Under a partly linear model we study a family of robust estimates for the regression parameter and the regression function when some of the predictors take values on a Riemannian manifold. We obtain the consistency and the asymptotic normality of the proposed estimators. Simulations and an application to a real dataset show the good performance of our proposal under small samples and contamination.
This is a set of notes for the first two chapters of an Abstract Algebra course, following the Hungerford textbook table of contents.
One notable feature is the use of a couple of commands that allow one to show only definitions, or only the examples, etc., and another command that allows one to format examples for making handouts.
The XITS fonts provide a Times-like serif typeface for mathematical and scientific publishing. They provide a version of the STIX fonts enriched with the OpenType MATH extension, making them suitable for high quality mathematical typesetting with XeTeX and LuaTeX. XITS fonts are free and open source.
In this we examine the concept of the dimension of fractals, extending the idea of integer dimension to fractals, which we define and investigate here in. Moving on we consider the Minkowski dimension, sometimes referred to as the "box dimension", of a fractal. We then continue to define and examine another type of dimension; the Hausdorff dimension. We then investigate under what conditions these are equal finally moving on to prove Hutchinsons Theorem,
Suggestion de modèle pour faire un devoir ou un travail pratique dans le cadre d'un cours au département de mathématiques et statistique à l'Université Laval.