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 7
Joseph Leo Doob 1

How this entity was disambiguated

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 Leo Doob ⓘ
linked to: Joseph L. 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 theorem ⓘ
Measure Theory ⓘ
linked to: 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 ⓘ

How these facts were elicited

Referenced by (8)

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 Leo Doob ⓘ
linked to: Joseph L. Doob
Paul Lévy → influenced → Joseph L. Doob ⓘ
Paul Halmos → doctoralAdvisor → Joseph L. Doob ⓘ
Doob Prize → namedAfter → Joseph L. Doob ⓘ
David Blackwell → doctoralAdvisor → Joseph L. Doob ⓘ