The goal of this study is to introduce a statistical method regarding the analysis of specific latent data for regression analysis of the discrete data and to build a relation between a probit regression model (related to the discrete response) and normal linear regression model (related to the latent data of continuous response). This method provides precise inferences on binary and multinomia...

A numerical method developed by Versteeg et al. (1989, Chem. Engng Sci. 44, 2295-2310; 1990, Chem. Engng Sci. 45, in press) is applied to the absorption of CO, into amine-promoted carbonate solutions. The experimental results of Savage et al. (1984, Faraday Discuss. them. Sot. 77, 17-31) are evaluated with the numerical model. It is shown that a rigorous numerical solution of the differential e...

INTRODUCTION........................................................................................................................... 1 OVERVIEW OF ATMOSPHERIC VOC OXIDATION ............................................................... 2 CURRENT STATE OF KNOWLEDGE ........................................................................................ 4 Inorganic Reactions.....................

The behavioral equivalence that is typically used to relate Markovian process terms and to reduce their underlying state spaces is Markovian bisimilarity. One of the reasons is that Markovian bisimilarity is consistent with ordinary lumping. The latter is an aggregation for Markov chains that is exact, hence it guarantees the preservation of the performance characteristics across Markovian bisi...

Literary reports on dystonia date back to post-Medieval times. Medical reports are instead more recent. We review here the early descriptions and the historical establishment of a consensus on the clinical phenomenology and the diagnostic features of dystonia syndromes. Lumping and splitting exercises have characterized this area of knowledge, and it remains largely unclear how many dystonia ty...

Synthesis of proteins is one of the most fundamental biological processes, which consumes a significant amount of cellular resources. Despite many efforts to produce detailed mechanistic mathematical models of translation, no basic and simple kinetic model of mRNA lifecycle (transcription, translation and degradation) exists. We build such a model by lumping multiple states of translated mRNA i...

In this paper we study the metastable behavior of one of the simplest disordered spin system, the random field Curie-Weiss model. We will show how the potential theoretic approach can be used to prove sharp estimates on capacities and metastable exit times also in the case when the distribution of the random field is continuous. Previous work was restricted to the case when the random field tak...