Title
Optimally Distinguishable Distributions: a New Approach to Composite Hypothesis Testing With Applications to the Classical Linear Model
Abstract
The newest approach to composite hypothesis testing proposed by Rissanen relies on the concept of optimally distinguishable distributions (ODD). The method is promising, but so far it has only been applied to a few simple examples. We derive the ODD detector for the classical linear model. In this framework, we provide answers to the following problems that have not been previously investigated in the literature: i) the relationship between ODD and the widely used Generalized Likelihood Ratio Test (GLRT); ii) the connection between ODD and the information theoretic criteria applied in model selection. We point out the strengths and the weaknesses of the ODD method in detecting subspace signals in broadband noise. Effects of the subspace interference are also evaluated.
Year
DOI
Venue
2009
10.1109/TSP.2009.2017568
IEEE Transactions on Signal Processing
Keywords
Field
DocType
information theory,maximum likelihood estimation,classical linear model,composite hypothesis testing,generalized likelihood ratio test,information theoretic criteria,minimum description length,optimally distinguishable distributions,Generalized likelihood ratio test,information theoretic criteria,linear model,minimum description length,optimally distinguishable distributions
Information theory,Combinatorics,Mathematical optimization,Likelihood-ratio test,Detection theory,Subspace topology,Linear model,Minimum description length,Model selection,Algorithm,Statistical hypothesis testing,Mathematics
Journal
Volume
Issue
ISSN
57
7
1053-587X
Citations 
PageRank 
References 
2
0.44
11
Authors
2
Name
Order
Citations
PageRank
Seyed Alireza Razavi1427.77
Ciprian Doru Giurcaneanu283.84