
6 |
3-5 |
Answers to problems in "Probability and Statistics" |
undated |
6 |
6 |
Limit theorem notes and writings |
undated |
6 |
7 |
Math problems |
undated |
6 |
8 |
Notebook - mathematical equations |
undated |
6 |
9 |
Notebook - mathematical equations and notes |
undated |
7 |
1-3 |
Notes |
undated |
7 |
4-5 |
Notebooks: various mathematical proofs |
undated |
7 |
6 |
Notes on Russian papers |
undated |
7 |
7 |
Notes - "Stochastic Convergence" |
undated |
7 |
8 |
Notes - "Stochastic Convergence II" |
undated |
7 |
9 |
Numerical examples for "b_{n+1}=2n+1" |
undated |
7 |
10 |
Proof for b_{i}=I and b_{i}=2n-1, and attempt to all b; odd (February 11) |
undated |
7 |
11 |
"Random Power Series" writings, notes, additions |
undated |
8 |
1-2 |
"Stochastic Convergence" notes and writings |
undated |
8 |
3 |
Tschebyscheff’s polynomials |
undated |
8 |
4 |
Work with R. G. Laha on generalization of Cramer’s theorem |
undated |
18 |
1 |
Mathematical notes - including characteristic functions |
undated |
18 |
3 |
"Characterization of the Multivariate Poisson Distribution" - transparencies |
undated |
18 |
4 |
"On A Functional Equation which occurs in Characterization Problems"; paper and notes - co-written with R. G. Laha |
undated |
19 |
3 |
References, supplemental information for un-named paper |
undated |
19 |
4 |
Notebook: statistics problems |
undated |
20 |
13 |
Notebook: mathematical notes |
undated |
21 |
2-3 |
Bound notebooks - notes on research articles by other authors |
undated |
Series 4 | Research papers, journal articles, and other writings | 1930-1983, undated |
extent: | 4.2 linear feet (10 document boxes) | |
description: | This series contains papers, journal articles and other works based on research and theory in statistics that were written by Lukacs. Many of these articles were published. Arranged chronologically. |
Box |
Folder |
Title |
Dates |
9 |
7 |
"Anwendung der Mehrdimensionalen Darstellenden" |
1930 |
9 |
8 |
"Ebenen und Bewegungsgruppen in Riemannschen Raumen" - co-written with G. Bergmann |
1930 |
21 |
1 |
Publications - bound collection of Lukacs’ journal articles |
1930-1957 |
22 |
1 |
Publications - bound collection of Lukacs’ journal articles |
1930-1969 |
9 |
9 |
"Uberzwei Theoretische Fragen der Nomographie"—Zeitschrift Fur Angewandte... |
1932 |
9 |
10 |
"Uber Gewisse Funktionen der Kommutationswerte..." |
1936 |
9 |
11 |
"Su Alcune Notevoli Funzioni dei Simboli di Commutazione" |
1937 |
9 |
12 |
"Uber die Veranderung der Dividenden bei Reduktion des Zinsfusses" |
1937 |
9 |
13 |
"Uber Unsymmetrische Kapitalversicherungen, die sich als Linearkombination von einseitigen Uberlebenskapitalien Darstellen Lassen" |
1937 |
9 |
14 |
"Zur Theorie der Slekttafeln" |
1939 |
9 |
15 |
"Wahrscheinlichkeitstheoretischer Aufbau der Theorie des Mittleren Risikos"—Twelfth International Congress of Actuaries |
1940 |
9 |
16 |
"A Characterization of the Normal Distribution" |
1942 |
22 |
3 |
"Physics Laboratory Manual," parts 1-3, by Lukacs |
1943-1944 |
9 |
17 |
"Functions of a Statistical Variate with Given Means...," and related correspondence |
1946-1958 |
9 |
18-20 |
Book Reviews by E. Lukacs |
1947-1975, undated |
9 |
21 |
"A Necessary Condition for a Certain Class of Characteristic Functions" |
1949 |
9 |
22 |
Abstract of paper on the stochastic independence of symmetric linear and quadratic statistics |
1950 |
9 |
23 |
"Maximum Likelihood Estimate of Missile Position Derived from Hyperdop Data" |
1950 |
9 |
24 |
"Some Non-negative Trigonometric Polynomials Connected with a Problem in Probability" |
1950-1952 |
9 |
25 |
"The Stochastic Independence of Symmetric and Homogenous Linear and Quadratic Statistics" |
1950-1952 |
9 |
26 |
"Maximum Likelihood Estimates of Position Derived from Measurements Performed by Hyperbolic Instruments" |
1951 |
9 |
27 |
"Analytic Characteristic Functions" - co-written with O. Szasz |
1952 |
9 |
28 |
"An Essential Property of the Fourier Transforms of Distribution Functions" |
1952 |
9 |
29 |
National Bureau of Standards Report - "A Property of Strongly Continuous Processes" |
1952 |
9 |
30 |
National Bureau of Standards Report - "Some Properties of Strongly Continuous Stochastic Processes" |
1952 |
9 |
31 |
"On Analytic Characteristic Functions" - Pacific Journal of Mathematics |
1952 |
9 |
33 |
National Bureau of Standards Report - "An Illustration of Computational Methods for the Determination of the Parameters of a Certain Random Process" |
1953 |
9 |
34 |
National Bureau of Standards Report - "A Property of the Normal Distribution Related to a Theorem of S. Bernstein" co-written with Edgar P. King |
1953 |
9 |
35 |
National Bureau of Standards Report - "Certain Fourier Transforms of Distributions (II)" co-written with Otto Szasz |
1953 |
9 |
36 |
National Bureau of Standards Report - "Linear Statistics and the Normal Law" |
1953 |
9 |
37 |
National Bureau of Standards Report - "On Strongly Continuous Stochastic Processes" |
1953 |
9 |
38 |
National Bureau of Standards Report - "Tables of Inverses of Finite Segments of the Hilbert Matrix" co-written with I. Richard Savage |
1953 |
9 |
39 |
National Bureau of Standards Report - "Tables Useful in Estimating the Mean Value Function of a Fundamental Random Process" co-written with I. Richard Savage |
1953 |
9 |
32 |
"A Property of the Normal Distribution" |
1954 |
9 |
40 |
"Certain Fourier Transforms of Distributions" (I and II) |
1954 |
9 |
41 |
"Nonnegative Trigonometric Polynomials and Certain Rational Characteristic Functions" |
1954 |
9 |
42 |
"On Strongly Continuous Stochastic Processes" |
1954 |
9 |
43 |
"Tables of Inverses of Finite Segments of the Hilbert Matrix" |
1954 |
9 |
44 |
"Characterization of Populations by Properties of Suitable Statistics" from Proceedings of the Third Berkeley Symposium |
1954-1955 |
9 |
45 |
"On Certain Periodic Characteristic Functions" and correction |
1954-1957 |
9 |
46 |
"Remarks on Characteristic Functions" |
1954 circa |
9 |
47 |
"Applications of Faa Di Bruno’s Formula in Mathematical Statistics" |
1955 |
9 |
48 |
"A Characterization of the Gamma Distribution" |
1955 |
9 |
49 |
"Uber Auslosungsversicherungen" |
1956 |
9 |
50 |
"Les Problemes D’estimations Dans les Processus Stochastiques" |
1957 |
9 |
51 |
"On a Transformation of Characteristic Functions" |
1957 |
9 |
52 |
Remarks concerning characteristic functions |
1957 |
9 |
53 |
"Transactions of the Second Prague Conference..." |
1959 |
22 |
2 |
Publications - bound collection of Lukacs’ journal articles |
1959-1969 |
19 |
9 |
"On a Problem Connected with Quadratic Regression" - co-written with R. G. Laha |
1960 |
19 |
16 |
"On the Characterization of a Family of Populations which Includes Poisson Populations" |
1960-1961 |
10 |
1 |
Stochastic Convergence" - information for new edition |
1960-1963, undated |
10 |
2 |
"Characteristic Functions" - reviews and acknowledgements |
1960-1973, undated |
20 |
11 |
"Inequalities for Analytic Characteristic Functions" from Bulletin of the International Statistic Institute journal |
1961 |
10 |
3 |
"Some Combinatorial Problems Connected with Characterizations of the Normal Distribution" |
1962 |
10 |
4 |
"Transactions of the Third Prague Conference on Information Theory, Statistical Decision Functions, Random Processes" paper co-written with R. G. Laha |
1962 |
10 |
5 |
"Characterization Problems for Discrete Distributions" |
1963 |
19 |
12 |
"Applications of Characteristic Functions in Statistics" |
1963 |
19 |
17 |
"Characterization Problems for Discrete Distributions" |
1963 |
10 |
6 |
"A Linear Mapping of the Space of Distribution Functions onto a Set of Bounded Continuous Functions" |
1964 |
10 |
7 |
"Applications of Characteristic Functions" |
1964 |
10 |
8-9 |
"Applications of Characteristic Functions" co-written with R.G. Laha |
1964 |
10 |
10 |
"On a Linear Form Whose Distribution is Identical with That of a Monomial" co-written with R.G. Laha |
1965 |
10 |
11 |
"On Linear Forms and Stochastic Integrals" co-written with R.G. Laha |
1965 |
10 |
12 |
"Characterization of Distributions by the Identical Distribution of Linear Forms" |
1966 |
19 |
13 |
"On the Arithmetical Properties of Certain Entire Characteristic Functions" |
1966 |
18 |
6 |
Details for "Characteristic Functions II" |
1966-1967, undated |
10 |
13 |
"Transactions of the Fourth Prague Conference..." |
1967 |
19 |
14 |
"Analytical Methods in Probability Theory" |
1967 |
19 |
15 |
"Stable Distributions and their Characteristic Functions" |
1967 |
10 |
14 |
"Characteristic Functions" |
1967-1974, undated |
10 |
15 |
"On a Property of the Wiener Process" co-written with R.G. Laha |
1968 |
10 |
16 |
"Characteristic Functions II" manuscript, notes, and correspondence (1 of 3) |
1968, undated |
10 |
17 |
"Characteristic Functions II" manuscript, notes, and correspondence (2 of 3) |
1968, undated |
11 |
1 |
"Characteristic Functions II" Manuscript, notes, and correspondence (3 of 3) |
1968, undated |
11 |
2 |
"A Characterization of Stable Processes" |
1969 |
11 |
3 |
"Factorization of Generalized Poisson Distributions" co-written with R. Cuppens |
1969 |
11 |
4 |
"Non-negative Definite Solutions of Certain Differential and Functional Equations" |
1969 |
11 |
5 |
"Some Recent Developments in the Theory of Multivariate Characteristic Functions" |
1969 |
18 |
10 |
Papers (various) - revisions, annexations, related correspondence |
1969, undated |
11 |
6-7 |
"Characteristic Functions" |
1970 |
11 |
8 |
"Characterization Theorems for Certain Stochastic Processes" |
1970 |
11 |
9 |
"Inequalities and Functional Equations in Probability Theory" |
1970 |
11 |
10 |
"On the Domains of Definition of Analytic Characteristic Functions" - co-written with R. Cuppens; notes |
1970 |
11 |
11 |
Supplement to "Characteristic Functions" |
1970 |
18 |
12 |
Publications; Ph.D., lecture lists |
1970-1973 |
18 |
7 |
"Characteristic Functions" 2nd edition - notes, sources, supplemental material |
1970-1978, undated |
11 |
12 |
"Einfuhrung des Wahrscheinlichkeitsoperators durch Postulate" - co-written with Susanne Beer |
1971 |
11 |
13 |
"On the Robustness of the Distribution of a Quotient" - co-written with S. Beer |
1971 |
11 |
14 |
"A Survey of the Theory of Characteristic Functions" |
1972 |
11 |
15 |
"On Some Problems Connected with the Characterization of Distributions by Constant Regression" - co-written with R.G. Laha |
1972 |
11 |
16 |
"Probability and Mathematical Statistics: An Introduction" |
1972 |
11 |
17 |
"Remarks Concerning a Stability Theorem for a Characterization of the Gamma Distribution" - co-written with S. Beer |
1972 |
11 |
18 |
"Stability Theorems for Characterizations by Constant Regression" |
1972 |
11 |
19 |
"A Characterization of the Multivariate Geometric Distribution" |
1973 |
11 |
20 |
"A Characterization of the Multivariate Negative Binomial Distribution" - reprinted from Essays in Honour of Herald Bergstrom |
1973 |
12 |
1 |
"Characterizations of the Normal Distribution by Suitable Transformations" and notes - co-written with S. Beer |
1973 |
12 |
2 |
"A Stability Theorem for a Characterization of the Weiner Process" |
1974, undated |
12 |
3 |
"Non-Euclidean Geometry" |
1974, undated |
12 |
4 |
Untitled manuscript and notes |
1974, undated |
12 |
5 |
"Stability Theorems for a Characterization of the Poisson Distribution" - co-written with S. Beer |
1974-1975, undated |
12 |
6-7 |
"Stochastic Convergence" - paper, notes, index, and correspondence |
1974-1975, undated |
12 |
8 |
"On a Transformation of a Pair of Random Variables" |
1975 |
12 |
9 |
"Properties of Non-negative Definite Solutions of Certain Ordinary Differential Equations" |
1975 |
12 |
10 |
"Stochastic Convergence" |
1975 |
12 |
11 |
"A Functional Equation Which Occurs in a Characterization Problem" |
1975-1977, undated |
12 |
12 |
"A Characterization of a Bivariate Gamma Distribution" and related correspondence |
1976, undated |
12 |
13 |
"Uber die Stabilitat einer Charakterisierung der Normalverteilung" |
1976, undated |
12 |
14 |
"On Some Properties of Symmetric Stable Distributions" |
1977 |
12 |
15 |
"Stability Theorems for Characterizations by Independence and by Regression" |
1977 |
20 |
12 |
"Stability Theorems" - journal article |
1977 |
12 |
16 |
"Characterization of Multivariate Poisson Distribution" - notes, co-written with S. Beer |
1977, undated |
13 |
1 |
"Stability Theorems for Characterizations of the Normal and of the Degenerate Distributions" |
1977, undated |
13 |
2 |
"Statistique Mathematique" |
1978 |
13 |
3 |
"A Characterization of the Rectangular Distribution" |
1978-1979 |
13 |
4 |
"Why Are We Using Characteristic Functions" |
1979 |
13 |
5 |
Paper and correspondence |
1979, undated |
13 |
6 |
"Some Multi-Variate Characterization Theorems" |
1979, undated |
13 |
7 |
Encyclopedia of Statistical Sciences |
1979-1980, undated |
13 |
9-10 |
Oberwolfach |
1979-1980, undated |
13 |
11 |
Yamazoto’s Theorem |
1979-1980, undated |
13 |
8 |
"Inequalities for Fourier-Stieltjes Tranformations of Functions of Bounded Variation" |
1980 |
13 |
12 |
Construction of Characterization Theorems" |
1980 |
13 |
13 |
Papers and related correspondence |
1980, undated |
13 |
14 |
"Analytic Distribution Functions" |
1980-1981, undated |
13 |
15 |
"Analytic Distribution Functions" and notes |
1981 |
13 |
16 |
"On a Modification of the Mellin-Stieltjes Transform" |
1981 |
13 |
17 |
Faa di Bruno’s Formula |
1981-1983, undated |
13 |
18 |
"On Some Recent Advances in the Theory of Univariate Characteristic Functions and on the Developments Which Led to Them" |
1982 |
14 |
18 |
"On the Stability of a Characterization of the Rectangular Distribution" and Related Correspondence |
1982, undated |
13 |
19 |
Encyclopedia of Statistical Sciences |
1983, undated |
8 |
5-6 |
Applications of Characteristic Functions with index |
undated |
8 |
7 |
Applications of Characteristic Functions: preface, appendix, references, and index |
undated |
8 |
8 |
Applications of Characteristic Functions: Introduction |
undated |
8 |
9 |
Applications of Characteristic Functions: Extension of the Concept of Stable Distribution |
undated |
8 |
10 |
Applications of Characteristic Functions: Factorization and Infinite Divisibility |
undated |
8 |
11 |
Applications of Characteristic Functions: The Infinitely Divisible Distributions |
undated |
8 |
12 |
Applications of Characteristic Functions: A Generalization of the Decomposition Problem |
undated |
9 |
1 |
Applications of Characteristic Functions: "Boundary Characteristic Functions" |
undated |
9 |
2 |
Applications of Characteristic Functions: "Mixtures of Distribution Functions" |
undated |
9 |
3 |
Applications of Characteristic Functions: "Analytic Distribution Functions" |
undated |
9 |
4 |
Applications of Characteristic Functions: "Metrics in the Space of Distribution Functions" |
undated |
9 |
5 |
Applications of Characteristic Functions: "Ridge Functions" |
undated |
9 |
6 |
Applications of Characteristic Functions: "Functions of Bounded Variation" |
undated |
13 |
20-21 |
Analytic Characteristic Functions |
undated |
13 |
22 |
"An Illustration of a Stochastic Curve Fitting Method" |
undated |
13 |
23 |
"A Property of the Normal Distribution Related to a Theorem of S. Bernstein (Preliminary Report)" |
undated |
13 |
24 |
Bibliography: "Characteristic Functions III" |
undated |
13 |
25 |
Bibliography: "Characteristic Functions III" (master copy) |
undated |
14 |
1 |
"Calcul des Probabilites..." |
undated |
14 |
2 |
"Die Norwegische Messung der Sterblichkeit unter Versicherten Personen" |
undated |
14 |
3 |
"Distribution of ‘Students’ Ratio for Correlated Observations" |
undated |
14 |
4 |
Faa Bruno’s formula |
undated |
14 |
5 |
First draft of manuscript |
undated |
14 |
6 |
List of publications |
undated |
14 |
7 |
Manuscript and index |
undated |
14 |
8 |
Mathematical Jjurnal listings |
undated |
14 |
9 |
Mathematical reviews |
undated |
14 |
10 |
"Metrics in the Space of Distribution Functions" |
undated |
14 |
11 |
Notebook and paper |
undated |
14 |
12 |
"On a Classification of the Multivariate Normal Distribution" by R.G. Laha, and review by Eugene Lukacs |
undated |
14 |
13 |
"On a Problem in the Arithmetic of Distribution Functions" - co-written with R.G. Laha |
undated |
14 |
14 |
"On a Distribution-free Partition Statistics for the Normal Family" |
undated |
14 |
15 |
"On Some Properties of Symmetric Stable Distributions" |
undated |
14 |
16 |
"On Strongly Continuous Stochastic Processes" |
undated |
14 |
17 |
"On the Mathematical Theory of Risk" |
undated |
14 |
19 |
"Ordinary and Stochastic Convergence" |
undated |
14 |
20 |
Preface to Third Edition |
undated |
14 |
21 |
"Some Theorems on the Decomposition of Probability Laws" |
undated |
14 |
22 |
"Stochastic Convergence II" |
undated |
14 |
23 |
Typescript of "Recent Developments in the Theory of Characteristic Functions" (1 of 2) |
undated |
15 |
1 |
Typescript of "Recent Developments in the Theory of Characteristic Functions" (2 of 2) |
undated |
15 |
2 |
"Uber eine Beziehung Zwischen Unsymmetrischen Kapitalsversicherungen und Uberlebensrenten" and notes |
undated |
15 |
3 |
"What is Probability?" |
undated |
15 |
4 |
Zentralblatt fur Mathematik: review and bibliography |
undated |
18 |
8-9 |
"Characteristic Functions II" - typed |
undated |
19 |
1-2 |
"Multivariate Normal Distribution" |
undated |
19 |
5-6 |
"Characteristic Functions II" sources and notes |
undated |
20 |
10 |
"Characterization of a Bivariate Gamma Distribution" |
undated |
Series 5 | Papers by other authors | 1899-1986, undated |
extent: | 1.26 linear feet (3 document boxes) | |
description: | This series contains papers written by other authors, with notes, comments, and corrections by Eugene Lukacs. It also contains reviews of Lukacs' papers. |
Box |
Folder |
Title |
Dates |
15 |
5 |
Frege, G. "Ueber die Zahlen des Herrn H. Schubert" |
1899 |
15 |
6 |
"Fonctions de Variables Reelles" by Marchaud; related notes |
1927, undated |
17 |
9 |
German and other mathematicians |
1928-1986, undated |
15 |
7 |
"Volkshochschule Wien Volksheim" |
1931-1938 |
15 |
8 |
Vajda, Stefan: "The Alteration of Policy Values with Changing Rates of Interest" |
1942 |
15 |
9 |
National Bureau of Standards Report: "The Stability Problem for a Theorem of Cramer" by N.A. Sapogov |
1953 |
15 |
10 |
Zolotarev papers and correspondence |
1961-1972, undated |
15 |
11 |
Papers and related notes |
1963-1976, undated |
15 |
12 |
"An Implication of Stochastic Convergence" by M.V. Menon and correspondence |
1964, undated |
15 |
13 |
Applications of Characteristic Functions book reviews |
1964-1966, undated |
15 |
14 |
"Generalization of a Theorem of Marcinkiewicz" by H.D. Miller |
1965 |
15 |
15 |
Paper and correspondence |
1965-1968, undated |
16 |
1 |
Papers and related correspondence |
1965-1968, undated |
16 |
2 |
"Un Theoreme de Linnik" by J.P. Igot |
1967 |
16 |
3 |
"On Entire Functions Satisfying Some Special Inequalities..." by Ostrovskii, and related correspondence |
1967, undated |
16 |
4 |
"Stochastic Convergence" reviews and acknowledgement |
1968-1972, undated |
16 |
5 |
"A Generalized Unimodality" and related notes |
1970 |
16 |
6 |
"Characteristic Functions II" - reviews and correspondence |
1970-1973, undated |
16 |
7 |
Professor Kampe de Feriet manuscript |
1972 |
16 |
8 |
Probability and Statistics - book reviews and related correspondence |
1972-1974, undated |
16 |
9 |
"Characterizations of Probabilty Laws Through Constant Regression" by Lennart Bondesson |
1974 |
16 |
10 |
"Sitzung der Mathematisch-naturwissenschaftlichen Klasse" |
1974 |
16 |
11 |
"A Characterization of the Exponential Distribution by Multivariate Geometric Compounding" by Barry C. Arnold |
1975 |
16 |
12 |
"A First Course in Probability Theory and Statistical Modeling" by Ord and Patil; and related correspondence |
1977 |
16 |
13 |
Paper and related correspondence |
1977 |
16 |
14 |
"General Problems of Mathematical Models" and "On Stochastic Continuity of Queueing Systems of Type G/G/1" by Zolotarev, and related correspondence |
1977-1978, undated |
16 |
15 |
Riedel papers and correspondence |
1977-1978 |
16 |
16 |
Eiler, Rudolf: Momente Nichtganzzahliger Ordnung |
1978 |
17 |
1 |
Georg Berthold paper and correspondence |
1978, undated |
17 |
2 |
"Remarks on the Theory of Characteristic Functions of Non-negative Random Variables" by Gabriele Laue; related correspondence |
1980 |
17 |
3 |
Papers and correspondence |
1980, undated |
20 |
14 |
"Analytical Methods in Probability Theory" - book edited by Lukacs |
1981 |
17 |
4 |
"Characterization of a Type of Multivariate Exponential Distributions" by I. Ban and related correspondence |
1981, undated |
17 |
5 |
Paper and related notes and correspondence |
1982-1984, undated |
17 |
6 |
"On the Behavior of Characteristic Functions on the Real Lines," by Stephen James Wolfe - comments |
undated |
17 |
8 |
I.N. Volodin and K.I. Satyabaldina papers and notes |
undated |