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Multiple Testing Procedures under dependence, with applications - Alessio Farcomeni

English
2009-10-21
€87.96 €109.95

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Multiple hypothesis testing is concerned with maintaining low the number of false positives when testing several hypotheses simultaneously, while achieving a number of false negatives as small as possible. Procedures should be distribution free and robust with respect to known or possibly unknown dependence. This thesis is related to modern approaches. After a review of the most recent developments, we prov ... Full description

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Description

Multiple hypothesis testing is concerned with maintaining low the number of false positives when testing several hypotheses simultaneously, while achieving a number of false negatives as small as possible. Procedures should be distribution free and robust with respect to known or possibly unknown dependence. This thesis is related to modern approaches. After a review of the most recent developments, we prove robustness of certain procedures under weak dependence. We then propose a new class of procedures and estimators for the proportion of false null hypotheses, i.e., the strength of the simoultaneous signal. In order to develop our findings, we provide probability inequalities and related tools under dependence. We show a pletora of applications. Main motivating applications are in the field of genomics, but we also show an innovating application to signal and image reconstruction through wavelet thresholding.

More Information

Author Alessio Farcomeni
Publisher VDM Verlag
Release year 2009
Cover type Softcover
EAN 9783639096279
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€87.96 €109.95