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As a stochastic variable is involved in the deconvolution filtering error system, the mean-square stability is investigated.
Finally, a Bayesian post-processor SS+ for the original SS method is developed where the uncertain failure probability that one is estimating is modeled as a stochastic variable whose possible values belong to the unit interval.
The distribution function, which formerly represented the probability distribution, was now conceived of as a stochastic variable (nowadays called a macrostate) subject to a probability distribution.
Thus, BRFS [18] ℱ, as a stochastic variable that takes a value as an empty or singleton set, is fully suitable for the construction of state s n.
(2)–(5) is treated as a stochastic variable and selected from a uniform distribution between values ( pi _mathrm{o} pm delta pi _mathrm{o}), where (delta pi _mathrm{o}=0.33 pi _mathrm{o}).
Since the external loads in our approach are treated as a stochastic variable, we start to call external loads as input forces from here, which is a proper description in the stochastic control theory [22].
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The NPV is a stochastic variable as the reservoir parameters, such as the permeability field, are stochastic.
Define a stochastic variable as (2.8).
In most deterministic and probabilistic inventory models, lead-time is viewed as a prescribed constant or a stochastic variable, which, therefore, is not subject to control.
It is easy to check that k ∈ Ω 1 implies that the event τ ( k ) ∈ [ τ m, τ 0 ] takes place, and k ∈ Ω 2 means that τ ( k ) ∈ ( τ 0, τ M ] happens. Define a stochastic variable as α ( k ) = { 1, k ∈ Ω 1, 0, k ∈ Ω 2. (11).
In most of the early literature dealing with inventory problems, in both deterministic and probabilistic models, lead time is viewed as a prescribed constant or a stochastic variable, which, therefore, is not subject to control [see, e.g., Naddor (1966), Silver and Peterson (1985)].
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