Sentence examples for a stochastic order from inspiring English sources

A binary relation ⪯ ˜ on P is said to be a stochastic order if ( P, ⪯ ˜ ) is a poset.

In this paper we characterize when, for a stochastic order ⪯ ˜, there exists a partial order ⪯ on X such that ⪯ g is ⪯ ˜.

Note that, in general, if ℛ is a generator of a stochastic order and g and f are ⪯-comonotonic functions for all f ∈ R, g is not necessarily an element of ℛ.

A stochastic order is defined as a partial order relation on a set of probabilities associated with a certain measurable space, although in some contexts the antisymmetric condition is not considered.

Given a stochastic order ⪯ ˜ on P, we will obtain a sufficient and necessary condition for the existence of a partial order ⪯ on X such that ⪯ g and ⪯ ˜ are the same order.

A stochastic order ⪯ ˜ on P is said to be integral if there exists a class ℛ of measurable mappings from X to ℝ satisfying that P ⪯ ˜ Q if and only if ∫ f d P ≤ ∫ f d Q. for all f ∈ R such that the above integrals exist.

The test chosen is based on a stochastic ordering.

In this paper, we provide a stochastic ordering of the random vector T= X2/X1,2X3/ X1+X2),…, m-1 Xm/∑j="1m-1Xj) as the βj's change for any given 2⩽m⩽k.

Finally, a stochastic ordering test showed an alignment between the GDs who attributed higher relevance to information and communication technologies and advanced technologies for sustainability and the adoption of formal sustainability strategy.

We briefly describe the concept of a maximal generator of an integral stochastic order (see [4] or [5]).

Based on this order relation, a generalized stochastic order has been introduced in [18].