Multivariate Poisson distributions associated with Boolean models

DOI10.1007/s00184-016-0576-xzbMath1385.60022OpenAlexW2331442479MaRDI QIDQ310055

Christian Bräu, Lothar Heinrich

Publication date: 7 September 2016

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-32318

zbMATH Keywords

generating functionalrandom closed setsempirical volume fractionhigher-order covariancesindependently marked Poisson processmultivariate probability generating function

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Point estimation (62F10) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)

Cites Work

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• On Infinitely Divisible Random Vectors
• Stochastic and Integral Geometry
• Ergodic theorems for spatial processes
• On existence and mixing properties of germ-grain models
• Asymptotic properties of estimators for the volume fractions of jointly stationary random sets
• Central limit theorem for a class of random measures associated with germ-grain models

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