submartingale

English

Etymology

sub- +‎ martingale

Noun

submartingale (plural submartingales)

1. (mathematics) A stochastic process for which the conditional expectation of future values given the sequence of all prior values is superior or equal to its current value.

   If a gambler repeatedly plays a game with positive expectation, his payoff over time is a submartingale.

Usage notes

• A submartingale is a martingale if and only if it is a submartingale and also a supermartingale.