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Posts Tagged ‘MATHEMATICAL models’

Convex combinations of quadrant dependent copulas






Abstract: It is well known that quadrant dependent (QD) random variables are also quadrant dependent in expectation (QDE). Recent literature has offered examples rigorously establishing the fact that there are QDE random variables which are not QD. The examples are based on convex combinations of specially chosen QD copulas: one negatively QD and another positively QD. In this paper we establish general results that determine when convex combinations of arbitrary QD copulas give rise to negatively or positively QD/QDE copulas. In addition to being an interesting mathematical exercise, the established results are helpful when modeling insurance and financial portfolios. [Copyright &y& Elsevier]


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Occurrence, accumulation, attenuation and priority of typical antibiotics in sediments based on long-term field and modeling studies

Abstract: Long-term field and modeling studies were performed to measure and predict occurrence, accumulation, attenuation and priority of typical antibiotics in sediments of the Dagu River in China. The results indicated that the concentrations of antibiotics ranged from lower than the limit of detection to 12.4mg/kg, depending on the accumulation time of these antibiotics in sediments. Compared with the residential and industrial areas, the agricultural region of the watershed was a major source of antibiotic contamination in sediments. Accumulation and attenuation kinetics models were established and successfully applied in the field study. For instance, by 2100, the accumulation model predicted that the concentrations of roxithromycin and oxytetracycline would rise to 13 and 7.3mg/kg, respectively. The first and second order attenuation kinetics models revealed the fate of these antibiotics along the downstream and upstream sediments, respectively. The half-life distances of antibiotic attenuation ranged from 3.5 to 12.4km. Based on the contamination level and trend, a priority factor and an accumulation growth factor were defined to identify the priority pollutants from the antibiotics. Gentamicin and roxithromycin were recognized as the top priority pollutants among the tested antibiotics. In the future, a wider applicability of the methods and models needs to be explored and suggested. [Copyright &y& Elsevier]

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Some aspects of lorentz-karamata spaces

Let G be a locally σ-compact abelian group with Haar measure μ. In this small note, we introduce some simple properties of Lorentz-Karamata spaces Lp,q;b (G) and also characterize the space of multipliers from L¹ (G) to Lorentz-Karamata spaces. [ABSTRACT FROM AUTHOR]

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Random iterative algorithms for nonlinear mixed family of random fuzzy and crisp operator equation couples in fuzzy normed spaces

The purpose of this paper is to introduce and study a new class of nonlinear mixed family of random fuzzy and crisp operator equation couples in fuzzy normed spaces based on the random version of the theory of (φ, ψ)-contractor due to Mihet. Further, some new random iterative algorithms for solving this kind of nonlinear operator equation couples in fuzzy normed spaces are constructed and the convergence of iterative sequences generated by the algorithms under joint orbitally complete conditions is proved. As applications, some new common fixed point theorems for a mixed family of fuzzy and crisp operators in fuzzy normed spaces are also given. The results presented in this paper improve and generalize the corresponding results of recent works. [ABSTRACT FROM AUTHOR]

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Process modelling for contingency tables with ordered categories

We consider the setting of a multi-way contingency table with ordinal classifications. The contribution of this paper is to propose a joint probability model for the uncensored variables that is apart from the imposed categorization. Specifically, for an m-way table, we assume that the cell counts arise as a binned point pattern over a bounded set in m-dimensional Euclidean space where the point pattern is a realization of a non-homogeneous Poisson process. The intensity which drives the point pattern is itself viewed as a realization of a log Gaussian process over the set.With such an approach we achieve full inference regarding the underlying joint distribution, in particular, inference for familiar associations between the ordinal variables in the absence of interval censoring. Additionally, inference can be provided for any newly created cells where such creation is achieved through redefinition of the ordinal classifications. That is, rather than ad hoc reallocation, we achieve a fully model-based reallocation enabling quantification of uncertainty. For a contingency table with nominal classifications as well, our approach creates an intensity for the ordinal variables for each level of the nominal variables.The methodology is detailed within a hierarchical framework, showing associated computation and convenient dimension reduction techniques to facilitate model fitting. We illustrate with both simulated data and a real census dataset.

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Landau type inequalities on time scales

Here we prove some new type Landau inequalities on Time Scales. Both delta and nabla cases are presented. We give applications. [ABSTRACT FROM AUTHOR]

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Integral-type operators between weighted bergman spaces on the unit disk

The boundedness and compactness of the integral-type operator Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. where g is a holomorphic function on the unit disk and n ∈ ℕ0, between weighted Bergman spaces are characterized. [ABSTRACT FROM AUTHOR]

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Flow regime characterization in a diseased artery model

Cardiovascular disease mostly in the form of atherosclerosis is responsible for 30% of all world deaths amounting to 17 million people per year. Atherosclerosis is due to the formation of plaque. The fatty plaque may be at risk of rupture, leading typically to stroke and heart attack. The plaque is usually associated with a high degree of lumen reduction, called a stenosis. The initiation and progression of the disease is strongly linked to the hemodynamic environment near the vessel wall. The aim of this study is to validate the flow of blood mimic through an arterial stenosis model with computational fluid dynamics (CFD) package. In experiment, an axisymmetric model constructed consists of contraction and expansion region that follow a mathematical form of cosine function. A 30% diameter reduction was used in this study. Particle image velocimetry (PIV) was used to characterize the flow. The fluid consists of rigid spherical particles suspended in waterglycerol- NaCl mixture. The particles with 20 µm diameter were selected to follow the flow of fluid. The flow at Re=155, 270 and 390 were investigated. The experimental result is compared with FLUENT simulated flow that account for viscous laminar flow model. The results suggest that laminar flow model was sufficient to predict flow velocity at the inlet but the velocity at stenosis throat at Re =390 was overestimated. Hence, a transition to turbulent regime might have been developed at throat region as the flow rate increases [ABSTRACT FROM AUTHOR]

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Characterization on simultaneous approximation for left gamma quasi-interpolants in lp spaces

Recently M.W.Müller [9] gave the Gamma quasi-interpolants and obtained approximation equivalence theorems with Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. In this paper we obtain characterizations on simultaneous approximation for left. Gamma quasi-interpolants with Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. [ABSTRACT FROM AUTHOR]

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A weighted bivariate blending rational interpolation function and visualization control

A new weighted bivariate blending rational spline with parameters is constructed based on function values of a function only. The interpolation is C¹ in the whole interpolating region under the condition which free parameters is not limited. This paper deals with the properties of the interpolation surface, including the properties of basis function, the properties of integral weighted coefficients and bounded property of the interpolation. In order to meet the needs of practical design, an interpolation technique is employed to control the shape of surfaces. The method of value control of the interpolation at any point in the interpolating region is developed. This control method can be applied to modify the local shape of an interpolating surface by selecting suitable parameters simply. [ABSTRACT FROM AUTHOR]

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