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Martingale (probability theory)

In probability theory, a martingale is a stochastic process in which the expected value of the next observation, given all prior observations, is equal to the most recent value. In other words, the conditional expectation of the next value, given the past, is equal to the present value. Martingales are used to model fair games, where future expected…

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Examples of martingales

Submartingales, supermartingales, and relationship to harmonic functions

Martingales and stopping times

Martingale convergence

Martingale problem

Applications in Mathematical Finance

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Martingale (probability theory)

Nodes80
Edges79
Triples2
Avg. degree1.98
Density0.025
Components1

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martingale displaystyle time process probability sequence equal random gambler martingales theory given dots function conditional stochastic measure fortune mathcal expectation

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x iinstance ofto simple functions0.80text
the Blackinstance ofModels0.80text

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