Estadística. Problemas resuetos. Contrastes de Bondad de Ajuste para variables continuas, Kolmogorov-Smirnov

Ejercicio resuelto paso a paso sobre el contraste de bondad de ajuste a una distribución normal mediante el método de Kolmogorov-Smirnov.

Análisis de series temporales

Análisis de series temporales. Introducción. Características generales de las series temporales. Descomposición. Predicción. Modelos ARIMA y derivados.

Estadística. Problemas resueltos. Contraste de bondad de ajuste para variables discretas, Chi cuadrado

Ejercicio resuelto paso a paso sobre el contraste de bondad de ajuste en variables disctretas (en a una distribución de Poisson) a partir de Chi-cuadrado.

Aplicación de las nuevas metodologías docentes en la Estadística para las Ciencias Sociales

En el marco de implantación de los nuevos grados en la Universidad de Alicante, se ha potenciado la reestructuración y actualización de las metodologías docentes y de evaluación. La Estadística es un área de gran importancia en el estudio de las Ciencias Sociales y Jurídicas y en ocasiones presenta grandes dificultades de aprendizaje por parte de los estudiantes de titulaciones no técnicas. Con el fin de presentar al alumno un método nuevo en la adquisición y refuerzo del conocimiento estadístico, el Departamento de Estadística e Investigación Operativa de la Universidad de Alicante, que imparte docencia en los nuevos grados de Criminología, de Relaciones Laborales y Recursos Humanos y de Gestión y Administración Pública, todos ellos adscritos a la Facultad de Derecho, se ha esforzado en la renovación de temario, materiales y procedimientos de evaluación. En este trabajo exponemos nuestra primera experiencia acerca de la docencia de esta asignatura en los nuevos grados, así como una primera valoración de los resultados obtenidos, mostrando un análisis exhaustivo de dichos resultados, comparándolos con los obtenidos en los últimos cursos de los antiguos planes y proponiendo mejoras en los puntos débiles encontrados.

Creando presentaciones con Beamer

Introducción al paquete Beamer para crear nuestras primeras presentaciones.

Random exams using Sweave

The adaptation of the Spanish University to the European Higher Education Area (EEES in Spanish) demands the integration of new tools and skills that would make the teaching- learning process easier. This adaptation involves a change in the evaluation methods, which goes from a system where the student was evaluated with a final exam, to a new system where we include a continuous evaluation in which the final exam may represent at most 50% in the vast majority of the Universities. Devising a new and fair continuous evaluation system is not an easy task to do. That would mean a student’s’ learning process follow-up by the teachers, and as a consequence an additional workload on existing staff resources. Traditionally, the continuous evaluation is associated with the daily work of the student and a collection of the different marks partly or entirely based on the work they do during the academic year. Now, small groups of students and an attendance control are important aspects to take into account in order to get an adequate assessment of the students. However, most of the university degrees have groups with more than 70 students, and the attendance control is a complicated task to perform, mostly because it consumes significant amounts of staff time. Another problem found is that the attendance control would encourage not-interested students to be present at class, which might cause some troubles to their classmates. After a two year experience in the development of a continuous assessment in Statistics subjects in Social Science degrees, we think that individual and periodical tasks are the best way to assess results. These tasks or examinations must be done in classroom during regular lessons, so we need an efficient system to put together different and personal questions in order to prevent students from cheating. In this paper we provide an efficient and effective way to elaborate random examination papers by using Sweave, a tool that generates data, graphics and statistical calculus from the software R and shows results in PDF documents created by Latex. In this way, we will be able to design an exam template which could be compiled in order to generate as many PDF documents as it is required, and at the same time, solutions are provided to easily correct them.

Is Maths everywhere? Our students respond

Mathematics expresses itself everywhere, in almost every facet of life - in nature all around us, and in the technologies in our hands. Mathematics is the language of science and engineering - describing our understanding of all that we observe. In fact, Galileo said that Mathematics is the language with which God has written the universe. Aristotle defined mathematics as "the science of quantity", i.e., “the science of the things that can be counted”. Now you can think that counting has a vital role in our daily life; just imagine that there were no mathematics at all, how would it be possible for us to count days, months and years? Unfortunately, people usually ignore the connection between mathematics and the daily life. Most of university degrees require mathematics. Students who choose not to take seriously mathematics or to ignore it in high school, find several difficulties when they come up against them at the university. This study explores the perceptions of how mathematics influences our daily life among our students and how teachers can use this information in order to improve the academic performance. The used research instrument was a questionnaire that was designed to identify their understanding on learning mathematics.

Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems

The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp. finite-dimensional) Banach spaces and that are indexed by an arbitrary fixed set J. Parameter perturbations on the right-hand side of the inequalities are required to be merely bounded, and thus the natural parameter space is l ∞(J). Our basic strategy consists of linearizing the parameterized convex system via splitting convex inequalities into linear ones by using the Fenchel–Legendre conjugate. This approach yields that arbitrary bounded right-hand side perturbations of the convex system turn on constant-by-blocks perturbations in the linearized system. Based on advanced variational analysis, we derive a precise formula for computing the exact Lipschitzian bound of the feasible solution map of block-perturbed linear systems, which involves only the system’s data, and then show that this exact bound agrees with the coderivative norm of the aforementioned mapping. In this way we extend to the convex setting the results of Cánovas et al. (SIAM J. Optim. 20, 1504–1526, 2009) developed for arbitrary perturbations with no block structure in the linear framework under the boundedness assumption on the system’s coefficients. The latter boundedness assumption is removed in this paper when the decision space is reflexive. The last section provides the aimed application to the convex case.