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martingale (Definition)
Supermartingale

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"martingale" is owned by CWoo. [ full author list (5) | owner history (1) ]
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See Also: local martingale, Doob's optional sampling theorem, conditional expectation under change of measure, martingale convergence theorem

Also defines:  martingale, supermartingale, submartingale, reverse submartingale, reverse supermartingale
Keywords:  martingale, supermartingale, submartingale

Attachments:
gale (Definition) by skubeedooo
Doob's optional sampling theorem (Theorem) by skubeedooo
martingale convergence theorem (Theorem) by gel
Doob's inequalities (Theorem) by gel
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Cross-references: conditional expectation, definitions, equivalent, current, future value, property, collection, decreasing, stochastic process, filtered probability space
There are 32 references to this entry.

This is version 22 of martingale, born on 2003-04-05, modified 2008-12-27.
Object id is 4157, canonical name is Martingale.
Accessed 15685 times total.

Classification:
AMS MSC60G42 (Probability theory and stochastic processes :: Stochastic processes :: Martingales with discrete parameter)
 60G44 (Probability theory and stochastic processes :: Stochastic processes :: Martingales with continuous parameter)
 60G46 (Probability theory and stochastic processes :: Stochastic processes :: Martingales and classical analysis)

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martingale by gel on 2009-02-15 01:02:56
I just noticed the term "martingale" used in its original french meaning in an article about Jerome Kerviel, the trader who lost billions of euros. (http://business.timesonline.co.uk/tol/business/industry_sectors/banking_and_finance/article5716179.ece) It's a gambling strategy, apparently named after the "eccentric" inhabitants of Martigues, and the mathematical term comes from this.
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