Asymptotic properties of estimators for the volume fractions of jointly stationary random sets

DOI10.1111/j.1467-9574.2004.00267.xzbMath1061.62150OpenAlexW2013671217MaRDI QIDQ4665349

Volker Schmidt, Stephan Böhm, Lothar Heinrich

Publication date: 11 April 2005

Published in: Statistica Neerlandica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9574.2004.00267.x

zbMATH Keywords

consistencycovariance matrixfrequency of coveragestationary vector field

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Inference from spatial processes (62M30) Random fields; image analysis (62M40)

Related Items (6)

Multivariate Poisson distributions associated with Boolean models ⋮ Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks ⋮ Joint estimators for the specific intrinsic volumes of stationary random sets ⋮ Limit theorems for stationary tessellations with random inner cell structures ⋮ Central limit theorems for Poisson hyperplane tessellations ⋮ Central limit theorems for functionals of stationary germ-grain models

Cites Work

• An introduction to the theory of point processes
• A new algorithmic approach to the computation of Minkowski functionals of polyconvex sets
• Asymptotic properties of stereological estimators of volume fraction for stationary random sets
• Statistics for Spatial Data
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