6533b862fe1ef96bd12c75a0

RESEARCH PRODUCT

Boolean Models: Maximum Likelihood Estimation from Circular Clumps

Francisco MontesJuan FerrándizGuillermo Ayala

subject

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

description

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.

yearjournalcountryeditionlanguage
1990-01-01Biometrical Journal
https://doi.org/10.1002/bimj.4710320112