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

Detecting Non-Dominated Extreme Points for Multiple Objective Linear Programming

S. F. Tantawy — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.77.79

Efficient extreme points in decision space of multiple objective linear programming (MOLP) may not map to non dominated extreme points in objective space under the linear mapping, condition that effic...

Markov Property of the Solution of the Stochastic Generalized Equations

Khaldi Khaled — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.80.82

Some models of probabilities are described by generalized stochastic equations. These models (like that prediction) lead to the resolution of boundary problems for random distributions (generalized eq...

Dynamics Modelling of a Plate Vibrating in a Perfect Fluid

Bouarroudj Nadra — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.83.87

We deal with the interaction problem of a plate vibrating within a perfect fluid. We establish the equations describing the dynamics behaviour of the plate using the general equations of the elasto-dy...

Asymptotic Behavior for Solution of Reaction-Diffusion Systems

M. Yahi — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.88.92

The existence, uniqueness, and asymptotic behavior of the solution of a balanced two-component reaction-diffusion system have been investigated. It was shown that a global and unique solution existed ...

A Note on Model Selection in Mixture Experiments

Kadri Ulaş Akay — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.93.99

In mixture experiments, determination of the best model for modeling the mixture system is significant in both understanding and interpreting the system. For obtaining the best model in mixture experi...

Study of Families of Curves in the Euclidian Plan

Belaib Lekhmissi — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.100.105

Non-standard analysis techniques are more considered in approaching complex mathematical domains. By using some concepts of non-standard analysis methods such as regionalization method, we deal with a...

Bayes Estimation of the Lifetime Parameters for the Exponential Distribution

Ahmed A. Abu-Taleb — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.106.108

Bayes estimation for the parameters of the lifetime distribution when both survival and censoring time are exponentially distributed were studied. The marginal posteriors, Bayes estimates and credible...

Using Feasible Direction to Find All Alternative Extreme Optimal Points for Linear Programming Problem

S. F. Tantawy — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.109.111

We presented a feasible direction method to find all optimal extreme points for the linear programming problem. Our method depends on the conjugate gradient projection method starting with an initial ...

Generalization of Banach Contraction Principle in Two Directions

E. El-Shobaky — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.112.115

We showed that the generalized contraction mapping defined on a closed convex subset of a weakly Cauchy normed space has a unique fixed point. Moreover, the sequence of iterates of any element in the ...

Exact Permutation Algorithm for Paired Observations: The Challenge of R. A. Fisher

J. I. Odiase — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.116.121

The major handicap of permutation test is the logical and computational requirement necessary to develop and implement the exact permutation scheme. This study provides an algorithm that systematicall...

Cost Elasticities of Reliability and MTTF for k-out-of-n Systems

Ali Muhammad Rushdi — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.122.128

The application of the concept of cost elasticity of reliability was extended from the parallel system to the partially redundant or k-out-of-n:G(F) system (or k-out-of-n system, for short). An expres...

Sufficient Conditions for the Oscillation of Solutions of Some Nonlinear Parabolic Systems

S. Mazouzi — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.129.133

We established some sufficient conditions for the oscillation of the solutions of some nonhomogenous nonlinear parabolic systems subject to Robin’s boundary condition.

Existence and Uniqueness Conditions for the Maximum Likelihood Solution In Regression Models For Correlated Bernoulli Random Variables

David Todem — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.134.141

We give sufficient and necessary conditions for the existence of the maximum likelihood estimate in a class of multivariate regression models for correlated Bernoulli random variables. The models use ...

Optimization Based Heuristic Approaches for Solving an Integrated One-dimensional Cutting Stock-Transportation Problem

Sirirat Wongprakornkul — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.142.150

In this work, the integration of the one-dimensional cutting stock problem with multiple cutting facilities and the transportation problem was formulated mathematically as a large-scale discrete optim...

Deciding Whether There is Statistical Independence or Not?

Ramzi Nasser — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2007.151.162

The study investigated how students assess statistical independence (SI). A sample of 98 students was available to the researcher. One group was probed on their understanding of statistical independen...