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A subjective tour through foundations and modern trends

Published on Sep 01, 20161334 Views

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Chapter list

A subjective tour around foundations and modern trends00:00
motivation - 100:26
motivation - 201:20
A flash of history03:12
F.P. Ramsey (1903-1930)04:04
B. de Finetti (13 June 1906 - 1985)04:58
L.J. Savage (1917 – 1971) - 106:01
L.J. Savage (1917 – 1971) - 206:44
basics: Bernoulli trials and P´olya urn - 109:17
P´olya urn - 110:52
P´olya urn - 212:04
probability and frequency - 114:17
probability and frequency - 216:35
probability and frequency - 318:41
Predictive approach20:01
Processes with reinforcement22:26
random partitions24:23
rich developments25:30
and beyond the Dirichlet process27:38
Partial exchangeability29:26
reinforced processes & partial exchangeability - 131:07
reinforced processes & partial exchangeability - 234:35
interacting randomly reinforced processes37:41
Processes with random reinforcement - 139:47
Processes with random reinforcement - 240:46
c.i.d. sequences42:05
asymptotic behavior43:27
limit law44:24
extensions47:29
partially c.i.d. arrays48:02
Exchangeable random structures48:36
Exchangeability and graph limits50:18
Exchangeability and sparsity - 150:44
Exchangeability and sparsity - 251:37
final remarks53:21