Search results for " uncertainty."

showing 10 items of 741 documents

Extropy: Complementary Dual of Entropy

2015

This article provides a completion to theories of information based on entropy, resolving a longstanding question in its axiomatization as proposed by Shannon and pursued by Jaynes. We show that Shannon's entropy function has a complementary dual function which we call "extropy." The entropy and the extropy of a binary distribution are identical. However, the measure bifurcates into a pair of distinct measures for any quantity that is not merely an event indicator. As with entropy, the maximum extropy distribution is also the uniform distribution, and both measures are invariant with respect to permutations of their mass functions. However, they behave quite differently in their assessments…

Bregman divergenceFOS: Computer and information sciencesStatistics and ProbabilitySettore MAT/06 - Probabilita' E Statistica MatematicaKullback–Leibler divergenceComputer Science - Information TheoryGeneral MathematicsFOS: Physical sciencesBinary numberMathematics - Statistics TheoryStatistics Theory (math.ST)Kullback–Leibler divergenceBregman divergenceproper scoring rulesGini index of heterogeneityDifferential entropyBinary entropy functionFOS: MathematicsEntropy (information theory)Statistical physicsDual functionAxiomMathematicsdifferential and relative entropy/extropy Kullback- Leibler divergence Bregman divergence duality proper scoring rules Gini index of heterogeneity repeat rate.Settore ING-INF/05 - Sistemi Di Elaborazione Delle InformazioniDifferential and relative entropy/extropyInformation Theory (cs.IT)Probability (math.PR)repeat ratePhysics - Data Analysis Statistics and ProbabilitydualityStatistics Probability and UncertaintySettore SECS-S/01 - StatisticaMathematics - ProbabilityData Analysis Statistics and Probability (physics.data-an)Statistical Science
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Variability and Uncertainty Challenges in Scaling Imaging Spectroscopy Retrievals and Validations from Leaves Up to Vegetation Canopies

2019

Imaging spectroscopy of vegetation requires methods for scaling and generalizing optical signals that are reflected, transmitted and emitted in the solar wavelength domain from single leaves and observed at the level of canopies by proximal sensing, airborne and satellite spectroradiometers. The upscaling embedded in imaging spectroscopy retrievals and validations of plant biochemical and structural traits is challenged by natural variability and measurement uncertainties. Sources of the leaf-to-canopy upscaling variability and uncertainties are reviewed with respect to: (1) implementation of retrieval algorithms and (2) their parameterization and validation of quantitative products through…

Canopy010504 meteorology & atmospheric sciencesUFSP13-8 Global Change and BiodiversityVegetation15. Life on land010502 geochemistry & geophysics01 natural sciencesArticleImaging spectroscopy10122 Institute of GeographyGeophysicsSpectroradiometer13. Climate actionGeochemistry and Petrology1906 Geochemistry and PetrologyRadiative transferMeasurement uncertaintyEnvironmental scienceSatellite910 Geography & travel1908 GeophysicsLeaf area index0105 earth and related environmental sciencesRemote sensing
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Climate Change in the Mediterranean Basin (Part II): A Review of Challenges and Uncertainties in Climate Change Modeling and Impact Analyses

2023

AbstractThe Mediterranean basin is particularly prone to climate change and vulnerable to its impacts. One of the most relevant consequences of climate change, especially for the southern Mediterranean regions, is certainly water scarcity as result of a reduction of surface runoff and groundwater levels. Despite the progress achieved in recent years in the field of climate change and its impact on water resources, results and outcomes should be treated with due caution since any future climate projection and derived implications are inevitably affected by a certain degree of uncertainty arising from each different stage of the entire modeling chain. This work offers a comprehensive overview…

Climate change Mediterranean basin Hydrological processes Uncertainty Water resourcesSettore ICAR/02 - Costruzioni Idrauliche E Marittime E IdrologiaWater Science and TechnologyCivil and Structural EngineeringWater Resources Management
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The Relationship between Subjective Risk Intelligence and Courage with Working Performance: The Potential Mediating Effect of Workplace Social Courage

2022

Background: There is a growing attention toward the construct of courage from a psychological point of view; recently, courage has been related with numerous positive individual behaviors and outcomes, such as coping strategies and subjective wellbeing, and an increasing number of studies explore the role of courage in the working and organizational environments. The present study is aimed to analyze the effect that individual courage—together with risk intelligence—and workplace social courage have on working performance; Methods: The participants are 961 Italian workers, balanced by gender; the measures used are: Courage, Subjective Risk Intelligence Scale, Workplace Social Courage Scale,…

Clinical Psychologycourage workplace social courage risk uncertainty workers; risk intelligenceworkersDevelopmental and Educational Psychologycouragerisk intelligenceworkplace social couragepsychologyuncertaintybusinessApplied Psychologyriskcourage; workplace social courage; risk; uncertainty; workers; risk intelligenceEuropean Journal of Investigation in Health, Psychology and Education; Volume 12; Issue 4; Pages: 431-444
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Bayesian hypothesis testing: A reference approach

2002

Summary For any probability model M={p(x|θ, ω), θeΘ, ωeΩ} assumed to describe the probabilistic behaviour of data xeX, it is argued that testing whether or not the available data are compatible with the hypothesis H0={θ=θ0} is best considered as a formal decision problem on whether to use (a0), or not to use (a0), the simpler probability model (or null model) M0={p(x|θ0, ω), ωeΩ}, where the loss difference L(a0, θ, ω) –L(a0, θ, ω) is proportional to the amount of information δ(θ0, ω), which would be lost if the simplified model M0 were used as a proxy for the assumed model M. For any prior distribution π(θ, ω), the appropriate normative solution is obtained by rejecting the null model M0 wh…

CombinatoricsBinomial distributionStatistics and ProbabilityBayes' theoremDistribution (mathematics)Prior probabilityStatisticsMultivariate normal distributionContext (language use)Statistics Probability and UncertaintyLindley's paradoxMathematicsStatistical hypothesis testing
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The simplex dispersion ordering and its application to the evaluation of human corneal endothelia

2009

A multivariate dispersion ordering based on random simplices is proposed in this paper. Given a R^d-valued random vector, we consider two random simplices determined by the convex hulls of two independent random samples of sizes d+1 of the vector. By means of the stochastic comparison of the Hausdorff distances between such simplices, a multivariate dispersion ordering is introduced. Main properties of the new ordering are studied. Relationships with other dispersion orderings are considered, placing emphasis on the univariate version. Some statistical tests for the new order are proposed. An application of such ordering to the clinical evaluation of human corneal endothelia is provided. Di…

CombinatoricsConvex hullStatistics and ProbabilityNumerical AnalysisHausdorff distanceSimplexMultivariate random variableHausdorff spaceRegular polygonUnivariateStatistical dispersionStatistics Probability and UncertaintyMathematicsJournal of Multivariate Analysis
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The McKay conjecture and Galois automorphisms

2004

The main problem of representation theory of finite groups is to find proofs of several conjectures stating that certain global invariants of a finite group G can be computed locally. The simplest of these conjectures is the ?McKay conjecture? which asserts that the number of irreducible complex characters of G of degree not divisible by p is the same if computed in a p-Sylow normalizer of G. In this paper, we propose a much stronger version of this conjecture which deals with Galois automorphisms. In fact, the same idea can be applied to the celebrated Alperin and Dade conjectures.

CombinatoricsFinite groupMathematics (miscellaneous)ConjectureStatistics Probability and UncertaintyInvariant (mathematics)AutomorphismMathematical proofCentralizer and normalizerRepresentation theory of finite groupsGroup representationMathematicsAnnals of Mathematics
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On the Efficiency of Affine Invariant Multivariate Rank Tests

1998

AbstractIn this paper the asymptotic Pitman efficiencies of the affine invariant multivariate analogues of the rank tests based on the generalized median of Oja are considered. Formulae for asymptotic relative efficiencies are found and, under multivariate normal and multivariatetdistributions, relative efficiencies with respect to Hotelling'sT2test are calculated.

CombinatoricsStatistics and ProbabilityMultivariate statisticsNumerical AnalysisRank (linear algebra)Consistent estimatorAffine invariantStatistics::MethodologyMultivariate normal distributionStatistics Probability and UncertaintyAsymptotic efficiency Oja median multivariate signed-rank test multivariate-rank test Pitman efficiencyMathematicsJournal of Multivariate Analysis
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The Poincaré inequality is an open ended condition

2008

Let p > 1 and let (X,d,µ) be a complete metric measure space with µ Borel and doubling that admits a (1,p)-Poincare inequality. Then there exists e > 0 such that (X,d,µ) admits a (1,q)-Poincare inequality for every q > p - e, quantitatively.

Combinatoricssymbols.namesakeMathematics (miscellaneous)Mathematical analysisMetric (mathematics)symbolsPoincaré inequalityStatistics Probability and UncertaintyMinkowski inequalitySpace (mathematics)Measure (mathematics)MathematicsAnnals of Mathematics
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BARGAINING WITH COMMITMENT UNDER AN UNCERTAIN DEADLINE

2006

We consider an infinite horizon bargaining game in which a deadline can arise with positive probability and where players possess an endogenous commitment device. We show that for any truncation of the game, the equilibrium agreement can only take place if the deadline arises within this finite horizon. Since the deadline is an uncertain event, the equilibrium exhibits agreements which are delayed with positive probability.

Commitment deviceComputer Science::Computer Science and Game TheoryGeneral Computer ScienceTruncationFinite horizonC78 [Bargaining endogenous commitment delays uncertain deadline JEL Classification]jel:M2MicroeconomicsEconomicsjel:C0Infinite horizonStatistics Probability and UncertaintyBusiness and International Managementjel:D5jel:B4Mathematical economicsComputer Science::Operating Systemsjel:C6jel:D7Positive probabilityComputer Science::Databasesjel:C7Event (probability theory)International Game Theory Review
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