Families of periodic horseshoe orbits in the restricted three-body problem

We compute families of symmetric periodic horseshoe orbits in the restricted three-body problem. Both the planar and three-dimensional cases are considered and several families are found.We describe how these families are organized as well as the behavior along and among the families of parameters such as the Jacobi constant or the eccentricity. We also determine the stability properties of individual orbits along the families. Interestingly, we find stable horseshoe-shaped orbit up to the quite high inclination of 17◦

Compositional ideas in the bayesian analysis of categorical data with application to dose finding clinical trials

Compositional random vectors are fundamental tools in the Bayesian analysis of categorical data. Many of the issues that are discussed with reference to the statistical analysis of compositional data have a natural counterpart in the construction of a Bayesian statistical model for categorical data. This note builds on the idea of cross-fertilization of the two areas recommended by Aitchison (1986) in his seminal book on compositional data. Particular emphasis is put on the problem of what parameterization to use

Application of discriminant function analysis and change-point problem in dating volcanic ashes

The application of Discriminant function analysis (DFA) is not a new idea in the study of tephrochrology. In this paper, DFA is applied to compositional datasets of two different types of tephras from Mountain Ruapehu in New Zealand and Mountain Rainier in USA. The canonical variables from the analysis are further investigated with a statistical methodology of change-point problems in order to gain a better understanding of the change in compositional pattern over time. Finally, a special case of segmented regression has been proposed to model both the time of change and the change in pattern. This model can be used to estimate the age for the unknown tephras using Bayesian statistical calibration

The Syntactic Information in the 'Diccionario Crítico Etimológico Castellano e Hispánico' by J. Corominas and J.A. Pascual as Expressed in the Database 'Syntax.Dbf'

L'objectiu d'aquest article és presentar l'estructura de la base de dades relacional que inclou tota la informació sintictica continguda en el Diccionario Critico Etimológico Castellano e Hispánico de J. Corominas i J. A. Pascual. Tot i que aquest diccionari conté un ampli ventall d'informacions històriques de cadascun dels temes, aquestes no es mostren de forma estructurada, per la qual cosa ha estat necessari estudiar i classificar tots aquells elements relacionats amb aspectes sintàctics. És a partir d'aquest estudi previ que s'han elaborat els diferents camps de la base de dades, els quals s'agrupen en cinc blocs temàtics: informació lemàtica; gramatical; sintàctica; altres aspectes relacionats; i observacions o comentaris rellevants fets per l'investigador. Aquesta base de dades no només reprodueix els continguts del diccionari, sinó que inclou diferents camps interpretatius. Per aquesta raó, Syntax. dbf representa una eina de treball fonamental per a tots aquells investigadors interessats en la sintaxi diacrònica de l'espanyol