Jack Kiefer (mathematician)
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Jack Carl Kiefer (January 25, 1924 – August 10, 1981) was an American mathematical
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 ...
at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to ...
(1952 to 1979) and the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
(1979 to 1981). His research interests included the optimal design of experiments, which was his major research area, as well as a wide variety of topics in mathematical statistics.


Biography

Jack Kiefer was born in
Cincinnati, Ohio Cincinnati ( ) is a city in the U.S. state of Ohio and the county seat of Hamilton County. Settled in 1788, the city is located at the northern side of the confluence of the Licking and Ohio rivers, the latter of which marks the state lin ...
, to Carl Jack Kiefer and Marguerite K. Rosenau. He began his undergraduate studies at the
Massachusetts Institute of Technology The Massachusetts Institute of Technology (MIT) is a Private university, private Land-grant university, land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern t ...
in 1942, but left after one year, taking up a position as
first lieutenant First lieutenant is a commissioned officer military rank in many armed forces; in some forces, it is an appointment. The rank of lieutenant has different meanings in different military formations, but in most forces it is sub-divided into a ...
in the
United States Air Force The United States Air Force (USAF) is the air service branch of the United States Armed Forces, and is one of the eight uniformed services of the United States. Originally created on 1 August 1907, as a part of the United States Army S ...
during
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
. In 1946, he returned to MIT, graduating with bachelor's and master's degrees in
economics Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analy ...
and
engineering Engineering is the use of scientific method, scientific principles to design and build machines, structures, and other items, including bridges, tunnels, roads, vehicles, and buildings. The discipline of engineering encompasses a broad rang ...
in 1948 under the supervision of Harold Freeman. He then began graduate studies at
Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manha ...
, under the supervision of
Abraham Wald Abraham Wald (; hu, Wald Ábrahám, yi, אברהם וואַלד;  – ) was a Jewish Hungarian mathematician who contributed to decision theory, geometry, and econometrics and founded the field of statistical sequential analysis. One o ...
and Jacob Wolfowitz, receiving his Ph.D. in
mathematical statistics Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical ...
in 1952. While still a graduate student, he began teaching at
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to ...
, remaining there until 1979, when he retired from Cornell and accepted a new position as Miller Research Professor in the Department of Statistics and Mathematics at the
University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...
. In 1957, he married Dooley Sciple, a former undergraduate student of his at Cornell, with whom he had two children. Kiefer died of a heart attack in
Berkeley, California Berkeley ( ) is a city on the eastern shore of San Francisco Bay in northern Alameda County, California, United States. It is named after the 18th-century Irish bishop and philosopher George Berkeley. It borders the cities of Oakland and Emer ...
on August 10, 1981.; .


Awards and honors

Kiefer was a
Fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...
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 ...
and of the Institute of Mathematical Statistics, a member of the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) 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, ...
(elected 1972) and of the
United States National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the Nat ...
(elected 1975). From 1969–1970 he was president 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 ...
. In 1973, Kiefer and
Michael Fisher Michael Ellis Fisher (3 September 1931 – 26 November 2021) was an English physicist, as well as chemist and mathematician, known for his many seminal contributions to statistical physics, including but not restricted to the theory of phase t ...
were the first two Cornell faculty elected as
Horace White Horace White (October 7, 1865 – November 27, 1943) was an American lawyer and politician from New York. He was the 37th Governor of New York from October 6, 1910 to December 31, 1910. Life He attended Syracuse Central High School, Cornell Un ...
Professors.


Contributions

Much of Kiefer's research was on the
design of experiments The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associ ...
; the ''American Statistician'' obituary calls him "undoubtedly the foremost worker in
optimal experimental design In the design of experiments, optimal designs (or optimum designs) are a class of experimental designs that are optimal with respect to some statistical criterion. The creation of this field of statistics has been credited to Danish statistic ...
". However, he also made significant contributions to other areas of statistics and optimization, including the introduction of
golden section search The golden-section search is a technique for finding an extremum (minimum or maximum) of a function inside a specified interval. For a strictly unimodal function with an extremum inside the interval, it will find that extremum, while for an inte ...
(his master's thesis work) the
Dvoretzky–Kiefer–Wolfowitz inequality In the theory of probability Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an ...
and the Bahadur-Ghosh-Kiefer representation (with
R. R. Bahadur Raghu Raj Bahadur (30 April 1924 – 7 June 1997) was an Indian statistician considered by peers to be "one of the architects of the modern theory of mathematical statistics". Biography Bahadur was born in Delhi, India, and received his BA ...
and
J. K. Ghosh Jayanta Kumar Ghosh (Bengali: জয়ন্ত কুমার ঘোষ, 23 May 1937 – 30 September 2017) was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue Universit ...
).


See also

* Kiefer–Wolfowitz algorithm * Hoeffding's independence test *
Strong subadditivity of quantum entropy In quantum information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems of a larger quantum system consisting of three subsystems (or of one quantum system with thre ...
* Information-based complexity


Notes


References

*. *. Reviewed in ''Biometrics'' 43 (1): 257. *. * *. *. *. {{DEFAULTSORT:Kiefer, Jack Carl Presidents of the Institute of Mathematical Statistics Fellows of the American Statistical Association Fellows of the Institute of Mathematical Statistics American statisticians Cornell University faculty University of California, Berkeley College of Letters and Science faculty Columbia University alumni Massachusetts Institute of Technology alumni 1924 births 1981 deaths Members of the United States National Academy of Sciences 20th-century American mathematicians Mathematical statisticians Deaths from heart disease