Jacob Wolfowitz
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.
Jacob Wolfowitz | |
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Wolfowitz in 1970 (photo courtesy of MFO) | |
Born | |
Died | July 16, 1981 71) | (aged
Nationality | American |
Alma mater | New York University |
Known for | Wald–Wolfowitz runs test Dvoretzky–Kiefer–Wolfowitz inequality |
Spouse(s) | Lillian Dundes |
Children | Paul Wolfowitz |
Scientific career | |
Fields | Statistics |
Institutions | University of South Florida Cornell University Columbia University University of Illinois at Urbana–Champaign |
Doctoral advisor | Donald Flanders |
Doctoral students | Albert H. Bowker Jack Kiefer Gottfried E. Noether |
Life and career
Wolfowitz was born in 1910 in Warsaw, Poland, the son of Helen (Pearlman) and Samuel Wolfowitz.[1] 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 at 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.
References
- Biographical Memoirs. 2003-05-07. ISBN 9780309086981.
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.