Volume 7, Issue 2 (2011) | Journal of Mathematics and Statistics

Complete Convergence of Exchangeable Sequences

George Stoica — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.95.97

We prove that exchangeable sequences converge completely in the Baum-Katz sense under the same conditions as i.i.d. sequences do. Problem statement: The research was needed as the rate of convergenc...

Dissecting Two Approaches to Energy Prices

Julius N. Esunge — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.98.102

Problem statement: This research tested the viability of Geometric Brownian Motion as a stochastic model of oil prices. Approach: Using autoregressions and unit root tests, we determined that oil pr...

Application of Markov Chains to Stock Trends

Kevin J. Doubleday — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.103.106

Problem statement: Modeling of the Dow Jones Industrial Average is frequently attempted in order to determine trading strategies with maximum payoff. Changes in the DJIA are important since movement...

Fuzzy Subalgebras and Fuzzy T-ieals in TM-Algebras

Kandasamy Megalai — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.107.111

In this study, we introduce the concepts of fuzzy subalgebras and fuzzy ideals in TM-algebras and investigate some of its properties. Problem statement: Let X be a TM-algebra, S be a subalgebra of X ...

Research of Modular Object Oriented Dynamic Learning Environment E-Learning on Social Study for Elementary School Students

Tian-Syung Lan — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.112.115

Problem statement: As the progress of digital technology, involving e-learning into curriculum becomes a novel trend. In general, the teaching practice of social study for elementary school students...

Discretized Scheme Examining Convergence and Geometric Ratio Profiles for Control Problem Constrained by Evolution Equation

O. Olotu — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.116.123

Problem statement: Here, we develop a discretized scheme using only the penalty method without involving the multiplier parameter to examine the convergence and geometric ratio profiles. Approach: T...

Solving Directly Two Point Non Linear Boundary Value Problems Using Direct Adams Moulton Method

Zanariah Abdul Majid — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.124.128

Problem statement: In this study, a direct method of Adams Moulton type was developed for solving non linear two point Boundary Value Problems (BVPs) directly. Most of the existence researches invol...

Estimation Methods for Multicollinearity Proplem Combined with High Leverage Data Points

Moawad El-Fallah — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.129.136

Problem statement: Least Squares (LS) method has been the most popular method for estimating the parameters of a model due to its optimal properties and ease of computation. LS estimated regression ...

On a Univalent Class Involving Differential Subordinations with Applications

R. W. Ibrahim — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.137.143

Problem statement: By means of the Hadamard product (or convolution), new class of analytic functions was formed. This class was motivated by many authors. Approach: By using the concept of the subo...

Modules in σ[M] with Chain Conditions on δ_M^-small Submodules

Ali O. Alattass — 2011-05-18

Journal of Mathematics and Statistics, Published online: 18 May 2011; doi:10.3844/jmssp.2011.144.148

Problem statement: Let M be a right module over a ring R. In this article modules in σ[M] with chain conditions on δM- small submodules are studied. Approach: With the help of known results about M-...

Magneto Convection in Tilted Square Cavity with Differentially Thermally Active Vertical Walls

Gokila Subbarayalu — 2011-05-25

Journal of Mathematics and Statistics, Published online: 25 May 2011; doi:10.3844/jmssp.2011.149.156

Problem statement: The purpose of this study is to study numerically the magnetoconvection in a tilted square cavity with differentially thermally active vertical walls. The two vertical side walls ...

Research on the Decision Model for Self-Production and Outsourcing Choices under Limited Production Capacity

Yu-Teng Chang — 2011-05-25

Journal of Mathematics and Statistics, Published online: 25 May 2011; doi:10.3844/jmssp.2011.157.164

Problem statement: In the face of competitive environments with uncertain demands and a trend toward High-Mix, Low-Volume (HMLV) production, self-production or direct outsourcing has troubled decisi...