Simultaneous Statistical Inference - Thorsten Dickhaus

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Résumé :
This monograph will provide an in-depth mathematical treatment of modern multiple test procedures controlling the false discovery rate (FDR) and related error measures, particularly addressing applications to fields such as genetics, proteomics, neuroscience and general biology. The book will also include a detailed description how to implement these methods in practice. Moreover new developments focusing on non-standard assumptions are also included, especially multiple tests for discrete data. The book primarily addresses researchers and practitioners but will also be beneficial for graduate students.

Biographie:
Thorsten Dickhaus obtained his Ph.D. in mathematics from the Heinrich Heine University, D?sseldorf, Germany in 2008. He held postdoc positions at the German Diabetes Center D?sseldorf and Berlin Institute of Technology. In 2010 he became a Junior Professor of Mathematical Statistics at the Humboldt University of Berlin, Germany. Since 2015 he has been a Full Professor of Mathematical Statistics at the University of Bremen, Germany....

Sommaire:
The problem of simultaneous inference.- Part I General Theory.- Some theory of p-values.- Classes of multiple test procedures.- Simultaneous test procedures.- Stepwise rejective multiple tests.- Multiple testing and binary classification.- Multiple testing and model selection.- Software solutions for multiple hypotheses testing.- Part II From Genotype to Phenotype.- Genetic association studies.- Gene expression analyses.- Functional magnetic resonance imaging.- Part III Further Applications in the Life Sciences.- Further life science applications.