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Variance estimation for generalized Cavalieri estimators

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

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.

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  • Johanna Ziegel & Eva B. Vedel Jensen & Karl-Anton Dorph-Petersen, 2011. "Variance estimation for generalized Cavalieri estimators," Biometrika, Biometrika Trust, vol. 98(1), pages 187-198.
    • Handle: RePEc:oup:biomet:v:98:y:2011:i:1:p:187-198
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    File URL: http://hdl.handle.net/10.1093/biomet/asq064
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