ABSTRACT: When comparing means of more than two groups, powers of two ranking methods for pairwise nonparametric simultaneous inference are compared, for various alternative hypotheses.

Lasso is a regularization method for parameter estimation in linear models. It optimizes the model parameters with respect to a loss function subject to model complexities. This paper explores the use ...

The numerical integration of stiff equations is a challenging problem that needs to be approached by specialized numerical methods. Exponential integrators form a popular class of such methods since ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

Sarah Buckley is an Honorary Senior Research Fellow in the Faculty of Education at the University of Melbourne and was on the academic advisory group for maths education app TownSquared. Sarah has ...

ABSTRACT: Accurately approximating higher order derivatives is an inherently difficult problem. It is shown that a random variable shape parameter strategy can improve the accuracy of approximating ...

Elena Prieto-Rodriguez receives funding from the NSW Department of Education to work with out-of-field teachers in mathematics. It is very common in Australian schools to “stream” students for ...

Abstract: A comparative analysis of the classical and approximation methods of spectral analysis of fast-variable processes in technical systems is carried out. It is shown that the approximation ...