The precision of stereological estimators based on systematic sampling is a question of great practical importance. This paper presents methods of data-based variance estimation for generalized Cavalieri estimators where errors in sampling positions may occur. Variance estimators are derived under perturbed systematic sampling, systematic sampling with cumulative errors and systematic sampling with random dropouts.
Keywords: Asymptotic variance; Cavalieri estimator; Cumulative error; Moment measure; Perturbed systematic sampling; Point process; Spatial statistics; Stereology.