Search results for "Smooth"

showing 10 items of 710 documents

A note on Malliavin smoothness on the Lévy space

2017

We consider Malliavin calculus based on the Itô chaos decomposition of square integrable random variables on the Lévy space. We show that when a random variable satisfies a certain measurability condition, its differentiability and fractional differentiability can be determined by weighted Lebesgue spaces. The measurability condition is satisfied for all random variables if the underlying Lévy process is a compound Poisson process on a finite time interval. peerReviewed

Statistics and ProbabilitySmoothness (probability theory)matematiikkaLévy processMalliavin calculus010102 general mathematicsMalliavin calculus01 natural sciencesLévy processinterpolation010104 statistics & probability60H07Mathematics::ProbabilitySquare-integrable functionCompound Poisson processApplied mathematicsinterpolointiDifferentiable functiontila0101 mathematicsStatistics Probability and UncertaintyLp spaceRandom variable60G51MathematicsElectronic Communications in Probability
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A decision support system methodology for forecasting of time series based on soft computing

2006

Exponential procedures are widely used as forecasting techniques for inventory control and business planning. A number of modifications to the generalized exponential smoothing (Holt-Winters) approach to forecasting univariate time series is presented, which have been adapted into a tool for decision support systems. This methodology unifies the phases of estimation and model selection into just one optimization framework which permits the identification of robust solutions. This procedure may provide forecasts from different versions of exponential smoothing by fitting the updated formulas of Holt-Winters and selects the best method using a fuzzy multicriteria approach. The elements of the…

Statistics and ProbabilitySoft computingMathematical optimizationDecision support systembusiness.industryApplied MathematicsModel selectionExponential smoothingUnivariateFuzzy logicNonlinear programmingComputational MathematicsComputational Theory and MathematicsArtificial intelligencebusinessPhysics::Atmospheric and Oceanic PhysicsSmoothingMathematicsComputational Statistics & Data Analysis
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A comparison of nonparametric methods in the graduation of mortality: Application to data from the Valencia Region (Spain)

2006

[EN] The nonparametric graduation of mortality data aims to estimate death rates by carrying out a smoothing of the crude rates obtained directly from original data. The main difference with regard to parametric models is that the assumption of an age-dependent function is unnecessary, which is advantageous when the information behind the model is unknown, as one cause of error is often the choice of an inappropriate model. This paper reviews the various alternatives and presents their application to mortality data from the Valencia Region, Spain. The comparison leads us to the conclusion that the best model is a smoothing by means of Generalised Additive Models (GAM) with splines. The most…

Statistics and ProbabilitySplinesComputer scienceMortality rateESTADISTICA E INVESTIGACION OPERATIVANonparametric statisticsFunction (mathematics)GAMLife tablesStatisticsParametric modelEconometricsRange (statistics)Kernel smootherKernel smoothingStatistics Probability and UncertaintyLOESSAdditive modelSmoothing
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The Induced Smoothed lasso: A practical framework for hypothesis testing in high dimensional regression.

2020

This paper focuses on hypothesis testing in lasso regression, when one is interested in judging statistical significance for the regression coefficients in the regression equation involving a lot of covariates. To get reliable p-values, we propose a new lasso-type estimator relying on the idea of induced smoothing which allows to obtain appropriate covariance matrix and Wald statistic relatively easily. Some simulation experiments reveal that our approach exhibits good performance when contrasted with the recent inferential tools in the lasso framework. Two real data analyses are presented to illustrate the proposed framework in practice.

Statistics and ProbabilityStatistics::TheoryInduced smoothingEpidemiologyComputer scienceFeature selectionWald test01 natural sciencesasthma researchStatistics::Machine Learning010104 statistics & probability03 medical and health sciencesHealth Information ManagementLasso (statistics)Linear regressionsparse modelsStatistics::MethodologyComputer Simulation0101 mathematicssandwich formula030304 developmental biologyStatistical hypothesis testing0303 health sciencesCovariance matrixlung functionRegression analysisStatistics::Computationsparse modelResearch DesignAlgorithmSmoothingvariable selectionStatistical methods in medical research
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Spatial moving average risk smoothing

2013

This paper introduces spatial moving average risk smoothing (SMARS) as a new way of carrying out disease mapping. This proposal applies the moving average ideas of time series theory to the spatial domain, making use of a spatial moving average process of unknown order to define dependence on the risk of a disease occurring. Correlation of the risks for different locations will be a function of m values (m being unknown), providing a rich class of correlation functions that may be reproduced by SMARS. Moreover, the distance (in terms of neighborhoods) that should be covered for two units to be found to make the correlation of their risks 0 is a quantity to be fitted by the model. This way, …

Statistics and ProbabilityStructure (mathematical logic)RiskModels StatisticalSeries (mathematics)EpidemiologyBayes TheoremFunction (mathematics)BiostatisticsMoving-average modelCorrelationMoving averageSpainEconometricsRange (statistics)HumansComputer SimulationDiseaseMortalitySmoothingMathematics
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Estimation of total electricity consumption curves by sampling in a finite population when some trajectories are partially unobserved

2019

International audience; Millions of smart meters that are able to collect individual load curves, that is, electricity consumption time series, of residential and business customers at fine scale time grids are now deployed by electricity companies all around the world. It may be complex and costly to transmit and exploit such a large quantity of information, therefore it can be relevant to use survey sampling techniques to estimate mean load curves of specific groups of customers. Data collection, like every mass process, may undergo technical problems at every point of the metering and collection chain resulting in missing values. We consider imputation approaches (linear interpolation, k…

Statistics and Probabilityconstructionkernel smoothingPopulationSurvey samplingimputation01 natural sciences010104 statistics & probability[MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]0502 economics and businessStatisticsImputation (statistics)0101 mathematicseducationsurvey samplingfunctional data050205 econometrics Mathematicsconfidence bandsConsumption (economics)Estimationeducation.field_of_studymissing completely at randombusiness.industry05 social sciencesprincipal analysis by conditional estimationSampling (statistics)[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]nearest neighboursKernel smoothervariance-estimationElectricityStatistics Probability and Uncertaintybusinessvariance approximation
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Efficient Estimation of Non-Linear Finite Population Parameters by Using Non-Parametrics

2013

Summary Currently, high precision estimation of non-linear parameters such as Gini indices, low income proportions or other measures of inequality is particularly crucial. We propose a general class of estimators for such parameters that take into account univariate auxiliary information assumed to be known for every unit in the population. Through a non-parametric model-assisted approach, we construct a unique system of survey weights that can be used to estimate any non-linear parameter that is associated with any study variable of the survey, using a plug-in principle. Based on a rigorous functional approach and a linearization principle, the asymptotic variance of the estimators propose…

Statistics and Probabilityeducation.field_of_studyPopulationUnivariateEstimatorVariance (accounting)Delta methodLinearizationStatisticsEconometricsStatistics Probability and UncertaintyeducationSmoothingParametric statisticsMathematicsJournal of the Royal Statistical Society Series B: Statistical Methodology
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Random walk approximation of BSDEs with H{\"o}lder continuous terminal condition

2018

In this paper, we consider the random walk approximation of the solution of a Markovian BSDE whose terminal condition is a locally Hölder continuous function of the Brownian motion. We state the rate of the L2-convergence of the approximated solution to the true one. The proof relies in part on growth and smoothness properties of the solution u of the associated PDE. Here we improve existing results by showing some properties of the second derivative of u in space. peerReviewed

Statistics and Probabilitynumerical schemeHölder conditionSpace (mathematics)01 natural sciences010104 statistics & probabilityMathematics::Probability0101 mathematicsBrownian motionrandom walk approximationSecond derivativeMathematicsstokastiset prosessitSmoothness (probability theory)numeeriset menetelmät010102 general mathematicsMathematical analysisSpeed of convergenceBackward stochastic differential equationsFunction (mathematics)State (functional analysis)Random walk[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]random walk approxi-mationbackward stochastic differential equationsspeed of convergencespeed of convergence MSC codes : 65C30 60H35 60G50 65G99Mathematics - Probability
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CO-releasing binuclear rhodium complexes as inhibitors of nitric oxide generation in stimulated macrophages.

2013

Nontoxic CO-releasing dirhodium complexes act as inhibitors of NO in stimulated macrophage cells, suggesting that novel antiinflammatory treatments could involve the use of these types of binuclear complexes.

StereochemistryAnti-Inflammatory Agentschemistry.chemical_elementApoptosisNitric OxideModels BiologicalNitric oxideRhodiumCell LineInorganic Chemistrychemistry.chemical_compoundQUIMICA ORGANICACoordination ComplexesQUIMICA ANALITICAMacrophageMoleculeAnimalsHumansRhodiumPhysical and Theoretical ChemistryCarbon monoxideCarbon MonoxideMacrophagesRegulatorQUIMICA INORGANICAMoleculesHeme oxygenaseHeme oxygenaseCormschemistrySmooth muscle cellsCell cultureApoptosisBiological AssayCarbon monoxideInorganic chemistry
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Tetrandrine and Isotetrandrine, Two Bisbenzyltetrahydroisoquinoline Alkaloids from Menispermaceae, with Rat Uterine Smooth Muscle Relaxant Activity

1992

Abstract The effects of two bisbenzyltetrahydroisoquinoline alkaloids, 1S, 1′S tetrandrine and its isomer 1R, 1′S isotetrandrine, were investigated in rat isolated uterus in order to identify the mechanism of relaxant action and to study the influence of the absolute configuration on the activity of these alkaloids. Both inhibited the uterine contraction induced by high K+, acetylcholine and oxytocin. In Ca2+-free medium, isotetrandrine relaxed the sustained contraction induced by oxytocin but tetrandrine did not. The relaxant effects of the alkaloids may be due to blockade of calcium influx through specific channels. Tetrandrine and isotetrandrine modify the calcium channel in a nonreversi…

StereochemistryPharmaceutical ScienceIn Vitro TechniquesPharmacologyOxytocinBenzylisoquinolinesUterine contractionUterine Contractionchemistry.chemical_compoundAlkaloidsmedicineAnimalsPharmacologyDose-Response Relationship Drugbusiness.industryAlkaloidCalcium channelAnti-Inflammatory Agents Non-SteroidalUterusMuscle SmoothRats Inbred StrainsStereoisomerismBiological activityAcetylcholineRatsTetrandrineOxytocinchemistryDepression ChemicalFemalemedicine.symptombusinessAcetylcholinemedicine.drugMuscle contractionJournal of Pharmacy and Pharmacology
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