Sentence examples for more complex stochastic from inspiring English sources

More complex stochastic processes22 could also be utilized, as long as sufficient instruments exist to span the set of outcomes so that Arrow-Debreu prices can be calculated.

b By replacing in Equation (4) the scalar quantity 1/τ u by a matrix homogeneous to a frequency, one could derive more complex stochastic models still compatible with the −4 slope for the PSD of observatory series.

However, mathematical analysis is not possible for more complex stochastic models, i.e. the complex stochastic models are analytically intractable.

In order to exclude more complex stochastic processes, we compared the correlation dimension for each dataset with the values obtained from surrogate data.

One may argue that the assumption of a constant spike rate is arbitrary, overly simplistic and that more complex stochastic processes are likely to be at work, even in flies.

It could potentially be improved by developing a more complex stochastic model that used log-normal or gamma-distributed sojourn times (rather than the exponential distributions used here).

As a model for a more complex composite stochastic process we used a branching Poisson process (BPP) [36], [37].

However, there are yet more complex composite stochastic models which, like the fly data, can exhibit a fractal structure [15], [48].

In sum, the simulation results suggest strongly that our relatively tractable deterministic approach focused on the dynamics of mean fitness produces qualitative conclusions about population survival emerging from evolutionary rescue consistent with the far more analytically complex stochastic realities of extinction and evolution.

Based on the works [53, 54], we consider the qualitative analysis of the high-dimensional impulsive stochastic multi-species population model, which leads to a more complex and difficult stochastic analysis.

Other investigators have explored more complex procedures involving stochastic dependence [ 33], while deeper explorations of random-set methods [ 34] may be valuable, but still essentially rely on independence assumptions.