Joseph Leo Doob

Summary

Joseph Leo Doob is a human^[1]. He was born in Cincinnati^[2]. He was born on +1910-02-27T00:00:00Z^[3]. He passed away in Urbana^[4]. He died on +2004-06-07T00:00:00Z^[5]. He worked as a mathematician^[6], university teacher^[7], and statistician^[8]. He ranks in the top 0.72% of human entities by monthly Wikipedia readership (52 views/month, #7,249 of 1,000,298).^[9]

Key Facts

• Joseph Leo Doob's place of birth was Cincinnati^[2].
• Joseph Leo Doob died in Urbana^[4].
• Joseph Leo Doob was born on +1910-02-27T00:00:00Z^[3].
• Joseph Leo Doob died on +2004-06-07T00:00:00Z^[5].
• Among Joseph Leo Doob's spouses was Elsie Field^[10].
• Joseph Leo Doob held citizenship in United States^[11].
• Joseph Leo Doob worked as a mathematician^[6].
• Joseph Leo Doob's professions included university teacher^[7].
• Joseph Leo Doob worked as a statistician^[8].
• Joseph Leo Doob's field of work was probability theory^[12].
• Joseph Leo Doob's field of work was stochastic process^[13].
• Joseph Leo Doob's field of work was mathematics^[14].
• Joseph Leo Doob's field of work was mathematical analysis^[15].
• Joseph Leo Doob's field of work was potential theory^[16].
• Joseph Leo Doob held the position of chairperson^[17].
• Joseph Leo Doob held the position of chairperson^[18].
• Joseph Leo Doob was employed by University of Illinois Urbana–Champaign^[19].
• Joseph Leo Doob was employed by Columbia University^[20].
• Joseph Leo Doob's education included a stint at Harvard University^[21].
• Joseph Leo Doob was educated at Ethical Culture Fieldston School^[22].
• Joseph Leo Doob's doctoral advisor was Joseph Leonard Walsh^[23].
• A notable work attributed to Joseph Leo Doob is Doob decomposition theorem^[24].
• A notable work attributed to Joseph Leo Doob is optional stopping theorem^[25].
• A notable work attributed to Joseph Leo Doob is Doob–Meyer decomposition theorem^[26].
• A notable work attributed to Joseph Leo Doob is Doob's martingale convergence theorems^[27].

Body

Origins and Family

Joseph Leo Doob was born in Cincinnati^[2]. He was born on +1910-02-27T00:00:00Z^[3].

Education

Educated at Harvard University^[21], a private university^[28], in United States^[29], founded in 1636^[30], headquartered in Cambridge^[31] and Ethical Culture Fieldston School^[22], a university-preparatory school^[32], in United States^[33], founded in 1878^[34], headquartered in New York City^[35]. Joseph Leo Doob's doctoral advisor was Joseph Leonard Walsh^[23].

Career and Affiliations

Recorded occupations include mathematician^[6], university teacher^[7], and statistician^[8]. Fields of work include probability theory^[12], a branch of mathematics^[36]; stochastic process^[13], a mathematical concept^[37]; mathematics^[14], an academic discipline^[38]; mathematical analysis^[15], an academic discipline^[39]; and potential theory^[16], a branch of mathematics^[40]. Employers include University of Illinois Urbana–Champaign^[19], a public research university^[41], in United States^[42], founded in 1867^[43] and Columbia University^[20], a private university^[44], in United States^[45], founded in 1754^[46], headquartered in Manhattan^[47]. Positions held include chairperson^[17], a type of position^[48]. Doctoral students include Paul Halmos^[49], a mathematician^[50], 1916–2006^[51], of Hungary^[52], awarded the Guggenheim Fellowship^[53], specialised in algebra^[54]; David Blackwell^[55], a mathematician^[56], 1919–2010^[57], of United States^[58], awarded the John von Neumann Theory Prize^[59], specialised in probability theory^[60]; Warren Ambrose^[61], a mathematician^[62], 1914–1995^[63], of United States^[64], awarded the Guggenheim Fellowship^[65]; John Rankin Kinney^[66]; J. Laurie Snell^[67]; and Yuan-Shih Chow^[68].

Works and Contributions

Notable works include Doob decomposition theorem^[24], optional stopping theorem^[25], Doob–Meyer decomposition theorem^[26], Doob's martingale convergence theorems^[27], Doob–Dynkin lemma^[69], and Doob martingale^[70]. Things named for Joseph Leo Doob include optional stopping theorem^[71], a theorem^[72]; Doob martingale^[73], a theorem^[74]; and Joseph Doob Prize^[75].

Recognition

Awards received include National Medal of Science^[76], a science award^[77], in United States^[78], founded in 1963^[79]; Leroy P. Steele Prize^[80], a group of awards^[81], in United States^[82], founded in 1970^[83]; and Fellow of the Institute of Mathematical Statistics^[84].

Personal Life

Among Joseph Leo Doob's spouses was Elsie Field^[10].

Death and Burial

Joseph Leo Doob died on +2004-06-07T00:00:00Z^[5]. He died in Urbana^[4].

Why It Matters

Joseph Leo Doob ranks in the top 0.72% of human entities by monthly Wikipedia readership (52 views/month, #7,249 of 1,000,298).^[9] He has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.^[85] He is known by 23 alternative names across languages and contexts.^[86]

He is credited with the discovery of Doob martingale^[87], a theorem^[88]. Entities named for him include optional stopping theorem^[71], a theorem^[72]; Doob martingale^[73], a theorem^[74]; and Joseph Doob Prize^[75].

His notable doctoral advisees include David Blackwell^[89], a mathematician^[90], 1919–2010^[91], of United States^[92], awarded the John von Neumann Theory Prize^[93], specialised in probability theory^[94]; Paul Halmos^[95], a mathematician^[96], 1916–2006^[97], of Hungary^[98], awarded the Guggenheim Fellowship^[99], specialised in algebra^[100]; Warren Ambrose^[101], a mathematician^[102], 1914–1995^[103], of United States^[104], awarded the Guggenheim Fellowship^[105]; and J. Laurie Snell^[106], a mathematician^[107], 1925–2011^[108], of United States^[109], awarded the Fellow of the American Statistical Association^[110], specialised in mathematics^[111].

FAQs

Where was Joseph Leo Doob born?

Joseph Leo Doob's place of birth was Cincinnati^[2].

Where did Joseph Leo Doob die?

Joseph Leo Doob passed away in Urbana^[4].

Who was Joseph Leo Doob married to?

Joseph Leo Doob's spouses include Elsie Field^[10].

What did Joseph Leo Doob do for work?

Joseph Leo Doob worked as mathematician^[6], university teacher^[7], and statistician^[8].

Where did Joseph Leo Doob go to school?

Joseph Leo Doob was educated at Harvard University^[21] and Ethical Culture Fieldston School^[22].

What awards did Joseph Leo Doob receive?

Honors received include National Medal of Science^[76], Leroy P. Steele Prize^[80], and Fellow of the Institute of Mathematical Statistics^[84].

What did Joseph Leo Doob discover?

Joseph Leo Doob is credited as discoverer of Doob martingale^[87].