Volume 6, Issue 1 (2010) | Journal of Mathematics and Statistics

Transient Solution to an infinite Server Queue with Varying Arrival and Departure Rate

A. A. El-Sherbiny — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.1.3

Problem statement: In many potential application of queueing theory, the transient solution of queueing system is important. Approach: This study presented the transient solution for infinite server q...

Negative Binomial-Lindley Distribution and Its Application

Hossein Zamani — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.4.9

Problem statement: The modeling of claims count is one of the most important topics in actuarial theory and practice. Many attempts were implemented in expanding the classes of mixed and compound dist...

Asymptotic Properties of Spectral Estimates of Second-Order with Missed Observations

G. S. Mokaddis — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.10.16

Problem statement: As a complement of the periodogram study the asymptotic properties of the spectral density using data window for stationary stochastic process are investigated. Some statistical pro...

Compare Between Two-Unit Cold Standby and Warm Standby Outdoor Electric Power Systems in Changing Weather

G. S. Mokaddis — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.17.22

Problem statement: This study presents the reliability analysis of two mathematical models representing electric power systems operating in fluctuating outdoor weather (i.e., normal and stormy weather...

Imbedding the Multiplier in a Discretized Optimal Control Problem With Real Coefficients Via the Penalty and Multiplier Methods

O. Olotu — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.23.27

Problem statement: Many earlier schemes, particularly the Function Space Algorithm (FSA) which sidetracks the knowledge of operator, for solving quadratic optimal control problems have been computatio...

An Improved Binary Method for Scalar Multiplication in Elliptic Curve Cryptography

M. A. Mohamed — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.28.33

Problem statement: Until recently, many addition chain techniques constructed to support scalar multiplication operation have been proposed tailored to limited computational resources. In securing the...

Some Properties of Certain Subclass of Meromorphically Multivalent Functions Defined By Linear Operator

F. Ghanim — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.34.41

Problem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others....

Quadratic Convergence Ratio of Constrained Optimal Control Problems

O. Olotu — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.42.46

Problem statement: Earlier Researchers developed algorithms for solving quadratic control problems, but did not address the quadratic convergence ratio profile. Approach: Hence, the objective of this ...

Boundary Distributions with Respect to Chebyshev's Inequality

Peter Bias — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.47.51

Variables whose distributions achieve the boundary value of Chebyshev’s inequality are characterized and it is found that non-constant variables with this property are symmetric discrete with at mos...

Exterior Differential Systems for Higher Order Partial Differential Equations

Paul Bracken — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.52.55

The theory of exterior differential systems is applied to study integrability of a set of related partial differential equations expressed in the terms of differential forms using Cartan's method. The...

Split-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski Spacetime

Paul Bracken — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.56.59

The moving frame and associated Gauss-Codazzi equations for surfaces in Minkowski three space are introduced. A split-quaternionic representation is used to identify the Gauss-Weingarten equations wit...

A Multiderivative Collocation Method for 5th Order Ordinary Differential Equations

S. J. Kayode — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.60.63

Problem statement: The conventional methods of solving higher order differential equations have been by reducing them to systems of first order equations. This approach is cumbersome and increases com...

Decomposition of Marginal Homogeneity into Logit and Mean Ridits Equality for Square Contingency Tables

Kiyotaka Iki — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.64.67

Problem statement: For square contingency tables with ordered categories, if the Marginal Homogeneity (MH) model holds, then the probability that X selected at random from the row marginal distributio...

The Time-Dependent Mean and Variance of the Non-Stationary Markovian Infinite Server System

Peter M. Ellis — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.68.71

Problem statement: In many queuing situations the average arrival and service rates vary over time. In those situations a transient solution for the state probabilities and mean and variance must be o...

Generalization of (0, 4) Lacunary Interpolation by Quantic Spline

Jwamer Karwan Hama Faraj — 2010-03-31

Journal of Mathematics and Statistics, Published online: 31 March 2010; doi:10.3844/jmssp.2010.72.78

Problem statement: Spline functions are the best tool of polynomials used as the basic means of approximation theory in nearly all areas of numerical analysis. Also in the problem of interpolation by ...