publication . Article . 2011

Variance estimation for generalized Cavalieri estimators

Ziegel, Johanna; Jensen, Eva B. Vedel; Dorph-Petersen, Karl-Anton;
Open Access
  • Published: 31 Jan 2011 Journal: Biometrika, volume 98, pages 187-198 (issn: 0006-3444, eissn: 1464-3510, Copyright policy)
  • Publisher: Oxford University Press (OUP)
Abstract
The precision of stereological estimators based on systematic sampling is 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. Copyright 2011, Oxford University Press.
Subjects
free text keywords: Agricultural and Biological Sciences (miscellaneous), Statistics, Probability and Uncertainty, Statistics and Probability, Applied Mathematics, General Agricultural and Biological Sciences, General Mathematics, Estimator, Systematic sampling, Moment measure, Bootstrapping (statistics), Econometrics, Stratified sampling, Point process, Sampling (statistics), Mathematics, Delta method, Statistics
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publication . Article . 2011

Variance estimation for generalized Cavalieri estimators

Ziegel, Johanna; Jensen, Eva B. Vedel; Dorph-Petersen, Karl-Anton;