To compute the model reliability at each lower level in a multi-level problem where data from multivariate output are observed in multiple experiments, the model reliability value for each experiment can be evaluated using the proposed model reliability metric with multivariate output, and the resultant model reliability values from multiple experiments will construct a distribution of model reliability as described in the proposed stochastic model
Stochastic persistence means that if we start from a positive initial condition, that is, from an interior point of the first quadrant, then solution trajectories of the stochastic model
will always remain within the interior of the first quadrant and remain bounded at all future time.
allow for individual variation to be incorporated.
Multi item stochastic model
with fuzzy cost components
In this preliminary stochastic model
, the two aspects of PAT are averaged, then this averaged PAT value is averaged with the derived values for design space and risk.
Such research objective is achieved through using Box--Jenkins procedures, which allows choosing a stochastic model
based on a two of tree criteria (Andrei, 2004):
of the overdispersion in the place cell discharge.
For example, the quest for more reserve information through the application of stochastic models
, such as bootstrapping, can help the corporate decision maker frame and address important risk management questions that are influenced by loss distribution information: What are the benefits and costs of strengthening reserves?
In this paper, a simple stochastic model
for the spread of a highly communicable disease is presented.
The first attempt to stochastically generalize this type of method was with the de Vylder  least squared model, the starting point for the work done by Mack  in which the estimation of link ratios is carried out by using a linear regression model, the original stochastic model
later being updated and modified.
Finally, we use a stochastic model
to consider what characteristics of the hosts and pathogen define the dynamics and likelihood of an emerging infectious disease.
The correlations between the values obtained by the measurements and the stochastic model
were somewhat higher than the correlations between the measured values and the dispersion values.