Joseph L. Doob

E284682

Joseph L. Doob was an influential American mathematician and probabilist whose foundational work in martingale theory and stochastic processes helped shape modern probability theory.

All labels observed (2)

Label Occurrences
Joseph L. Doob canonical 5
Joseph Leo Doob 1

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Statements (49)

Predicate Object
instanceOf human
mathematician
probabilist
university professor
academicDegree PhD in mathematics
awardReceived Abraham Wald Prize in Sequential Analysis
Leroy P. Steele Prize
National Medal of Science
countryOfCitizenship United States of America
doctoralAdvisor Joseph L. Walsh
educatedAt Harvard University
Rice University
employer University of Illinois at Urbana–Champaign
familyName Doob
fieldOfWork martingale theory
measure theory
potential theory
probability theory
stochastic processes
fullName Joseph L. Doob self-linksurface differs
surface form: Joseph Leo Doob
givenName Joseph
influenced development of martingale methods in analysis
modern probability theory
theory of stochastic processes
knownFor Doob’s h-transform
Doob’s maximal inequalities
Doob’s optional stopping theorem
martingale theory
probabilistic potential theory
stochastic processes
languageOfWorkOrName English
memberOf American Academy of Arts and Sciences
American Mathematical Society
Institute of Mathematical Statistics
National Academy of Sciences
nationality American
notableStudent Donald Burkholder
Frank B. Knight
Glen Baxter
notableWork Doob–Meyer decomposition
surface form: Doob–Meyer decomposition theorem

measure theory
surface form: Measure Theory

Stochastic Processes
classical martingale convergence theorems
foundations of modern martingale theory
occupation mathematician
university teacher
positionHeld president of the American Mathematical Society
president of the Institute of Mathematical Statistics
sexOrGender male

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Referenced by (6)

Full triples — surface form annotated when it differs from this entity's canonical label.

Doob–Meyer decomposition namedAfter Joseph L. Doob
Joseph L. Doob fullName Joseph L. Doob self-linksurface differs
this entity surface form: Joseph Leo Doob
Paul Lévy influenced Joseph L. Doob
Paul Halmos doctoralAdvisor Joseph L. Doob
Doob Prize namedAfter Joseph L. Doob