Higher order asymptotic deals with two sorts of closely related things. First, there are questions of approximation. One is concerned with expan- sions or inequalities for a distribution function. Second, there are inferential ...

In this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect ...

This paper deals with the asymptotic stability analysis of a discrete dynamical inclusion whose right-hand side is a convex process. We provide necessary and sufficient conditions for weak asymptotic stability, and obtain ...

Existence of solutions for a nonlinear fourth order ordinary differential equation arising in beam theory is considered. We obtain solutions by a degree argument under a non-asymptotic condition on the nonlinear terms ...

In this paper we analyze the location of the zeros of polynomials orthogonal with respect to the inner product where α >-1, N ≥ 0, and j ∈ N. In particular, we focus our attention on their interlacing properties with respect ...

The exact probability distribution of estimators for finite samples is only available in convenient form for simple functions of the data and when the likelihood function is completely speci.ed. Frequently, these conditions ...