Although the least squares estimate is the linear unbiased estimate with minimum variance, it is possible that a biased estimate will give us a better mean squared error. Consider a case where the true model is Y = β0 + β1X1 + β2X2 + and that X1 and X2 are almost perfectly correlated (statisticians say X1 and X2 are co-linear). What happens if we leave X2 out? Then the model is very well approx...

In this paper, let Σ ⊂ R be a compact convex hypersurface. We prove that if Σ carries only finitely many geometrically distinct closed characteristics, then at least two of them must possess irrational mean indices. Moreover, if Σ carries exactly three geometrically distinct closed characteristics, then at least two of them must be elliptic.

A new method is proposed for estimating derivatives of a nonparametric regression function. By applying Taylor expansion technique to a derived symmetric difference sequence, we obtain a sequence of approximate linear regression representation in which the derivative is just the intercept term. Using locally weighted least squares, we estimate the derivative in the linear regression model. The ...

One of important part on speaker identification is the measurement of sound similarity. This study has compared two of the similarity measurement techniques in the noisy voice.First techniqueis done by using smallest vector sum of pairs and second technique is done by using frequency of occurrence of smallest vector pairs. Noise in the voice can reduce accuracy of speaker identification signifi...

Seit 2002 forciert der Fachbereich (FB) Wirtschaftswissenschaften der JLU Gießen das Angebot von Online-Services. Alle Informationen zum FB und Studium werden öffentlich im sog. WiWi-Portal angeboten. Das gesamte Lehrveranstaltungsangebot des FB, inkl. aller Begleitmaterialien, wird den Studierenden personalisiert, transparent und umfassend in ihrem individuellen SPIC (Students‘ Personal Inform...

This paper presents challenges and opportunities for an academic library to increasing its presence in an online learning management system (LMS). Successful examples from Athabasca University, Canada’s Open University will highlight the benefits of a collaborative team approach to course development and LMS software applications. This case study demonstrates how an academic library can partici...

In this paper we describe pedagogic scenarios where the use of a video annotation tool could be of added value to the students’ overall learning process. Furthermore, we introduce ViLM, a platform-independent tool for annotating videos collaboratively or on its own and how we integrated the tool in our university’s LMS. Finally, we characterise potential research opportunities and learning scen...