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Pronunciation varies by accent · noun
(mathematics) A stochastic process for which the conditional expectation of future values given the sequence of all prior values is bounded above by the current value..
If a gambler repeatedly plays a game with negative expectation, his payoff over time is a supermartingale.
With these assumptions, something amazing occurs: Euler inequality (1.3.3) implies that the marginal utility of consumption is a nonnegative supermartingale. [emphasis in original]
Use supermartingale when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Supermartingale means (mathematics) A stochastic process for which the conditional expectation of future values given the sequence of all prior values is bounded above by the current value..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
If a gambler repeatedly plays a game with negative expectation, his payoff over time is a supermartingale.
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