Sentence examples for measures induced by from inspiring English sources

The logarithmic derivative is then explicitly evaluated for probability measures induced by the solutions to stochastic ordinary and partial differential equations.

We endow the Sobolev spaces with the probability measures induced by the positive definite kernels such that the kernel-based estimators can be solved to maximize the kernel-based probabilities conditioned on the observed data.

Let ({mathbb {P}}^{theta}) be the probability measures induced by (X^{theta}) on the canonical space and ({mathbb {P}}^{theta}_{t}) be the restriction probability measure of ({mathbb {P}}^{theta}) on σ-algebra (mathcal {B}_{t}({mathbb {D}})).

Further, we have clustered the two-moon dataset by using an induced (M phi -distance M phi -distance by the Sargent sequence space (measure) inducedk-means clustering algorithm.

For any Lebesque measurable set, the associated Lebesque-Stieltjes probability measure induced by is denoted by and it is defined as.

The estimation is based on matching model-implied moment conditions under the occupation measure induced by the spot covariance process.

Let be the Lebesgue measure induced by the standard Euclidean structure in.

Next we consider the space endowed with its Borel -algebra and the family of probability measures on, which is the probability measure induced by the following mapping: (3.52).

Denote θ 0 the true parameter of θ and P θ 0 be the probability measure induced by the process { X t }.

We introduce the g-integral with respect to a fuzzy measure induced by a pseudo-addition ⊕ and a pseudo-multiplication ⊙ in Remark 2.1.

The associated Lebesque-Stieltjes probability measure induced by F is denoted by ν(S) and ν ( S ) = ∫ S d F ( x ) for any Lebesque-Stieltjes measurable set S ⊆ [0, 1].