Mathematics – Probability
Scientific paper
2009-09-24
Annals of Probability 2009, Vol. 37, No. 5, 1664-1670
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/09-AOP480 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Scientific paper
10.1214/09-AOP480
Doob's essential contributions to Probability theory are discussed; this
includes the main early results on martingale theory, Doob's $h$-transform, as
well as a summary of Doob's three books. Finally, Doob's `stochastic triangle'
is viewed in the light of the stochastic analysis of the eighties.
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