Könyv Multiple Testing Procedures under dependence, with applications Alessio Farcomeni

Multiple Testing Procedures under dependence, with applications

Nyelv: Angol
Kötés: Puha kötésű
Kiadó: VDM Verlag
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
23 349 Ft
Multiple hypothesis testing is concerned with maintaining low the number of false positives when tes...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2009
oldal
144
EAN
9783639096279
ISBN
3639096274
Enbook ID
06818673
Kiadó
Súly
222
Méretek
152 x 229 x 9

Teljes leírás

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.

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