Asymptotic properties of stereological estimators of volume fraction for stationary random sets

DOI10.2307/3213921zbMath0486.62090OpenAlexW4250231273MaRDI QIDQ3947015

Shigeru Mase

Publication date: 1982

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3213921

zbMATH Keywords

consistencyasymptotic normalityergodicityBoolean modelvariance estimationwindow functionunbiased estimatorstationary random setsstereological estimators of volume fraction

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Non-Markovian processes: estimation (62M09) Inference from stochastic processes and spectral analysis (62M15) Inference from stochastic processes (62M99)

Related Items (17)

Second Order Analysis of Geometric Functionals of Boolean Models ⋮ Asymptotic properties of minimum contrast estimators for parameters of Boolean models ⋮ Directional analysis of fibre processes related to Boolean models ⋮ Models of stochastic geometry ? A survey ⋮ Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes ⋮ A biologically based model for the analysis of premalignant foci of arbitrary shape ⋮ Joint estimators for the specific intrinsic volumes of stationary random sets ⋮ Asymptotic properties of estimators for the volume fractions of jointly stationary random sets ⋮ On estimating the asymptotic variance of stationary point processes ⋮ Large deviations of the empirical volume fraction for stationary Poisson grain models ⋮ Limit theorems for stationary tessellations with random inner cell structures ⋮ Central limit theorems for Poisson hyperplane tessellations ⋮ Unnamed Item ⋮ Central limit theorems for functionals of stationary germ-grain models ⋮ Kernel estimation of the diameter distribution in boolean models with spherical grains ⋮ Resampling a coverage pattern ⋮ Second-order properties and central limit theorems for geometric functionals of Boolean models

This page was built for publication: Asymptotic properties of stereological estimators of volume fraction for stationary random sets