Sentence examples for auxiliary random from inspiring English sources
where and are auxiliary random variables.
We define the following auxiliary random variables: (D.129).
where u i is an auxiliary random variable.
We can rewrite the auxiliary random variable as follows: (21).
where,,, and are auxiliary random variables, and the maximum is over all joint distributions satisfying.
Thus, using these new auxiliary random variables in (D.144), we get (D.149).
(ii) The region in Theorem 1 is convex due to the auxiliary time-sharing random variable.
We may describe it in terms of the conditional survival function, given an auxiliary gamma distributed random variable Z.
If the SAN servers are represented as "machines", this system can be solved by using the stochastic maintenance model with main unreliable and random auxiliary spare (remote backup) machines, subject to random breakdowns, repairs, and two replacement policies: one for busy and another for idle or vacation periods.
We consider, as such "auxiliary" models, a Monte Carlo random walk for the heat equation and a dissipative particle dynamics (DPD) model for the Navier Stokes equations.
Based on the method of separating epistemic and aleatory uncertainties in a variable, the core idea of the research is firstly to establish a novel deterministic transition model for auxiliary variables, distribution parameters, random variables, failure probability, then to propose the improved importance sampling (IS) to solve the transition model.
