Search results for "Boolean model"

showing 4 items of 14 documents

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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A nonstationary cylinder-based model describing group dispersal in a fragmented habitat

2014

International audience; A doubly nonstationary cylinder-based model is built to describe the dispersal of a population from a point source. In this model, each cylinder represents a fraction of the population, i.e., a group. Two contexts are considered: The dispersal can occur in a uniform habitat or in a fragmented habitat described by a conditional Boolean model. After the construction of the models, we investigate their properties: the first and second order moments, the probability that the population vanishes, and the distribution of the spatial extent of the population.

Statistics and ProbabilityPoint sourcePopulation92D25Spatial extentFragmentationStatisticsRandom cylinder92D30CylinderQuantitative Biology::Populations and EvolutionObject-based model[INFO]Computer Science [cs]Statistical physics60D05[MATH]Mathematics [math]educationMathematics60G60ta112education.field_of_studyBoolean modelApplied MathematicsFragmentation (computing)Boolean modelDispersal60K37HabitatModeling and Simulation60K9992D40Biological dispersalPopulation vanishing60G55Distribution (differential geometry)
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Hard-Core Thinnings of Germ‒Grain Models with Power-Law Grain Sizes

2013

Random sets with long-range dependence can be generated using a Boolean model with power-law grain sizes. We study thinnings of such Boolean models which have the hard-core property that no grains overlap in the resulting germ‒grain model. A fundamental question is whether long-range dependence is preserved under such thinnings. To answer this question, we study four natural thinnings of a Poisson germ‒grain model where the grains are spheres with a regularly varying size distribution. We show that a thinning which favors large grains preserves the slow correlation decay of the original model, whereas a thinning which favors small grains does not. Our most interesting finding concerns the c…

Statistics and ProbabilityRegular variationDisjoint sets02 engineering and technologyPoisson distribution60D05 60G55Power law01 natural sciencesmarked Poisson processsymbols.namesake010104 statistics & probabilityFOS: Mathematics0202 electrical engineering electronic engineering information engineeringgerm‒grain modelGermStatistical physics60D050101 mathematicsMathematicsta115ta114ThinningBoolean modelApplied MathematicsProbability (math.PR)ta111Boolean model020206 networking & telecommunicationsHard sphereshard-core modelsymbolsSPHERES60G55hard-sphere modelMathematics - ProbabilityAdvances in Applied Probability
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Distributed Consensus on Boolean Information

2009

Abstract In this paper we study the convergence towards consensus on information in a distributed system of agents communicating over a network. The particularity of this study is that the information on which the consensus is seeked is not represented by real numbers, rather by logical values or sets. Whereas the problems of allowing a network of agents to reach a consensus on logical functions of input events, and that of agreeing on set–valued information, have been separately addressed in previous work, in this paper we show that these problems can indeed be attacked in a unified way in the framework of Boolean distributed information systems. Based on a notion of contractivity for Bool…

Theoretical computer scienceDynamical systems theoryAnd-inverter graphConsensus theoremGeneral Medicinedistributed estimationUniform consensusBoolean networkSettore ING-INF/04 - AutomaticaConsensusInformation systemBoolean dynamics systemBoolean consensus algorithmStandard Boolean modelMathematics
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