Multiple Testing Procedures under dependence, with applications (Paperback) (ISBN-13: 9783639096279)

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.

Author: Alessio Farcomeni
ISBN-10: 3639096274
ISBN-13: 9783639096279
Publisher: VDM Verlag
Language: English
Published: 10/21/2009
Pages: 144
Format: Paperback
Weight: 0.49lbs
Size: 9.00h x 6.00w x 0.34d