Search results for "Maximum likelihood sequence estimation"

showing 4 items of 4 documents

An algorithm for earthquakes clustering based on maximum likelihood

2007

In this paper we propose a clustering technique set up to separate and find out the two main components of seismicity: the background seismicity and the triggered one. We suppose that a seismic catalogue is the realization of a non homogeneous space-time Poisson clustered process, with a different parametrization for the intensity function of the Poisson-type component and of the clustered (triggered) component. The method here proposed assigns each earthquake to the cluster of earthquakes, or to the set of independent events, according to the increment to the likelihood function, computed using the conditional intensity function estimated by maximum likelihood methods and iteratively chang…

business.industryPattern recognitionMaximum likelihood sequence estimationPoisson distributionPoint processPhysics::Geophysicssymbols.namesakeCURE data clustering algorithmsymbolsETAS model earthquakes point process clusteringArtificial intelligenceSettore SECS-S/01 - Statisticaclustering earthquakesCluster analysisLikelihood functionbusinessAlgorithmPoint processes conditional intensity function likelihood function clustering methodRealization (probability)k-medians clusteringMathematics
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An approximation to maximum likelihood estimates in reduced models

1990

SUMMARY An approximation to the maximum likelihood estimates of the parameters in a model can be obtained from the corresponding estimates and information matrices in an extended model, i.e. a model with additional parameters. The approximation is close provided that the data are consistent with the first model. Applications are described to log linear models for discrete data, to models for multivariate normal distributions with special covariance matrices and to mixed discrete-continuous models.

Statistics and ProbabilityRestricted maximum likelihoodApplied MathematicsGeneral MathematicsMaximum likelihoodMultivariate normal distributionMaximum likelihood sequence estimationCovarianceAgricultural and Biological Sciences (miscellaneous)Extended modelStatisticsExpectation–maximization algorithmLog-linear modelStatistics Probability and UncertaintyGeneral Agricultural and Biological SciencesMathematicsBiometrika
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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
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Boolean Models: Maximum Likelihood Estimation from Circular Clumps

1990

This paper deals with the problem of making inferences on the maximum radius and the intensity of the Poisson point process associated to a Boolean Model of circular primary grains with uniformly distributed random radii. The only sample information used is observed radii of circular clumps (DUPAC, 1980). The behaviour of maximum likelihood estimation has been evaluated by means of Monte Carlo methods.

Statistics and ProbabilityMathematical optimizationEstimation theoryBoolean modelMonte Carlo methodMathematical analysisGeneral MedicineRadiusMaximum likelihood sequence estimationPoisson point processBoolean expressionStatistics Probability and UncertaintyIntensity (heat transfer)MathematicsBiometrical Journal
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