Sentence examples for stochastic set from inspiring English sources

Let (S t,s omega)_{tgeq s,omegainOmega}) be a stochastic dynamical system, and let (A omega)) be a stochastic set satisfying the following conditions: (1) It is the minimal closed set such that, for (tinmathbb{R}) and (Bsubset X), dbigl(S t,s omega B, A omega bigr)rightarrow0, quad srightarrow- infty.

For example, a universal predictor may be compared to (or constructed from) a parametrised stochastic set ( left { P_{theta },thetaa in mathbb {M} right }) such as a set of memoryless Poisson sources, a finite set of kth-order Markov models, or a set of autoregressive models of order p [19,20,23,29].

First, we formulated this problem using stochastic set-covering problem to determine the minimum number of W/D centers among a discrete set of location sites so that the probability of each customer to be covered is not less than a critical service level and solved this problem using 0 1 programming method.

Based on an auxiliary vector, an integral inequality in the stochastic setting is introduced.

The notion is applied to economic and ecological examples and generalised for stochastic sets.

We here analyze the parity space approach to fault detection and isolation in a stochastic setting.

In this paper, SLA is implemented in the framework of a stochastic setting.

An existence theory is also developed by adapting compensated compactness arguments to stochastic setting.

It is natural to ask in which sense this behaviour transfers to the stochastic setting.

The result is a primal-dual update scheme in a stochastic setting.

To date, the same problem in the stochastic setting is only partially well-understood.