# Jacob Wolfowitz

> American statistician (1910-1981)

**Wikidata**: [Q722273](https://www.wikidata.org/wiki/Q722273)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Jacob_Wolfowitz)  
**Source**: https://4ort.xyz/entity/jacob-wolfowitz

## Summary
Jacob Wolfowitz (1910–1981) was an American statistician and mathematician known for his contributions to probability theory, non-parametric statistics, and information theory. He is best remembered for developing the Wald–Wolfowitz runs test and the Dvoretzky–Kiefer–Wolfowitz inequality, which are foundational in statistical analysis.

## Biography
- Born: March 19, 1910, in Warsaw (then part of the Russian Empire)
- Nationality: United States
- Education:
  - Doctor of Philosophy (1942) from New York University
  - Bachelor’s degree (1931) from City University of New York
- Known for: Pioneering work in non-parametric statistics and probability theory
- Employer(s):
  - Cornell University (1951–1970)
  - University of Illinois Urbana–Champaign (1970–1978)
  - University of South Florida (1978–1981)
- Field(s): Statistics, probability theory, information theory

## Contributions
Jacob Wolfowitz made significant contributions to statistics, particularly in non-parametric methods and probability theory. His most notable work includes the **Wald–Wolfowitz runs test**, a statistical test used to assess randomness in binary sequences, and the **Dvoretzky–Kiefer–Wolfowitz inequality**, which provides bounds on the distribution of order statistics. These contributions were influential in fields such as econometrics, information theory, and quality control. Wolfowitz also worked on additive partition functions and statistical hypotheses, further advancing the field of statistics. His research was published in leading academic journals and influenced subsequent work in probability and statistics.

## FAQs
### Q: What was Jacob Wolfowitz’s most important contribution to statistics?
A: Wolfowitz is best known for the **Wald–Wolfowitz runs test**, a statistical method used to analyze randomness in data sequences, and the **Dvoretzky–Kiefer–Wolfowitz inequality**, which provides bounds on order statistics.

### Q: Where did Jacob Wolfowitz study and teach?
A: He earned his Ph.D. from New York University and taught at Cornell University, the University of Illinois Urbana–Champaign, and the University of South Florida.

### Q: Was Jacob Wolfowitz involved in any notable academic societies?
A: Yes, he was a member of the American Academy of Arts and Sciences, the National Academy of Sciences, and the Institute of Mathematical Statistics.

### Q: Did Jacob Wolfowitz have any notable students?
A: Yes, he mentored several influential statisticians, including Jack Kiefer, Lionel Weiss, and Samuel Kotz.

### Q: What awards did Jacob Wolfowitz receive?
A: He was a Guggenheim Fellow, a Fellow of the Econometric Society, and a Fellow of the American Statistical Association.

## Why They Matter
Jacob Wolfowitz’s work laid the groundwork for modern statistical methods, particularly in non-parametric statistics and probability theory. His **Wald–Wolfowitz runs test** remains a standard tool in data analysis, while the **Dvoretzky–Kiefer–Wolfowitz inequality** is widely used in econometrics and quality control. Wolfowitz’s research influenced generations of statisticians and continues to be referenced in academic and industry applications. His contributions to information theory and statistical hypotheses further cemented his legacy in the field.

## Notable For
- Developed the **Wald–Wolfowitz runs test**, a foundational statistical method.
- Co-authored the **Dvoretzky–Kiefer–Wolfowitz inequality**, a key result in probability theory.
- Fellow of the American Academy of Arts and Sciences and the National Academy of Sciences.
- Mentored influential statisticians, including Jack Kiefer and Samuel Kotz.
- Received the Guggenheim Fellowship and other prestigious awards.

## Body
### Early Life and Education
Jacob Wolfowitz was born on March 19, 1910, in Warsaw, then part of the Russian Empire. He later became a U.S. citizen and earned his bachelor’s degree from City University of New York in 1931. He pursued advanced studies at New York University, where he completed his Ph.D. in 1942 under the supervision of Donald Alexander Flanders.

### Career and Research
Wolfowitz’s career spanned academia and research institutions. He worked at Cornell University (1951–1970), the University of Illinois Urbana–Champaign (1970–1978), and the University of South Florida (1978–1981). His research focused on probability theory, non-parametric statistics, and information theory. He collaborated with leading statisticians, including Abraham Wald and Harold Hotelling.

### Key Contributions
Wolfowitz’s most significant contributions include:
- The **Wald–Wolfowitz runs test**, a statistical method used to assess randomness in binary sequences.
- The **Dvoretzky–Kiefer–Wolfowitz inequality**, which provides bounds on the distribution of order statistics.
- Research on additive partition functions and statistical hypotheses.

### Academic Legacy
Wolfowitz was a prolific mentor, advising students such as Jack Kiefer, Lionel Weiss, and Samuel Kotz. He was elected to prestigious academic societies, including the American Academy of Arts and Sciences and the National Academy of Sciences. His work continues to be cited in modern statistical research.

### Awards and Recognition
Wolfowitz received numerous honors, including the Guggenheim Fellowship, the Fellow of the Econometric Society, and the Fellow of the American Statistical Association. His contributions to statistics and probability theory have left a lasting impact on the field.

## References

1. Czech National Authority Database
2. Integrated Authority File
3. Mathematics Genealogy Project
4. MacTutor History of Mathematics archive
5. [Source](https://www.gf.org/fellows/all-fellows/jacob-wolfowitz/)
6. [Source](https://www.econometricsociety.org/society/organization-and-governance/fellows/memoriam)
7. Scientific Legacy Database
8. [Source](https://www.itsoc.org/profile/8975)
9. [Source](https://www.radiosefarad.com/la-reconocida-investigacion-en-estadistica-jacob-wolfowitz/)
10. International Standard Name Identifier
11. Virtual International Authority File
12. Solomon R. Guggenheim Museum
13. Freebase Data Dumps. 2013
14. [Source](https://www.jstor.org/stable/1403104)
15. [LIBRIS. 2004](https://libris.kb.se/katalogisering/dbqsvt6x2dsklt3)
16. National Library of Israel Names and Subjects Authority File
17. Catalogo of the National Library of India