Multiple Testing Procedures under dependence, with applications (Paperback)

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.

General

Imprint:	VDM Verlag
Country of origin:	Germany
Release date:	October 2009
First published:	October 2009
Authors:	Alessio Farcomeni
Dimensions:	229 x 152 x 9mm (L x W x T)
Format:	Paperback - Trade
Pages:	144
ISBN-13:	978-3-639-09627-9
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Promotions
LSN:	3-639-09627-4
Barcode:	9783639096279

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!