Volume 4, Issue 3 (2008) | Journal of Mathematics and Statistics

K-Step Rational Runge-Kutta Method for Solution of Stiff System of Ordinary Differential Equations

P.O. Babatola — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.130.137

This study described the development, analysis and implementation of K-step implicit rational Runge-Kutta schemes for solution of stiff system of ordinary differential equations. Its development adopt...

Generalization of Differential Operator

Maslina Darus — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.138.144

The main objective of this study was to generalize a differential operator. The generalized differential operator reduced to many known operators studied by various authors. New classes containing thi...

Comparison of Estimators of Dispersion Matrix

Narges Abbasi — 2008-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2008; doi:10.3844/jmssp.2008.145.147

Based on a sample, we considered the problem of estimating the dispersion matrix of a multivariate normal distribution with variance covariance matrix Σ. Empirical Bayes estimators and Haff estimat...

RETRACTED: On the New Branch of Mathematical Science-Part 2

M. Sivasubramanian — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.148.149

The fifth Euclidean postulate problem in geometry is 2300 years old. This postulate is also known as Euclid’s parallel postulate. The great mathematicians tried their best to deduce the fifth postul...

Modified Ratio-Type Estimators of the Mean using Extreme Ranked Set Sampling

Amer Ibrahim Al-Omari — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.150.155

Modified ratio-type estimators of the population mean were suggested using the first or third quartiles of the auxiliary variable based on Simple Random Sampling (SRS) and Extreme Ranked Set Sampling ...

On Cesáro means for Fox-Wright functions

Maslina Darus — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.156.160

The polynomial approximants which retain the zero free property of a given analytic function involving fox-wright function in the unit disk U: = {z: |z|

Solving the Vehicle Routing Problem with Stochastic Demands via Hybrid Genetic Algorithm-Tabu Search

Z. Ismail — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.161.167

This study considers a version of the stochastic vehicle routing problem where customer demands are random variables with known probability distribution. A new scheme based on a hybrid GA and Tabu Sea...

Using the Spreadsheet to Understand Random Sampling Procedures in Relation to the Central Limit Theorem

Ramzi Naim Nasser — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.168.173

In many statistics courses in colleges and universities, random sampling has not been presented to students through a hands-on and practical approach. This research described a real-life method to r...

Block Methods based on Newton Interpolations for Solving Special Second Order Ordinary Differential Equations Directly

Yap Lee Ken — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.174.180

This study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Greg...

Proof of Bernhard Riemann's Functional Equation using Gamma Function

Mbaïtiga Zacharie — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.181.185

This study shows the use of gamma function to prove the Riemann functional equation. Two approaches had been used to solve this problem: first the value of t in the definition of the gamma function ha...

Powerful Features of the Modern Syllogistic Method of Propositional Logic

Ali Muhammad Rushdi — 2008-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2008; doi:10.3844/jmssp.2008.186.193

In traditional propositional logic, many replacement and inference rules were involved to ascertain if the truth of several antecedents implied the truth of a particular consequent. This research desc...