It excludes, e.g.,
stochastic systems which are truly random (e.g. as in quantum mechanics).
Not exact matches
Stochastic clearings are not a problem for the banking
system as a whole, because banks with unexpectedly large adverse clearings (
which leave them with smaller reserves than desired) can sell assets to or borrow from banks that experience positive clearings and reserves greater than desired.
The researchers have discovered and proved
stochastic separation theorems
which provide tools for correction of the large intelligent data analytic
systems.
Professor Robert Sinclair illustrates one of his examples of a biological
system (the fruit fly eye)
which exhibits tendencies towards both deterministic and
stochastic development, where the number of cells is uniform, but the way in
which they determine
which type of light they are sensitive to appears to be random.
And it is true that
systems which are sufficiently non-trivial to require a concerted modeling effort generally have
stochastic characteristics.
The weather is what is particular, whereas the climate itself is a statistical description of what particulars we can expect to find as the result of the
stochastic process by
which a climate
system evolves.
In fact, it's my experience modeling
stochastic processes and noise (
which are inherently chaotic
systems that can not be directly modeled except as probability functions) that informs this next statement: climate models can, and do, model cloud formation.
Of course there are no mysterious «
stochastic» perturbations
which make go away the fundamental features of behaviour of chaotic
systems — Navier Stokes is deterministic and chaotic all the way down to the quantum scales.
Lorenz type chaos is a phenomenon that is true only for simple
systems of few dominating variables,
which follow their dynamical equations with high precision without significant
stochastic disruptions.