Volume 3, Issue 2 (2007) | Journal of Mathematics and Statistics

On the Probability Density Function of the Test Statistic for One Nonlinear GLR Detector Arising from fMRI

Fangyuan Nan — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.38.43

Recently an important and interesting nonlinear generalized likelihood ratio (GLR) detector emerged in functional magnetic resonance imaging (fMRI) data processing. However, the study of that detector...

Forecasting Air Temperatures Using Time Series Models and Neural-based Algorithms

Mahmoud M. Smadi — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.44.48

Recently, neural network models have been popular and found useful for forecasting a wide variety of time series data in many disciplines. This is due to their favorable modeling properties of simplic...

Abstract Fixed Points of Set-valued Mappings

E. El. Shobaky — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.49.53

We defined new concept of complete sequences of equivalence relations on a given abstract set on which no topology is considered, the concept of contraction mappings with respect to these sequences, p...

Fixed Points of Non-expansive Operators on Weakly Cauchy Normed Spaces

Sahar Mohamed Ali — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.54.57

We proved the existence of fixed points of non-expansive operators defined on weakly Cauchy spaces in which parallelogram law holds, the given normed space is not necessarily be uniformly convex Banac...

Multistage Median Ranked Set Sampling for Estimating the Population Median

Abdul Aziz Jemain — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.58.64

We modify RSS to come up with new sampling method, namely, Multistage Median Ranked Set Sampling (MMRSS). The MMRSS was suggested for estimating the population median and to increase the efficiency of...

Induction Motor Flux Estimation using Nonlinear Sliding Observers

Hakiki Khalid — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.65.69

A nonlinear sliding flux was proposed for an induction motor. Its dynamic observation errors converge asymptotically to zero, independently from the inputs. The aim of this work was to study the robus...

A Priori Estimation of the Resolvent on Approximation of Born-Oppenheimer

Sabria Bouheroum-Mentri — 2007-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2007; doi:10.3844/jmssp.2007.70.76

In this study, we estimate the resolvent of the two bodies Shrodinger operator perturbed by a potential of Coulombian type on Hilbert space when h tends to zero. Using the Feschbach method, we first ...