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dc.contributor.authorZiegel, J.
dc.contributor.authorBaddeley, Adrian
dc.contributor.authorDorph-Petersen, K.
dc.contributor.authorJensen, E.
dc.date.accessioned2017-01-30T15:01:31Z
dc.date.available2017-01-30T15:01:31Z
dc.date.created2016-09-12T08:36:45Z
dc.date.issued2010
dc.identifier.citationZiegel, J. and Baddeley, A. and Dorph-Petersen, K. and Jensen, E. 2010. Systematic sampling with errors in sample locations. Biometrika. 97 (1): pp. 1-13.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/42701
dc.identifier.doi10.1093/biomet/asp067
dc.description.abstract

Systematic sampling of points in continuous space is widely used in microscopy and spatial surveys. Classical theory provides asymptotic expressions for the variance of estimators based on systematic sampling as the grid spacing decreases. However, the classical theory assumes that the sample grid is exactly periodic; real physical sampling procedures may introduce errors in the placement of the sample points. This paper studies the effect of errors in sample positioning on the variance of estimators in the case of one-dimensional systematic sampling. First we sketch a general approach to variance analysis using point process methods. We then analyze three different models for the error process, calculate exact expressions for the variances, and derive asymptotic variances. Errors in the placement of sample points can lead to substantial inflation of the variance, dampening of zitterbewegung, that is fluctuation effects, and a slower order of convergence. This suggests that the current practice in some areas of microscopy may be based on over-optimistic predictions of estimator accuracy. © 2010 Biometrika Trust.

dc.publisherOxford University Press
dc.titleSystematic sampling with errors in sample locations
dc.typeJournal Article
dcterms.source.volume97
dcterms.source.number1
dcterms.source.startPage1
dcterms.source.endPage13
dcterms.source.issn0006-3444
dcterms.source.titleBiometrika
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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