Volume 1, Issue 1 (2005) | Journal of Mathematics and Statistics

The Finite-Sample Bias of the Autoregressive Parameter Under Rank-based Estimation

Steven Cook — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.1.2

Monte Carlo simulation is employed to examine the finite-sample properties of the estimated autoregressive parameter associated with the Dickey-Fuller and rank-based Dickey-Fuller unit root tests. W...

A Generalization of the Frobenius Method for Ordinary Differential Equations with Regular Singular Points

Jung-Hua Chou — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.3.7

The conventional Frobenius method for second order differential equations with regular singular points is extended to differential equations of higher and lower orders. The conditions of a point bei...

Explicit Exact Formulas for the 3-D Tetrahedron Inertia Tensor in Terms of its Vertex Coordinates

F. Tonon — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.8.11

The inertia tensor of a tetrahedron is composed of its moments of inertia. This study presents explicit exact formulas for the moments of inertia of a 3-D tetrahedron as simple polynomials of its ve...

On The Temperature Field of a Viscous Reacting Flow Near a Moving Wall with Thermal Radiation

B. I. Olajuwon — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.12.14

We examine the temperature field of a viscous reacting flow near a moving wall with thermal radiation. Of particular interest is the effect of thermal radiation parameter and the Frank-kamenetskii p...

Introduction to the New Type of Algorithms for Accelerating Convergence of Sequence

R. Thukral — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.15.23

A collection of new algorithms for accelerating the convergence of sequence of functions was described. The definitions and connections of these new algorithms with the improved functional epsilon a...

Chord Length Distributions of the Hemisphere

Wilfried Gille — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.24.28

The distribution laws for two types of isotropic uniform random chords of the hemisphere, cap-chords and basic-chords, are investigated separately. From both distribution densities, the chord length ...

Association of Landscape Metrics to Surface Water Biology in the Savannah River Basin

Maliha S. Nash — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.29.34

Surface water quality for the Savannah River basin was assessed using water biology and landscape metrics. Two multivariate analyses, partial least square and canonical correlation, were used to des...

Kernel Density Estimation for Interdeparture Time of GI/G/1 Queues

Hsing Luh — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.35.39

The departure process of a single queue has been studied since the 1960s. Due to its inherent complexity, closed form solutions for the distribution of the departure process are nearly intractable. ...

Extension to Sufficient Optimality Conditions in Complex Programming

E. A. Youness — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.40.48

In this study we extend the sufficient optimality conditions of complex programming problems to a large class of functions that include the two parts (real and imaginary) of the objective function. Th...

On Multivariate Order Statistics by Marginal Ordering of i.n.n.i.d. Random Vectors Under Discontinuous d.f.'s

M. Güngör — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.49.50

In this study, the joint Probability Density Function (p.d.f.) of multivariate order statistics by marginal ordering of the Independent and Not Necessarily Identically Distributed (i.n.n.i.d.) random ...

Semi Strongly E-Convex Functions

E. A. Youness — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.51.57

In this study a new class of functions, called semi strongly E-convex functions, and generalized semi strongly E-convex functions are defined .We discuss some their basic properties and obtain suffi...

A Theorem of Hunt for Semidynamical Systems

Mounir Bezzarga — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.58.65

The main result of this paper provides a direct proof of a Hunt's Theorem of the classical potential theory for the so called local semidynamical systems in non locally compact infinite dimensional ...

Graph Folding of Some Special Graphs

E. El-Kholy — 2010-03-30

Journal of Mathematics and Statistics, Published online: 30 March 2010; doi:10.3844/jmssp.2005.66.70

In this study we introduced the definition of graph folding then, we proved that we cannot fold any complete graph except the bipartite graph. By using incidence matrices we described the graph fold...

Profit Analysis of A Two Unit Cold Standby System with Preventive Maintenance and Random Change in Units

Khaled M. EL-Said — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.71.77

This study discusses the reliability of two units cold standby system with single repair. For achieving high reliability of the system, the operative and the standby units are interchanged at random ...

On a Problem Connected with Navier-stokes Equations in Non Cylindrical Domains

J. Limaco — 2005-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2005; doi:10.3844/jmssp.2005.78.85

In this study we showed the existence of weak solutions of equations that represent flows of a non-homogeneous viscous incompressible fluids in a non cylindrical domain in R3 . The classical Navier-...