This vignette is an updated version of Bornkamp, Pinheiro, and Bretz (2009) and describes the MCPMod package for the R programming environment. The package implements a methodology for the design and analysis of dose-response studies that combines aspects of multiple comparison procedures and modeling approaches (Bretz, Pinheiro, and Branson 2005). The package provides tools for the analysis of...

It is established that durational and structural aspects of actions can in general not be modeled in standard interleaving semantics, even when a time-consuming action is represented by a pair of instantaneous actions denoting its start and finish. By means of a series of counterexamples it is shown that, for any n, it makes a difference whether actions are split in n or in n+1 parts. ] 1997 Ac...

The purpose of this text is to provide a simple explanation about the main features of TBSSurvival package for R language. In short, we give some examples on how to use the package.

This paper studies notions of scalar relations and crispness of relations.

Let X be a Banach space. Set, for x ∈ X and r ≥ 0 U(x, r) = {y ∈ X : ||x− y|| = r}. Given a nonempty, bounded set A ⊂ X, we set r(A, x) = sup{||x−a|| : a ∈ A} (x ∈ X) (radius of A with respect to x); r(A) = inf{r(A; x) : x ∈ X} (radius of A); δ(A) = sup{||a− b|| : a, b ∈ A} (diameter of A). Clearly, δ(A) ≤ 2r(A) always. Define, for A, the following properties: A is diametral: r(A, x) = δ(A) for...

Call a domain R an sQQR-domain if each simple overring of R, i.e., each ring of the form R[u] with u in the quotient field of R, is an intersection of localizations of R. We characterize Prüfer domains as integrally closed sQQR-domains. In the presence of certain finiteness conditions, we show that the sQQR-property is very strong; for instance, a Mori sQQR-domain must be a Dedekind domain. We ...