In linear models and multivariate normal situations, prior information in linear inequality form may be encountered, or linear inequality hypotheses may be subjected to statistical tests. R package ic.infer has been developed to support inequality-constrained estimation and testing for such situations. This article gives an overview of the principles underlying inequality-constrained inference ...

In this paper the necessary and sufficient conditions are given for the solution of a system of parameter varying linear inequalities of the form ( ) ( ) t t ≥ A x b for all t T ∈ , where T is an arbitrary set, x is the unknown vector, ( ) t A is a known triangular Toeplitz matrix and ( ) t b is a known vector. For every t T ∈ the corresponding inequality defines a polyhedron, in which the solu...

In this paper the necessary and sufficient conditions are given for the solution of a system of parameter varying linear inequalities of the form A (t)x ≥ b (t) for all t ∈ T , where T is an arbitrary set, x is the unknown vector, A (t) is a known triangular Toeplitz matrix and b (t) is a known vector. For every t ∈ T the corresponding inequality defines a polyhedron, in which the solution shou...

To verify whether a transferable utility game is exact, one has to check a linear inequality for each exact balanced collection of coalitions. This paper studies the structure and properties of the class of exact balanced collections. Comparing the definition of exact balanced collections with the definition of balanced collections, the weight vector of a balanced collection must be positive wh...