Sentence examples for be a stochastic basis from inspiring English sources

Let ( Ω, F, { F t } t ≥ 0, P ) be a stochastic basis satisfying the usual conditions, i.e., a filtered probability space with a filtration.

Let ((Omega, mathcal {F}, {mathcal {F}}_{t},mathbb {P})) be a stochastic basis, where ({mathcal {F}}_{t}) is the usual filtration of a standard d-dimensional Brownian motion W. Denote by ({mathbb {E}}_{t}[ cdot ] := mathbb {E}[ cdot | {mathcal {F}}_{t} ]) the conditional expectation at time t.

Let be a given stochastic basis; that is, is a complete probability space and is an increasing sub- -algebras of such that contains every -null subset of.

Let Open image in new window be a complete stochastic basis, where Open image in new window denotes the terminal forward measure, i.e., the martingale measure associated to the numeraire B ·,T N ).

A natural step in the study of the Libor-OIS spread was moving from a deterministic to a stochastic basis.

Mediator states generally influence cells on a stochastic basis with probability distributions that are affected by cell interactions.

In the model, epithelial cells initiate EMT on a stochastic basis, but epithelial cells in proximity to other cells undergoing EMT are more likely to undergo EMT themselves, a community effect (Gurdon, 1988).

This concept was then extended to a much larger model consisting of hundreds to thousands of agents forming contacts on a stochastic basis.

It is important to note that whilst the neutral theory of biodiversity is a stochastic theory and it assumes that species have the same rates of death and reproduction on a per capita basis [2], stochastic models do not necessarily negate species differences.

Because it includes a white-noise term to describe the random motion of the molecules, the KPZ equation is a stochastic PDE.

It is a stochastic parameter.