Volume 6, Issue 2 (2010) | Journal of Mathematics and Statistics

Solving One-Dimensional Cutting Stock Problem with Discrete Demands and Capacitated Planning Objective

Sirirat Wongprakornkul — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.79.83

Problem statement: One-dimensional cutting stock problem with discrete demands and capacitated planning objective is an NP hard problem. Approach: The mathematical model with column-generation techniq...

Bootstrap Method for Dependent Data Structure and Measure of Statistical Precision

T. O. Olatayo — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.84.88

Problem statement: This article emphasized on the construction of valid inferential procedures for an estimator θ^ as a measure of its statistical precision for dependent data structure. Approach: T...

The Conditional Sequence Information Function

Osman Guzide — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.89.91

Problem statement: A great deal of attention has been given to the theory of information. It has found its applications in science especially in the area of Biothecnology. Previous studies on the subj...

Model for Analyzing Counts with Over-,Equi-and Under-Dispersion in Actuarial Statistics

Naushad Mamode Khan — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.92.95

Problem statement: Actuarial science has grown much popularity in the recent years due to the growth of insurance companies. In practice, the data involved in actuarial science are mostly counts whic...

Approximate Solutions of a Higher Order MHD Flow of a Uniformly Stretched Vertical Permeable Surface in the Presence of Heat Generation/Absorption which Resulted from a Quadratic Reaction

O. K. Koriko — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.96.99

Higher order MHD flow of a uniformity stretched vertical permeable surface in the presence of heat generation/absorption which resulted from a quadratic reaction was studied. The resulting coupled non...

Comparison of the Bayesian and Maximum Likelihood Estimation for Weibull Distribution

Al Omari Mohammed Ahmed — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.100.104

Problem statement: The Weibull distribution has been widely used especially in the modeling of lifetime event data. It provides a statistical model which has a wide variety of applications in many are...

A Tabu Search Method for Finding Minimal Multi-Homogeneous Bézout Number

Hassan M.S. Bawazir — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.105.109

Problem statement: A homotopy method has proven to be reliable for computing all of the isolated solutions of a multivariate polynomial system. The multi-homogeneous Bézout number of a polynomial sys...

Mathematical Model for Waste Reduction in Aluminum Fabrication Industry in Kuwait

Mohammed A. Hajeeh — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.110.115

Problem statement: Waste generation in the aluminum industry throughout the fabrication processes in Kuwait. Approach: A mathematical model has been developed to analyze the fabrication process and a ...

Prediction in Complex Dimension Using Kolmogorov's Set of Axioms

Abdo Abou Jaoude — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.116.124

Problem statement: The five basic axioms of Kolmogorov define the probability in the real set of numbers and do not take into consideration the imaginary part which takes place in the complex set of n...

Integrability and Prolongation Structure of a Generalized Korteweg-de Vries Equation

Paul Bracken — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.125.130

A closed differential ideal is constructed for a generalized Korteweg-de Vries equation. The ideal can be used to establish integrability for the equation. Some prolongation structures are determined ...

A New Method to Describe Image Theory for an Imperfect Conductor

Scott L. Meredith — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.131.135

Problem statement: Modify the equations associated with image theory in order to account for perfect and imperfect conductors. Approach: A novel approach for describing the application of image theory...

Handling the Dependence of Claim Severities with Copula Models

Yulia Resti — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.136.142

Problem statement: Several studies have been carried out on the modeling of claim severity data in actuarial literature as well as in insurance practice. Since it is well established that the claim co...

Similarity Solutions for Free Convection Between Two Parallel Porous Walls at Different Temperatures

A. J. Omowaye — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.143.150

Problem statement: A two dimensional steady laminar free convective flow of viscous incompressible fluid between two parallel porous walls is considered. Approach: Using the similarity variable, the p...

Generalized Finite Sequence of Fuzzy Topographic Topological Mapping

Tahir Ahmad — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.151.156

Problem statement: Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphism...

A Modified Partially Mapped MultiCrossover Genetic Algorithm for Two-Dimensional Bin Packing Problem

M. Sarabian — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.157.162

Problem statement: Non-oriented case of Two-Dimensional Rectangular Bin Packing Problem (2DRBPP) was studied in this study. The objective of this problem was to pack a given set of small rectangles, w...

An Alternative Scaling Factor In Broyden's Class Methods for Unconstrained Optimization

Muhammad Fauzi bin Embong — 2010-06-02

Journal of Mathematics and Statistics, Published online: 2 June 2010; doi:10.3844/jmssp.2010.163.167

Problem statement: In order to calculate step size, a suitable line search method can be employed. As the step size usually not exact, the error is unavoidable, thus radically affect quasi-Newton meth...

Capital Structure and Corporate Performance in Nigeria Petroleum Industry: Panel Data Analysis

Dare Funso David — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.168.173

Problem statement: The actual impact of capital structure on corporate performance in Nigeria has been a major problem among researchers that has not been resolved. Approach: The study looks at the im...

Optimal Boundary Control of the Incompressible Fluid Problems in Rotation form

Jia Liu — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.174.182

Problem Statement: We consider the optimal boundary control of the linearized Navier-Stokes problem. Both the Stokes problem and Oseen problem in rotation form are considered. Approach: We use the Mar...

Estimation under Multicollinearity: A Comparative Approach Using Monte Carlo Methods

D. A. Agunbiade — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.183.192

Problem statement: A comparative investigation was done experimentally for 6 different Estimation Techniques of a just-identified simultaneous three-equation econometric model with three multi-colline...

Higher-Order Newton-Cotes Formulas

Pedro Americo Almeida Magalhaes Junior — 2010-06-30

Journal of Mathematics and Statistics, Published online: 30 June 2010; doi:10.3844/jmssp.2010.193.204

Problem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes...