Volume 6, Issue 3 (2010) | Journal of Mathematics and Statistics

SH Waves Diffusion in Fluid-Saturated Medium

C.C. Dennis Ling — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.205.209

Problem statement: Characteristics of the seismic waves have been studied mainly the amplitudes, attenuation, frequency, porosity and the velocity of the waves. In this study, the SH-waves were studie...

The Horizontal Electric Field Induced by a Lightning Return Stroke

Scott L. Meredith — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.210.216

Problem statement: Develop a new formula which describes the horizontal electric field induced by a lightning return stroke in contact with an imperfect conductive surface. Approach: A new method for...

The Probability and the Asymptotic Distribution Functions of Increasing Ordered Statistical Data

A. A. El-Faheem — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.217.220

Problem statement: We considered two types of sequences of ordered statistical discrete data i1, i2…in, 1≤i1≤ i2≤… in≤n and ij = 1,2,…,n, j = 1,2,…,n. The first type is the order stati...

The Magnetic Field Induced by a Lightning Strike's Indirect Effect Double Exponential Current Waveform

Scott L. Meredith — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.221.225

Problem statement: Develop a new formula which describes the magnetic field induced by a lightning strike’s indirect effect double exponential current waveform. Approach: A novel approach for develo...

The Exact Root Algorithm for Computing the Real Roots of an Nth Degree Polynomial

E. A. Adebile — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.226.232

Problem statement: The need to find an efficient and reliable algorithm for computing the exact real roots of the steady-state polynomial encountered in the investigation of temperature profiles in bi...

Approximation of Aggregate Losses Using Simulation

Mohamed Amraja Mohamed — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.233.239

Problem statement: The modeling of aggregate losses is one of the main objectives in actuarial theory and practice, especially in the process of making important business decisions regarding various a...

Interpolating Operators for Multiapproximation

Eman Samir Bhaya — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.240.245

Problem statement: There are no simple definitions of operators for best multiapproximation and best one sided multiapproximation which work for any measurable function in Lp for, p>0. This study inve...

A New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear Equations

M. Y. Waziri — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.246.252

Problem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In...

On Parametric p-Valent Meromorphic Functions

Poonam Sharma — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.253.260

Problem statement: In this research, we studied parametric p-valent meromorphic functions Pαf by considering two classes Mαp (β) and Mαp (λ,A) . Approach: With the help of Jack’s Lemma an inclu...

Reliability of Simple 3-Dimnesional Consecutive k-Out-of-n: F Systems

M. Gharib — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.261.264

Problem statement: In this study, the reliability of some special cases of a 3-dimnesional consecutive k-out-of-n: F system and k-within consecutive (2,2,2) -out-of- (m,2,2): F system were discussed. ...

Simple Improvement of Momentum Interpolation Equation for Navier-Stoke Equation Solver on Unstructured Grid

Adek Tasri — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.265.270

Problem statement: Pressure and velocity decoupling have been source of problem in solving Navier-Stokes and continuity equation particularly in complex collocated grid. The problem of pressure veloci...

On Certain Classes of Multivalent Analytic Functions

Rabha W. Ibrahim — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.271.275

Problem statement: By means of the Hadamard product (or convolution), new class of function of power order was formed. This class was motivated by many authors namely MacGregor, Umezawa, Darus and Ibr...

The Shortest Path with Intelligent Algorithm

Surachai Panich — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.276.278

Problem statement: Path planning algorithms need to be developed and implemented in a suitable manner to give better understanding about the intelligent system and also stimulates technological supply...

Ordinal Logistic Regression Model: An Application to Pregnancy Outcomes

K. A. Adeleke — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.279.285

Problem statement: This research aimed at modeling a categorical response i.e., pregnancy outcome in terms of some predictors, determines the goodness of fit as well as validity of the assumptions and...

Optimization of Bathymetry Database for Coastal Areas

Worachat Wannawong — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.286.293

Problem statement: A database containing gridded bathymetries with different coverages and resolutions has been established. Approach: The interpolation techniques of the gridded bathymetries have bee...

Proof of Analytic Extension Theorem for Zeta Function Using Abel Transformation and Euler Product

Mbaitiga Zacharie — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.294.299

Problem statement: In the prime number the Riemann zeta function is unquestionable and undisputable one of the most important questions in mathematics whose many researchers are still trying to find a...

Using Regression to Establish Weights for a Set of Composite Equations through a Numerical Analysis Approach: A Case of Admission Criteria to a College

Ramzi Naim Nasser — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.300.305

Problem statement: Mathematically little is known of college admission criteria as in school grade point average, admission test scores or rank in class and weighting of the criteria into a composite ...

Cost Analysis of a Two Dissimilar-Unit Cold Standby Redundant System Subject to Inspection and Random Change in Units

G. S. Mokaddis — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.306.315

Problem statement: This study deled with the cost analysis of a two dissimilar unit cold standby redundant system subject to inspection and random change in units. In this system each unit works in tw...

3-Unit System Comprising Two Types of Units with First Come First Served Repair Pattern Except When Both Types of Units are Waiting for Repair

Amit Goyal — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.316.320

Problem statement: In this study we investigated the probabilistic analysis of a three unit system working in a sugar Mill, wherein one unit is big and the other two units are small and identical, is ...

Predicting Insurance Investment: A Factor Analytic Approach

Samuel Obi-Nnamdi Agwuegbo — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.321.324

Problem statement: In the last decade growing attention has been paid to the pattern of investments by the insurance industry and the question of how to evaluate such investments. In an economy where ...

An Instant of Performance Criteria for Outlier Identification

B. Onoghojobi — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.325.326

Problem statement: Different approach to deal with criteria for multivariate outlier identification procedures when it was studentized was presented. Approach: In this respect, associated unpractical ...

Spline Estimator in Multi-Response Nonparametric Regression Model with Unequal Correlation of Errors

Budi Lestari — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.327.332

Problem statement: In many applications two or more dependent variables are observed at several values of the independent variables, such as at time points. The statistical problems are to estimate fu...

A Study of Naghdi's Shell with a Unilateral Contact of a Rigid Obstacle

Taallah Frekh — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.333.341

Problem statement: In this study we considered a shell modeled by Naghdi’s equations with a unilateral contact of a rigid body. Approach: This model has been studied by Blouza and Le Dret (1994b) bu...

A Random Walk Model for Stock Market Prices

S. O.N. Agwuegbo — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.342.346

Problem statement: The stock exchange market has been one of the most popular investments in the recent past due to its high returns. The market has become an integral part of the global economy to th...

Subsample Goal Model for Multihalver on Outliers

B. Onoghojobi — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.347.349

Problem statement: In this study, a delete-half jackknife problem reformulated as a subsample multihalver was presented. Approach: In this respect, exploiting outlier nomination and estimation, since ...

An Application of Multivariate Analysis in Modeling Students Placement in Nigerian Higher Institutions

Ali Idrisa Gambo — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.350.356

Problem statement: Students’ placement into courses of study in most (if not all) tertiary institutions in Nigeria had long been a problematic exercise. Most students get placed into courses of stud...

Edge Double-Critical Graphs

John J. Lattanzio — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.357.358

Problem statement: The vertex double-critical conjecture that the only vertex double-critical graph is the complete graph has remained unresolved for over forty years. The edge analogue of this conje...

A Monte Carlo Study of Seven Homogeneity of Variance Tests

Howard B. Lee — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.359.366

Problem statement: The decision by SPSS (now PASW) to use the unmodified Levene test to test homogeneity of variance was questioned. It was compared to six other tests. In total, seven homogeneity of ...

A Zero-Stable Optimal Order Method for Direct Solution of Second Order Differential Equations

Kayode Sunday Jacob — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.367.371

Problem statement: In this study, a numerical method for direct solution of general second order differential equations was considered in order to circumvent the problems of computational burden and c...

Time Series Analysis of Rainfall and Temperature Interactions in Coastal Catchments

Gurudeo Anand Tularam — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.372.380

Problem statement: As a result of climate change more work is now being done on climate indices such as SOI, rainfall, temperature and so on. The research concerning rainfall and temperature variation...

Indirect Kalman Filter in Mobile Robot Application

Surachai Panich — 2010-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2010; doi:10.3844/jmssp.2010.381.384

Problem statement: The most successful applications of Kalman filtering are to linearize about some nominal trajectory in state space that does not depend on the measurement data. The resulting filter...