2,626 research outputs found
Multiple testing procedures under confounding
While multiple testing procedures have been the focus of much statistical
research, an important facet of the problem is how to deal with possible
confounding. Procedures have been developed by authors in genetics and
statistics. In this chapter, we relate these proposals. We propose two new
multiple testing approaches within this framework. The first combines
sensitivity analysis methods with false discovery rate estimation procedures.
The second involves construction of shrinkage estimators that utilize the
mixture model for multiple testing. The procedures are illustrated with
applications to a gene expression profiling experiment in prostate cancer.Comment: Published in at http://dx.doi.org/10.1214/193940307000000176 the IMS
Collections (http://www.imstat.org/publications/imscollections.htm) by the
Institute of Mathematical Statistics (http://www.imstat.org
Vacuum Expectation Value of the Higgs Field and Dyon Charge Quantisation from Spacetime Dependent Lagrangians
The spacetime dependent lagrangian formalism of references [1-2] is used to
obtain is used to obtain a classical solution of Yang-Mills theory. This is
then used to obtain an estimate of the vacuum expectation value of the Higgs
field,{\it viz.} , where is a constant and is the
Yang-Mills coupling (related to the usual electric charge).The solution can
also accommodate non-commuting coordinates on the boundary of the theory which
may be used to construct -brane actions. The formalism is also used to
obtain the Deser-Gomberoff-Henneaux-Teitelboim results [10] for dyon charge
quantisation in abelian -form theories in dimensions for both
even and odd . PACS: 11.15.-q,11.27.+d,11.10.EfComment: Latex, 15 pages, a comprehensive paper incorporating material of
hep-th/0210051, hence title and abstracts modified, typos correcte
Three-Point Functions of Non-Unitary Minimal Matter Coupled to Gravity
The tree-level three-point correlation functions of local operators in the
general minimal models coupled to gravity are calculated in the
continuum approach. On one hand, the result agrees with the unitary series
(); and on the other hand, for , we find agreement with the
one-matrix model results.Comment: 14 page
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