Volume 7, Issue 4 (2011) | Journal of Mathematics and Statistics

A Comparative Study of Block Preconditioners for Incompressible Flow Problems

Jia Liu — 2011-09-14

Journal of Mathematics and Statistics, Published online: 14 September 2011; doi:10.3844/jmssp.2011.255.261

Problem statement: We consider the numerical solvers for the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problems are considered. Approach: We used the Mark and Cell (MAC) disc...

The Importance of Numbers and the Need to Study Primes: The Prime Questions

Matthew Curtis — 2011-09-14

Journal of Mathematics and Statistics, Published online: 14 September 2011; doi:10.3844/jmssp.2011.262.269

Problem statement: The study of prime numbers is important today as it was in ancient times. The level of interest in any form of mathematics of students in Australian high schools is decreasing and f...

New Procedure to Improve the Order Selection of Autoregressive Time Series Model

Ali Hussein Al-Marshadi — 2011-09-14

Journal of Mathematics and Statistics, Published online: 14 September 2011; doi:10.3844/jmssp.2011.270.274

Problem statement: We propose new approach could be used to guide the selection of the "true" order of autoregressive model for different sample size. Approach: We used simulation study to compare fou...

Forecasting and Modelling Electricity Demand Using Anfis Predictor

M. Mordjaoui — 2011-09-14

Journal of Mathematics and Statistics, Published online: 14 September 2011; doi:10.3844/jmssp.2011.275.281

Problem statement: Load forecasting plays an important task in power system planning, operation and control. It has received an increasing attention over the years by academic researchers and practiti...

A New Approach Using Data Envelopment Analysis for Ranking Classification Algorithms

A. Bazleh — 2011-09-15

Journal of Mathematics and Statistics, Published online: 15 September 2011; doi:10.3844/jmssp.2011.282.288

Problem statement: A variety of methods and algorithms for classification problems have been developed recently. But the main question is that how to select an appropriate and effective classification...

Parameter Estimation for the Double Pareto Distribution

Faris M. Al-Athari — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.289.294

Problem statement: The double Pareto distribution appeared most often as model for variety of fields, including archaeology, biology, economics, environmental science, finance and physics. The distrib...

On the Dynamics of a General Predator-Prey System

M. M.A. El-Sheikh — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.295.301

Problem statement: In this study a general two dimensional predator-prey model is considered. The dynamic and existence of equilibrium points are studied. Conclusion/Recommendations: Hopf bifurcation ...

Markov Regime Switching Modelling and Analysis of Socially Responsible Investment Funds

Eduardo D. Roca — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.302.313

Problem statement: An increasing proportion of Australian superannuation funds are being placed in Socially Responsible Investments (SRI). Yet, there is no clarity in the literature as regards the ris...

Decompositions for Ordinal Quasi-Symmetry Model in Square Contingency Tables with Ordered Categories

Kouji Yamamoto — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.314.318

Problem statement: For square contingency tables with ordered categories, this study considers four kinds of extensions of the marginal homogeneity model and gives decompositions for the ordinal quasi...

Global Analysis of an Epidemic Model with Non-Linear Incidence Rate

S. A.A. El-Marouf — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.319.325

Problem statement: In this study the equilibrium points and their local stability are found for SIQ and SIQR epidemic models with three forms of the incidence rates. Also, we study the global stabilit...

Polynomial Interpolation in the Elliptic Curve Cryptosystem

Liew Khang Jie — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.326.331

Problem statement: In this research, we incorporate the polynomial interpolation method in the discrete logarithm problem based cryptosystem which is the elliptic curve cryptosystem. Approach: In this...

A Test for Two-Sample Repeated Measures Designs: Effect of High-Dimensional Data

Boonyarit Choopradit — 2011-10-28

Journal of Mathematics and Statistics, Published online: 28 October 2011; doi:10.3844/jmssp.2011.332.342

Problem statement: High-dimensional repeated measures data are increasingly encountered in various areas of modern science since classical multivariate statistics, e.g,. Hotelling’s T2, are not well...

Constrained Probabilistic Economic Order Quantity Model under Varying Order Cost and Zero Lead Time Via Geometric Programming

Kotb Abd-El-Hamid Mahmoud Kotb — 2011-11-03

Journal of Mathematics and Statistics, Published online: 3 November 2011; doi:10.3844/jmssp.2011.343.347

Problem statement: In this study, we provide a simple method to determine the inventory policy of probabilistic single-item Economic Order Quantity (EOQ) model, that has varying order cost and zero le...

Specification of the Outlier Univariate Model

N. P. Olewuezi — 2011-11-03

Journal of Mathematics and Statistics, Published online: 3 November 2011; doi:10.3844/jmssp.2011.348.352

Problem statement: An outlier is an observation that deviates so much from other observations so as to arouse suspicion that it was generated by a different mechanism. Approach: In this study, outlier...

Note on the Comparison of Some Outlier Labeling Techniques

N. P. Olewuezi — 2011-11-18

Journal of Mathematics and Statistics, Published online: 18 November 2011; doi:10.3844/jmssp.2011.353.355

Problem statement: Methods proposed for estimating and resolving outliers are compared. Approach: In this respect, we exploit three well-known classifiers for identifying outliers to establish guideli...