Search results for "maximum"

showing 10 items of 753 documents

High-resolution spectroscopy of the ν3 band of WF6 and ReF6 in a supersonic jet

2002

We have recorded the Fourier-transform infrared (FTIR) spectrum of the ν3 fundamental band of WF6 in a continuous supersonic jet expansion with an instrumental bandwidth of 0.0024 cm−1 (FWHM, full width at half maximum, unapodized), using a Bomem DA.002 spectrometer. Some parts of this band have also been recorded with 0.0007 cm−1 bandwidth using a diode laser spectrometer combined with a pulsed slit jet expansion. A multiple-pass arrangement has been used for the slit jet to observe low-intensity lines. In each case, we have used a WF6:He mixture with a seeding ratio 1:3 leading to a rotational temperature of ca. 50 K. This work extends the previous investigation of Takami and Kuze [J. Che…

SpectrometerChemistryInfraredbusiness.industryGeneral Physics and AstronomyInfrared spectroscopyRotational temperatureLaserSpectral linelaw.inventionFull width at half maximumOpticslawPhysical and Theoretical ChemistryAtomic physicsbusinessSpectroscopyThe Journal of Chemical Physics
researchProduct

Modeling Forest Tree Data Using Sequential Spatial Point Processes

2021

AbstractThe spatial structure of a forest stand is typically modeled by spatial point process models. Motivated by aerial forest inventories and forest dynamics in general, we propose a sequential spatial approach for modeling forest data. Such an approach is better justified than a static point process model in describing the long-term dependence among the spatial location of trees in a forest and the locations of detected trees in aerial forest inventories. Tree size can be used as a surrogate for the unknown tree age when determining the order in which trees have emerged or are observed on an aerial image. Sequential spatial point processes differ from spatial point processes in that the…

Statistics and Probability010504 meteorology & atmospheric scienceshistory-dependent modelpaikkatietoanalyysi01 natural sciencesPoint process010104 statistics & probabilityilmakuvakartoitusfunctional summary statisticsFeature (machine learning)spatial point processes0101 mathematicsmaximum likelihoodtilastolliset mallitAerial image0105 earth and related environmental sciencesGeneral Environmental ScienceForest dynamicsSpatial structureApplied Mathematics15. Life on landAgricultural and Biological Sciences (miscellaneous)Tree (graph theory)metsänarviointiData setEnvironmental sciencekaukokartoitusStatistics Probability and UncertaintyGeneral Agricultural and Biological SciencesPoint process modelsCartographyordered sequence
researchProduct

An association model for bivariate data with application to the anlysis of university students' success.

2015

The academic success of students is a priority for all universities. We analyze the students' success at university by considering their performance in terms of both ‘qualitative performance’, measured by their mean grade, and ‘quantitative performance’, measured by university credits accumulated. These data come from an Italian University and concern a cohort of students enrolled at the Faculty of Economics. To jointly model both the marginal relationships and the association structure with covariates, we fit a bivariate ordered logistic model by penalized maximum likelihood estimation. The penalty term we use allows us to smooth the association structure and enlarge the range of possible …

Statistics and Probability05 social sciencesBivariate analysisLogistic regression01 natural sciencesTerm (time)010104 statistics & probabilityGoodness of fitBivariate data0502 economics and businessStatisticsCovariateEconometricsRange (statistics)Settore SECS-S/05 - Statistica Sociale050207 economics0101 mathematicsStatistics Probability and UncertaintyAssociation (psychology)Mathematicsmodels for association students' performance bivariate ordinal response Dale's model maximum penalized likelihood estimation
researchProduct

A penalized approach for the bivariate ordered logistic model with applications to social and medical data

2018

Bivariate ordered logistic models (BOLMs) are appealing to jointly model the marginal distribution of two ordered responses and their association, given a set of covariates. When the number of categories of the responses increases, the number of global odds ratios to be estimated also increases, and estimation gets problematic. In this work we propose a non-parametric approach for the maximum likelihood (ML) estimation of a BOLM, wherein penalties to the differences between adjacent row and column effects are applied. Our proposal is then compared to the Goodman and Dale models. Some simulation results as well as analyses of two real data sets are presented and discussed.

Statistics and ProbabilityAssociation (object-oriented programming)05 social sciencesDale modelBivariate analysisLogistic regression01 natural sciencesbivariate ordered logistic modelSet (abstract data type)010104 statistics & probabilityordinal associationpenalized maximum likelihood estimation0502 economics and businessStatisticsCovariateDale model bivariate ordered logistic model penalized maximum likelihood estimation ordinal associationSettore SECS-S/05 - Statistica Sociale0101 mathematicsStatistics Probability and UncertaintyMarginal distributionSettore SECS-S/01 - Statistica050205 econometrics MathematicsOrdinal association
researchProduct

Sparse Sampling and Maximum Likelihood Estimation for Boolean Models

1991

A condition for practical independence of contact distribution functions in Boolean models is obtained. This result allows the authors to use maximum likelihcod methods, via sparse sampling, for estimating unknown parameters of an isotropic Boolean model. The second part of this paper is devoted to a simulation study of the proposed method. AMS classification: 60D05

Statistics and ProbabilityBiometricsBoolean modelIsotropySampling (statistics)General MedicineLikelihood-ratio testStatisticsMaximum satisfiability problemStatistics Probability and UncertaintyAlgorithmIndependence (probability theory)Standard Boolean modelMathematicsBiometrical Journal
researchProduct

Estimating the decomposition of predictive information in multivariate systems

2015

In the study of complex systems from observed multivariate time series, insight into the evolution of one system may be under investigation, which can be explained by the information storage of the system and the information transfer from other interacting systems. We present a framework for the model-free estimation of information storage and information transfer computed as the terms composing the predictive information about the target of a multivariate dynamical process. The approach tackles the curse of dimensionality employing a nonuniform embedding scheme that selects progressively, among the past components of the multivariate process, only those that contribute most, in terms of co…

Statistics and ProbabilityComputer scienceEntropyTRANSFER ENTROPYStochastic ProcesseInformation Storage and RetrievalheartAPPROXIMATE ENTROPYMaximum entropy spectral estimationInformation theoryGRANGER CAUSALITYJoint entropyNonlinear DynamicMECHANISMSBinary entropy functionTheoreticalHeart RateModelsInformationSLEEP EEGStatisticsOSCILLATIONSTOOLEntropy (information theory)Multivariate AnalysiElectroencephalography; Entropy; Heart Rate; Information Storage and Retrieval; Linear Models; Nonlinear Dynamics; Sleep; Stochastic Processes; Models Theoretical; Multivariate AnalysisConditional entropyStochastic ProcessesHEART-RATE-VARIABILITYCOMPLEXITYConditional mutual informationBrainElectroencephalographyModels TheoreticalScience GeneralCondensed Matter PhysicscardiorespiratoryNonlinear DynamicsPHYSIOLOGICAL TIME-SERIESSettore ING-INF/06 - Bioingegneria Elettronica E InformaticaMultivariate AnalysisLinear ModelsLinear ModelTransfer entropySleepAlgorithmStatistical and Nonlinear Physic
researchProduct

MLML2R: an R package for maximum likelihood estimation of DNA methylation and hydroxymethylation proportions.

2019

Abstract Accurately measuring epigenetic marks such as 5-methylcytosine (5-mC) and 5-hydroxymethylcytosine (5-hmC) at the single-nucleotide level, requires combining data from DNA processing methods including traditional (BS), oxidative (oxBS) or Tet-Assisted (TAB) bisulfite conversion. We introduce the R package MLML2R, which provides maximum likelihood estimates (MLE) of 5-mC and 5-hmC proportions. While all other available R packages provide 5-mC and 5-hmC MLEs only for the oxBS+BS combination, MLML2R also provides MLE for TAB combinations. For combinations of any two of the methods, we derived the pool-adjacent-violators algorithm (PAVA) exact constrained MLE in analytical form. For the…

Statistics and ProbabilityDNA HydroxymethylationEpigenomicsIterative methodMaximum likelihood03 medical and health sciencessymbols.namesake0302 clinical medicineGeneticsHumansMolecular Biology030304 developmental biologyMathematics0303 health sciencesLikelihood FunctionsComputational BiologyHigh-Throughput Nucleotide SequencingProbability and statisticsDNA MethylationComputational MathematicsR packageLagrange multiplierDNA methylationsymbolsIterative approximationAlgorithm030217 neurology & neurosurgeryStatistical applications in genetics and molecular biology
researchProduct

Maximum likelihood estimation for the exponential power function parameters

1995

This paper addresses the problem of obtaining maximum likelihood estimates for the three parameters of the exponential power function; the information matrix is derived and the covariance matrix is here presented; the regularity conditions which ensure asymptotic normality and efficiency are examined. A numerical investigation is performed for exploring the bias and variance of the maximum likelihood estimates and their dependence on sample size and shape parameter.

Statistics and ProbabilityEstimation theoryRestricted maximum likelihoodMaximum likelihood sequence estimationLikelihood principlesymbols.namesakeEstimation of covariance matricesModeling and SimulationStatisticsExpectation–maximization algorithmsymbolsFisher informationLikelihood functionMathematicsCommunications in Statistics - Simulation and Computation
researchProduct

Large deviations results for subexponential tails, with applications to insurance risk

1996

AbstractConsider a random walk or Lévy process {St} and let τ(u) = inf {t⩾0 : St > u}, P(u)(·) = P(· | τ(u) < ∞). Assuming that the upwards jumps are heavy-tailed, say subexponential (e.g. Pareto, Weibull or lognormal), the asymptotic form of the P(u)-distribution of the process {St} up to time τ(u) is described as u → ∞. Essentially, the results confirm the folklore that level crossing occurs as result of one big jump. Particular sharp conclusions are obtained for downwards skip-free processes like the classical compound Poisson insurance risk process where the formulation is in terms of total variation convergence. The ideas of the proof involve excursions and path decompositions for Mark…

Statistics and ProbabilityExponential distributionRegular variationRuin probabilityExcursionRandom walkDownwards skip-free processLévy processConditioned limit theoremTotal variation convergenceCombinatoricsInsurance riskPath decompositionIntegrated tailProbability theoryModelling and SimulationExtreme value theoryMaximum domain of attractionMathematicsStochastic processApplied MathematicsExtreme value theoryRandom walkSubexponential distributionModeling and SimulationLog-normal distributionLarge deviations theory60K1060F10Stochastic Processes and their Applications
researchProduct

SPECTRAL ANALYSIS WITH TAPERED DATA

1983

. A new method based on an upper bound for spectral windows is presented for investigating the cumulants of time series statistics. Using this method two classical results are proved for tapered data. In particular, the asymptotic normality for a class of spectral estimates including estimates for the spectral function and the covariance function is proved under integrability conditions on the spectra using the method of cumulants.

Statistics and ProbabilityMathematical optimizationCovariance functionSeries (mathematics)Applied MathematicsAsymptotic distributionMaximum entropy spectral estimationUpper and lower boundsSpectral lineApplied mathematicsSpectral analysisStatistics Probability and UncertaintyCumulantMathematicsJournal of Time Series Analysis
researchProduct