Jacob Wolfowitz

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Jacob Wolfowitz
Jacob Wolfowitz.jpg
Wolfowitz in 1970 (photo courtesy of MFO)
Born(1910-03-19)March 19, 1910
DiedJuly 16, 1981(1981-07-16) (aged 71)
Alma materNew York University
Known forWald–Wolfowitz runs test
Dvoretzky–Kiefer–Wolfowitz inequality
Spouse(s)Lillian Dundes
ChildrenPaul Wolfowitz
Scientific career
InstitutionsUniversity of South Florida
Cornell University
Columbia University
University of Illinois at Urbana-Champaign
Doctoral advisorDonald Flanders
Doctoral studentsAlbert H. Bowker
Jack Kiefer
Gottfried E. Noether

Jacob Wolfowitz (March 19, 1910 – July 16, 1981) was a Polish-born American statistician and Shannon Award-winning information theorist. He was the father of former United States Deputy Secretary of Defense and World Bank Group President Paul Wolfowitz.

Life and career[edit]

Born in Warsaw, Poland in 1910, he emigrated with his parents to the United States in 1920. In the mid-1930s, Wolfowitz began his career as high school mathematics teacher and continued teaching until 1942 when he received his Ph.D. degree in mathematics from New York University. While a part-time graduate student, Wolfowitz met Abraham Wald, with whom he collaborated in numerous joint papers in the field of mathematical statistics. This collaboration continued until Wald's death in an airplane crash in 1950. In 1951, Wolfowitz became a professor of mathematics at Cornell University, where he stayed until 1970. From 1970 to 1978 he was at the University of Illinois, Champaign-Urbana. He died of a heart attack in Tampa, Florida, where he had become a professor at the University of South Florida after retiring from Illinois.

Wolfowitz's main contributions were in the fields of statistical decision theory, non-parametric statistics, sequential analysis, and information theory.

One of his results is the strong converse to Claude Shannon's coding theorem. While Shannon could prove only that the block error probability can not become arbitrarily small if the transmission rate is above the channel capacity, Wolfowitz proved that the block error rate actually converges to one. As a consequence, Shannon's original result is today termed "the weak theorem" (sometimes also Shannon's "conjecture" by some authors).


  • Kiefer, J., ed. Jacob Wolfowitz Selected Papers. New York: Springer-Verlag, 1980. ISBN 0-387-90463-8.
  • Wolfowitz, Jacob, Coding Theorems of Information Theory. New York: Springer-Verlag, 1978. ISBN 0-387-08548-3.

External links[edit]