In this article the problem of multiple hypotheses testing using a theory of large deviations is studied. The reliability matrix of Logarithmically Asymptotically Optimal (LAO) tests is introduced and described, and the conditions for the positive of all its elements are indicated.
"Large Deviations Techniques for Error Exponents to Multiple Hypothesis LAO Testing,"
Journal of Modern Applied Statistical Methods:
2, Article 13.
Available at: http://digitalcommons.wayne.edu/jmasm/vol6/iss2/13