Asymptotic Optimality Theory for Testing Problems with Restricted Alternatives.

Asymptotic Optimality of Nonparametric Tests for Restricted Alternatives in Multivariate Mixed Models

Asymptotic Distribution of Ui - Lmpr Tests for Restricted Alternatives

For testing against some restricted alternatives, in the light of the most stringency and somewhere most powerful character, the UI-LMPR tests are asymptotically optimal. The asymptotic distribution theory of such UI-LMPR test statistics is developed , and the same is incorporated in the comparative study of the asymptotic powers of the restricted UI-LMPR tests and their unrestricted versions (...

To “ on the Asymptotic Optimality of Empirical Likelihood for Testing

co(A): the convex hull of a set A, supp(Q): the support of a measure Q ∈ M, suppP(g(X θ)): the support of g(X θ) when X is distributed according to P ∈ M, s(Q θ): the dimension of the co(suppP(g(X θ))). The principal challenge in deriving our optimality result is establishing part (a) of Theorem 3.1. For ease of exposition, we provide an outline of the proof of this claim before its formal deri...

Universit a Di Pisa Testing Optimality for Quadratic 0-1 Problems Testing Optimality for Quadratic 0-1 Problems 1

The issue tackled is testing whether a given solution of a quadratic 0-1 problem is optimal. The paper presents an algorithm based on the necessary and sufficient optimality condition introduced by Hirriart-Urruty for general convex problems. A measure of the quality of the solution is provided. Computational results show the applicability of the method. The method is extended to constrained qu...

Urinary Neurotransmitter Testing: Problems and Alternatives

The attention that urine-testing companies have recently drawn to the importance of amino acid therapy for neurotransmitter restoration has been of great value, especially in light of our nation’s epidemic rates of depression, anxiety, insomnia, and carbohydrate addiction. By introducing clinicians to the extraordinary ability of targeted amino acid supplements to quickly reverse these conditio...