Search results for "distribution function"

showing 10 items of 348 documents

Direct validation of FVC, LAI and FAPAR VEGETATION/SPOT derived products using LSA SAF methodology

2007

The aim of this work is to perform a direct validation of fraction of vegetation cover (FVC), leaf area index (LAI) and fraction of absorbed photosynthetically active radiation (FAPAR) resulting products from applying the LSA SAF methodology to VEGETATION BRDF data. LSA SAF adapted algorithms were tested in adequate test sites comprising different continental biomes covering a wide range of FVC, LAI and FAPAR values. Results seem to indicate the competitiveness of LSA SAF proposed methodology to retrieve remotely sensed biophysical parameters. A noticeable good agreement regarding the ground measurements was found. The overall accuracy (RAISE) is around 20% for FVC and FAPAR and around 15% …

FEV1/FVC ratioPhotosynthetically active radiationBiomeEnvironmental scienceEnhanced vegetation indexVegetationBidirectional reflectance distribution functionLeaf area indexVegetation coverRemote sensing2007 IEEE International Geoscience and Remote Sensing Symposium
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Fractional generalized cumulative entropy and its dynamic version

2021

Following the theory of information measures based on the cumulative distribution function, we propose the fractional generalized cumulative entropy, and its dynamic version. These entropies are particularly suitable to deal with distributions satisfying the proportional reversed hazard model. We study the connection with fractional integrals, and some bounds and comparisons based on stochastic orderings, that allow to show that the proposed measure is actually a variability measure. The investigation also involves various notions of reliability theory, since the considered dynamic measure is a suitable extension of the mean inactivity time. We also introduce the empirical generalized fract…

FOS: Computer and information sciencesExponential distributionComputer Science - Information TheoryMathematics - Statistics TheoryStatistics Theory (math.ST)01 natural sciencesMeasure (mathematics)010305 fluids & plasmas0103 physical sciencesFOS: MathematicsApplied mathematicsAlmost surelyCumulative entropy; Fractional calculus; Stochastic orderings; EstimationEntropy (energy dispersal)010306 general physicsStochastic orderingsMathematicsCentral limit theoremNumerical AnalysisInformation Theory (cs.IT)Applied MathematicsCumulative distribution functionProbability (math.PR)Fractional calculusEmpirical measureFractional calculusModeling and SimulationEstimationCumulative entropyMathematics - ProbabilityCommunications in Nonlinear Science and Numerical Simulation
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General framework for testing Poisson-Voronoi assumption for real microstructures

2020

Modeling microstructures is an interesting problem not just in Materials Science but also in Mathematics and Statistics. The most basic model for steel microstructure is the Poisson-Voronoi diagram. It has mathematically attractive properties and it has been used in the approximation of single phase steel microstructures. The aim of this paper is to develop methods that can be used to test whether a real steel microstructure can be approximated by such a model. Therefore, a general framework for testing the Poisson-Voronoi assumption based on images of 2D sections of real metals is set out. Following two different approaches, according to the use or not of periodic boundary conditions, thre…

FOS: Computer and information sciencesreal microstructuresPoisson-Voronoi diagrams0211 other engineering and technologies02 engineering and technologyManagement Science and Operations ResearchPoisson distribution01 natural sciencesStatistics - ApplicationsMethodology (stat.ME)Set (abstract data type)010104 statistics & probabilitysymbols.namesakehypothesis testingPeriodic boundary conditionsApplied mathematicsApplications (stat.AP)0101 mathematicsStatistics - MethodologyStatistical hypothesis testing021103 operations researchCumulative distribution functionDiagramscalingGeneral Business Management and Accounting62P30 62-00 62-01 62G10persistence landscapeModeling and SimulationsymbolsTopological data analysiscumulative distribution functionVoronoi diagramApplied Stochastic Models in Business and Industry
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Effects of the cluster surface on the electronic shell structure: faceting, roughness and softness

1995

Several simple models have been used to study the effects of the surface on the electronic shell structure in metal clusters. The main results are as follows: The icosahedral clusters have the same electronic shell structure as the sphere up to about 1000 atoms. The surface roughness causes the distribution of the level spacings to be a Wigner distribution. By varying the softness of the potential we can obtain potentials where the simplest classical orbits are the ‘five-point star’ or even ‘the three-point star’.

FacetingSurface (mathematics)Materials scienceClassical mechanicsIcosahedral symmetryPhysics::Atomic and Molecular ClustersCluster (physics)Surface roughnessWigner distribution functionFermi energySurface finishMolecular physics
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Outage statistics for Beckmann fading channels in non-isotropic scattering environments

2015

In this paper, the outage statistics are studied for non-isotropic Beckmann fading channel model. Non-isotropic scattering generally results in an asymmetrical Doppler power spectral density (PSD). In this context, an expression for the outage probability (OP) (or equivalently the cumulative distribution function (CDF)) of the fading envelope is first derived. Then, the probability density function (PDF) of the rate of change of the fading envelope is investigated. Thereafter, an expression for the average rate of outages (ARO) (or equivalently the level-crossing rate (LCR)) is provided. Finally, by making use of the analytical results of the ARO and OP, an expression for the average durati…

Fading distributionCumulative distribution functionStatisticsSpectral densityContext (language use)Probability density functionFadingEnvelope (mathematics)Expression (mathematics)Computer Science::Information TheoryMathematics2015 21st Asia-Pacific Conference on Communications (APCC)
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Large-N kinetic theory for highly occupied systems

2018

We consider an effective kinetic description for quantum many-body systems, which is not based on a weak-coupling or diluteness expansion. Instead, it employs an expansion in the number of field components N of the underlying scalar quantum field theory. Extending previous studies, we demonstrate that the large-N kinetic theory at next-to-leading order is able to describe important aspects of highly occupied systems, which are beyond standard perturbative kinetic approaches. We analyze the underlying quasiparticle dynamics by computing the effective scattering matrix elements analytically and solve numerically the large-N kinetic equation for a highly occupied system far from equilibrium. T…

Field (physics)Lattice field theoryFOS: Physical sciencesFixed point01 natural sciencesMany-body problemHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencessirontanonperturbative effects in field theoryQuantum field theory010306 general physicsdynamiikkaPhysicsta114010308 nuclear & particles physicsScalar (physics)finite temperature field theoryultracold gasesHigh Energy Physics - PhenomenologyDistribution functionClassical mechanicsQuantum Gases (cond-mat.quant-gas)Kinetic theory of gaseskvanttikenttäteoriaCondensed Matter - Quantum Gasesrelativistic heavy-ion collisions
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The effect of mechanical defects on the strength distribution of elementary flax fibres

2009

Flax fibres are finding non-traditional applications as reinforcement of composite materials. The mechanical properties of fibres are affected by the natural variability in plant as well as the damage accumulated during processing, and thus have considerable variability that necessitates statistical treatment of fibre characteristics. The strength distribution of elementary flax fibres has been determined at several fibre lengths by standard tensile tests, and the amount of kink bands in the fibres evaluated by optical microscopy. Strength distribution function, based on the assumption that the presence of kink bands limits fibre strength, is derived and found to provide reasonable agreemen…

Flax fiberA fibresDistribution functionMaterials scienceOptical microscopelawUltimate tensile strengthGeneral EngineeringCeramics and CompositesNatural variabilityComposite materialNatural fiberlaw.inventionComposites Science and Technology
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Modeling strength scatter of elementary flax fibers: The effect of mechanical damage and geometrical characteristics

2011

Elementary bast fibers, apart from acceptable specific mechanical properties, possess a marked variability in geometrical and damage characteristics, which affects their axial tensile strength. A strength distribution function is derived that allows for the effect of kink bands and the scatter of fiber diameter. The distribution function is validated by applying it to the experimental strength data of both intact, carefully hand-decorticated, and damaged elementary flax fibers obtained by standard processing. The results suggest that the presence of kink bands is a limiting factor for the fiber strength.

Flax fiberDistribution functionFiber diameterMaterials scienceMechanics of MaterialsUltimate tensile strengthCeramics and CompositesBast fibreFiber strengthA fibersComposite materialNatural fiberComposites Part A: Applied Science and Manufacturing
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Flood Frequency Analysis for Sicily, Italy

2006

In this paper a regional flood frequency analysis based on the two-component extreme value TCEV distribution is developed using flood data recorded in Sicily. The hierarchical approach, characterized by three investigation levels for estimating the parameters of the theoretical distribution, is discussed first. The highest level of homogeneity hypothesis with regard to the skewness coefficient was verified by using a Monte Carlo technique and taking account of the separation effect proposed by Matalas et al. in 1975. This analysis also showed 1 the inability of the generalized extreme value model to reproduce the empirical cumulative distribution function CDF of the skewness coefficients, a…

Flood mythFlood frequency analysisHomogeneity (statistics)Monte Carlo methodEmpirical distribution functionSkewnessStatisticsGeneralized extreme value distributionEconometricsEnvironmental ChemistryExtreme value theoryGeneral Environmental ScienceWater Science and TechnologyCivil and Structural EngineeringMathematicsJournal of Hydrologic Engineering
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Effect of packing on the cluster nature of C nanotubes: An information entropy analysis

2007

The possibility of the existence of single-wall carbon nanotubes (SWNTs) in organic solvents in the form of clusters is discussed. A theory is developed based on a bundlet model for clusters, which enables describing the distribution function of clusters by size. Comparison of the calculated values of solubility with experiments would permit obtaining energetic parameters characterizing the interaction of an SWNT with its surrounding, in a solid or solution. Fullerenes and SWNTs are unique objects, whose behaviour in many physical situations is characterized by remarkable peculiarities. Peculiarities in solutions show up first in that fullerenes and SWNTs represent the only soluble forms of…

FullereneMaterials scienceEntropy productionGeneral EngineeringMolecular electronicsNanotechnologyCarbon nanotubeWeak interactionlaw.inventionDistribution functionlawChemical physicsCluster (physics)Equipartition theoremMicroelectronics Journal
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