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Results show that Gaussian Copula is excellent to model the marginal function of each speed series, and it is reasonable.
The psychological stress induced during the debris reverse logistic process is the integral of an increasing marginal function of the waiting time for medical treatment and debris removal.
Given a real function u ( x ) on X, we define a value function (called also a marginal function) of u by β ( x ) = inf z ∈ T ( x ) u ( z ).
Besides, for the so-called semivectorial bilevel optimization problem, Bonnel and Morgan [15] construct the penalized problem by the marginal function of the lower level problem and propose the penalty function algorithm.
Ankhili and Mansouri [18] propose an exact penalty function algorithm based on the marginal function of lower level problem for the LBMP problem, where the upper level is a linear scalar optimization problem and the lower level is a linear multiobjective optimization problem.
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On the other hand, by stability we mean the qualitative analysis, that is, the study of various continuity properties of the perturbation (or marginal) function (or map) of a family of parametrized vector optimization problems.
Usually, by stability, we mean the qualitative analysis, which is the study of various continuity properties of the perturbation or marginal function or map of a family of parametrized optimization problems.
In this paper, the bilevel programming model for CNDPs is transferred into a single level optimization problem by virtue of a marginal function tool.
In order to analyze the bilevel value function φ p o ( x, y ) and φ p p o ( x ), we consider a general 'abstract' framework of the marginal function: μ ( x ) = min y { ψ ( x, y ) ∣ y ∈ Ξ ( x ) }, (3.14).
The marginal density function of the th ordered eigenvalue can be obtained by [19] (16).
If the marginal distribution function of (Y_{i}) is denoted by (F^), we have {F^ ( y ) = frac{1}{alpha} int_{ - infty}^{y} {G ( u ),dF ( u )}, so the marginal density function of Y is {f^ ( y ) = frac{1}{alpha}G ( y )f ( y ).
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Justyna Jupowicz-Kozak
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