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1987 | OriginalPaper | Chapter

Estimation in the Presence of Nuisance Parameters

Author : Ludger Rüschendorf

Published in: Contributions to Stochastics

Publisher: Physica-Verlag HD

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We consider MVUE and median unbiased estimation in the presence of nuisance parameters. For several different situations sufficient assumptions are formulated guaranteeing that conditionality and marginalization principles lead to optimal estimators. We also discuss some related questions such as the maximality of ancillary statistics, completeness in markovian models, and a generalization of the independence of complete sufficient statistics and ancillary statistics due to Basu.

Metadata
Title
Estimation in the Presence of Nuisance Parameters
Author
Ludger Rüschendorf
Copyright Year
1987
Publisher
Physica-Verlag HD
DOI
https://doi.org/10.1007/978-3-642-46893-3_20