Source-pinned research
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Pr_add_split_by_complement
Mathematical statement
Law of Total Probability (Partitioning an Event) The probability of an event f r occurring can be calculated by summing the probabilities of two disjoint cases: 1. f r occurs AND g r occurs. 2. f r occurs AND g r does NOT occur. Good to be used with Pr_multi_let_equiv_single_let
Source project: ArkLib
Person-level attribution pending.
Pr_le_Pr_of_implies
Mathematical statement
Monotonicity of Probability If event A (defined by predicate f) implies event B (defined by predicate g) for all outcomes r, then the probability of A is less than or equal to the probability of B.
Source project: ArkLib
Person-level attribution pending.
predictableConvexStep_leftContinuous
Mathematical statement
predictableConvexStep is left-continuous in time.
Source project: Brownian motion
Person-level attribution pending.
predictablePart_add
Mathematical statement
The predictable part is additive for integrable processes.
Source project: Brownian motion
Person-level attribution pending.
predictableSeqStep_apply
Mathematical statement
On the mesh cell Ioc (pred u) u containing t, the step process predictableSeqStep is constant, equal to the discrete predictable part at the cell's right endpoint u.
Source project: Brownian motion
Person-level attribution pending.
predictableSeqStep_leftContinuous
Mathematical statement
The mesh step-extension of the discrete predictable part is left-continuous in time.
Source project: Brownian motion
Person-level attribution pending.