Jacob Wolfowitz

Jacob Wolfowitz
Wolfowitz in 1970 (photo courtesy of MFO)
Born	(1910-03-19)March 19, 1910 Warsaw, Congress Poland, Russian Empire
Died	July 16, 1981(1981-07-16) (aged 71) Tampa, Florida, United States
Nationality	American
Education	City University of New York New York University
Known for	Wald–Wolfowitz runs test Dvoretzky–Kiefer–Wolfowitz inequality
Spouse	Lillian Dundes
Children	Paul Wolfowitz
Scientific career
Fields	Statistics
Institutions	Cornell University Columbia University University of Illinois Urbana-Champaign University of South Florida
Doctoral advisor	Donald Flanders
Doctoral students	Albert H. Bowker Jack Kiefer Gottfried E. Noether Howard Levene Samuel Kotz

Jacob Wolfowitz (March 19, 1910 – July 16, 1981) was a Polish-born American Jewish 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.

Early life and education

Wolfowitz was born in 1910 in Warsaw, Poland, the son of Helen (Pearlman) and Samuel Wolfowitz. He emigrated with his parents to the United States in 1920. He received a bachelor of science in 1931 from the City College of New York.

Career

In the mid-1930s, Wolfowitz began his career as a 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 Urbana-Champaign. 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).

Further reading

• 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

• Jacob Wolfowitz at the Mathematics Genealogy Project.
• O'Connor, John J.; Robertson, Edmund F., "Jacob Wolfowitz", MacTutor History of Mathematics Archive, University of St Andrews
• Zacks, Shelemyahu. "Biographical Memories: Jacob Wolfowitz (March 19, 1910–July 16, 1981)". National Academy of Sciences, n.d. Accessed May 3, 2007.