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Note that π(s) can be a stochastic function.
They are used to identify a stochastic function and a set of random numbers.
Each force and moment consists of a constant part and a time-dependent stochastic function.
Given the stochastic function, the random numbers yield a realization that is close to the existing reservoir model.
In the stochastic time-dependent variant, the travel time between two locations is a stochastic function that depends on the departure time at the first location.
The first part explains the mean behavior of the function we interpolate and the second part is a stochastic function with known mean and variance.
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Fluctuation components of material properties are considered as continuous stochastic functions of the length coordinate.
Granularity deals with the 'lumpiness' (cf. sugar lumps versus table sugar) of outputs and the use of stochastic functions.
The price simulation can be derived from Eqs. (1)–(2) if Ito's lemma is applied to these stochastic functions.
Despite its statistical properties, kriging has not been developed to approximate stochastic functions or to describe the dynamics of systems with multiple outputs.
The resulting model is able to simulate forest growth by considering vertical spatial variability without stochastic functions, considerably reducing computational demand.
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