Tossup

This non-divergence operation acts as a creation operator on the Wiener chaos decomposition. A form of this operation denoted delta is used to define the Ornstein–Uhlenbeck operator and is named for Anatoliy Skorokhod. Doob’s theorem (-5[1])gives a decomposition (-5[1])for adapted processes for which this operation can be performed uniformly. A form of this operation first defined for simple random processes that yields Brownian motion when applied to Gaussian white noise is named for (10[2]-5[1])Kiyosi Itô (10[2]-5[1])(“EE-toe”). Some forms of this (10[1])operation (10[3])satisfy (-5[1])the dominated convergence (10[3])theorem. (10[1])Since this operation can’t be performed on Gaussian functions, the error function is used to find (10[1])probabilities (10[2])in the normal distribution. For 10 points, (10[1])applying what operation to the probability (10[1])density (10[2])gives cumulative density (10[1])because it finds the area under a curve? (10[1])■END■ (10[3])

ANSWER: integration [accept definite integration or stochastic integration or Lebesgue integration or Itô integration or Skorokhod integration or Ogawa integration; accept integrals in the place of integration]
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