Volume 5, Issue 4 (2009) | Journal of Mathematics and Statistics

Hardware Implementation of a Genetic Algorithm Based Canonical Singed Digit Multiplierless Fast Fourier Transform Processor for Multiband Orthogonal Frequency Division Multiplexing Ultra Wideband Applications

Mahmud Benhamid — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.241.250

Problem statement: Ultra Wide Band (UWB) technology has attracted many researchers' attention due to its advantages and its great potential for future applications. The physical layer standard of Mult...

Ranking of Simultaneous Equation Techniques to Small Sample Properties and Correlated Random Deviates

A. A. Adepoju — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.260.266

Problem statement: All simultaneous equation estimation methods have some desirable asymptotic properties and these properties become effective in large samples. This study is relevant since samples ...

Evolution of Spatial Correlation of Mean Diameter: A Case Study of Trees in Natural Dipterocarp Forest

Rafida M. Elobaid — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.267.269

Problem statement: Spatial modeling has many applications in various fields like agriculture, meteorology, forestry and it takes into consideration the spatial correlation structures. In the field of ...

Random Sum of Mixtures of Sum of Bivariate Exponential Distributions

Abd El-Moneim A.M. Teamah — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.270.275

Problem statement: The distributions of R = X+Y and W = X/(X+Y), where X and Y follow Lawrance and Lewis`s bivariate exponential distribution, is generalized. Approach: In this research we found mixtu...

Homomorphisms on Lattices of Measures

Norris Sookoo — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.276.282

Problem statement: Homomorphisms on lattices of measures defined on the quotient spaces of the integers were considered. These measures were defined in terms of Sharma-Kaushik partitions. The homomorp...

An Extension of Yoshida, Imoto, Higuchi and Miyano Result

B. Onoghojobi — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.283.286

Problem statement: Different approaches to deal with dynamic model when it is studentized are presented. Approach: In this respect, the recursive formula for calculating state space in the canonical f...

Assessing Computer Knowledge in Senior High School: A Case Study of the Upper East Region in Ghana

N.K. Oladejo — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.287.297

Problem statement: This study contracted with assessing the knowledge of computer in Senior High Schools of the Upper East Region in Ghana. Approach: Data collected by means of administration of quest...

Estimation of the Extreme Value Type I Distribution by the Method of LQ-Moments

Ani Shabri — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.298.304

Problem statement: The study evaluated the effectiveness of the various quantile estimators of the LQ-moments method for estimating parameters of the Extreme Value Type 1 (EV1) distribution. Approach:...

Cost Analysis of a System Involving Common-Cause Failures and Preventive Maintenance

M.Y. Haggag — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.305.310

Problem statement: Many authors have studied the cost analysis of a two-unit cold standby redundant system with two types of unit failure, but no attention was paid to the reliability of a system invo...

Robust Estimations as a Remedy for Multicollinearity Caused by Multiple High Leverage Points

Arezoo Bagheri — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.311.321

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

Intervention Model for Analyzing the Impact of Terrorism to Tourism Industry

Z. Ismail — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.322.329

Problem statement: It is common in time series data with extreme change in its mean caused by an intervention which comes from external and/or internal factors. This extreme change in mean is known as...

An Optimal Inventory Policy for Items having Linear Demand and Variable Deterioration Rate with Trade Credit

Singh Shivraj — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.330.333

Problem statement: Demand considered in most of the classical inventory models is constant, while in most of the practical cases the demand changes with time. In this study model has been framed to st...

Heuristic Placement Routines for Two-Dimensional Bin Packing Problem

L. Wong — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.334.341

Problem statement: Cutting and packing (C and P) problems are optimization problems that are concerned in finding a good arrangement of multiple small items into one or more larger objects. Bin packin...

Greatest Common Divisor and Least Common Multiple Matrices on Factor Closed Sets in a Principal Ideal Domain

A. N. El-Kassar — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.342.347

Problem statement: Let T be a set of n distinct positive integers, x1, x2, ..., xn. The n×n matrix [T] having (xi, xj), the greatest common divisor of xi and xj, as its (i,j)-entry is called the grea...

On Numerical Ranges of Nilpotent Elements of C*-Algebra

A. Abdollahi — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.348.351

Problem statement: Let A be a C*-algebra with unit 1. For each a∈A, let V(a), v(a) v0(a) and denote its numerical range, numerical radius and the distance from the origin to the boundary of its nume...

A Solution Methodology of Bi-Level Linear Programming Based on Genetic Algorithm

M. S. Osman — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.352.359

Problem statement: We deal with the bi-level linear programming problem. A bi-level programming problem is formulated for a problem in which two Decision-Makers (DMs) make decisions successively. Appr...

On Calculating the Hougaard Measure of Skewness in a Nonlinear Regression Model with Two Parameters

S. A. EL-Shehawy — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.360.364

Problem statement: This study presented an alternative computational algorithm for determining the values of the Hougaard measure of skewness as a nonlinearity measure in a Nonlinear Regression model ...

Asymptotic Distribution of Coefficients of Skewness and Kurtosis

Narges Abbasi — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.365.368

Problem statement: In literature, a classic method which has been used to recognize the distribution so far is the measurement of its skewedness and kurtosis. However, there remains a question: how wo...

On Sixtic Lacunary Spline Solutions of Second Order Initial Value Problem

Jwamer Karwan Hama Faraj — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.369.374

Problem statement: The lacunary problem, which we had investigated in this study, consider in finding the spline function of degree six S(x) of deficiency four, interpolating data given on the functio...

Hill Climbing Method Using Claus Model for Categorical Data

B. Onoghojobi — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.375.378

Problem statement: In this study, a locally unbiased test statistic based on the Claussian method was presented. Approach: In this respect, exploiting special structures of modified quadratic hill cli...

Stochastic Optimization for Portfolio Selection Problem with Mean Absolute Negative Deviation Measure

Anton Abdulbasah Kamil — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.379.386

Problem statement: The most important character within optimization problem is the uncertainty of the future returns. Approach: To handle such problems, we utilized probabilistic methods alongside wit...

Optimization Techniques for Variable Selection in Binary Logistic Regression Model Applied to Desire for Children Data

S. K. Sarkar — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.387.394

Problem statement: The population problem is the biggest problem in the world. In the global and regional context, Bangladesh population has drawn considerable attention of the social scientists, poli...

Cost Analysis of Two-Dissimilar-Unit Cold Standby System with three States and Preventive Maintenance Using Linear First Order Differential Equations

M. Y. Haggag — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.395.400

Problem statement: Several researchers have studied the reliability behavior of a three state systems, but no attention was paid to the reliability evaluation due to preventive maintenance. The better...

Cost Analysis of K-Out of-n Repairable System with Dependent Failure and Stand by Support Using Kolmogorov's Forward Equations Method

M. Y. Haggag — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.401.407

Problem statement: Many authors have studied k-out of-n repairable system with dependent failure and standby support. The question was raised whether the repair and standby units support increase the ...

Elementary Combinatorial-Probabilistic Proof of the Wallis and Stirling Formulas

Mikhail Kovalyov — 2009-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2009; doi:10.3844/jmssp.2009.408.410

This short note provides a remarkably simple derivation of the Wallis and Stirling formulas based on elementary estimates applied to binomial coefficients. As a byproduct an elementary proof of the ce...