Open Access Original Research Article

Bayesian Inference Based on the Interval Grouped Data from the Weibull Model with Application

Hatim Solayman Migdadi, Mohammad Subhi Al-Batah

Journal of Advances in Mathematics and Computer Science, Page 1170-1183
DOI: 10.9734/BJMCS/2014/7930

In this paper, based on the interval grouped data, Bayesian approach is used to obtain estimator for the Weibull scale parameter and some lifetime such as the reliability and hazard functions. The estimation procedures have been developed and modified under squared error loss function (SELF) and general entropy loss function (GELF). The estimators are derived using the inverted gamma conjugate prior. Credible intervals and high posterior density (HPD) credible intervals are also obtained. Prediction for the future number of failures in the corresponding intervals is presented. Finally, real life example is applied to illustrate the performance of the estimation procedures.

Open Access Original Research Article

An Efficient Three-phase Email Spam Filtering Technique

Tarek M Mahmoud, Alaa Ismail El Nashar, Tarek Abd-El-Hafeez, Marwa Khairy

Journal of Advances in Mathematics and Computer Science, Page 1184-1201
DOI: 10.9734/BJMCS/2014/7675

Email spam is one of the major problems of the today’s Internet, bringing financial damage to companies and annoying individual users. Many spam filtering techniques based on supervised machine learning algorithms have been proposed to automatically classify messages as spam or legitimate (ham). Naive Bayes spam filtering is a popular mechanism used to distinguish spam email from ham email. In this paper, we propose an efficient three-phase email spam filtering technique: Naive Bayes, Clonal Selection and Negative Selection. The experimental results applied on 10,000 email messages taken from the TREC 2007 corpus shows that when we apply the Clonal selection and Negative selection algorithms with the naive Bayes spam filtering technique the accuracy rate is increased than applying each technique alone.

Open Access Original Research Article

A Weaker Condition for Stable Lagrange Duality in DC Conic Programming

Mengdan Wang, Donghui Fang

Journal of Advances in Mathematics and Computer Science, Page 1202-1212
DOI: 10.9734/BJMCS/2014/8708

We consider the DC conic programming in locally convex Hausdorff vector spaces. By using the infimal convolution of the conjugate functions, we present a new regularity condition, which turns out to be weaker than the regularity conditions given so far in the literature. Moreover, it provides a sufficient and necessary condition for the stable Lagrange duality for the DC conic programming.

Open Access Original Research Article

New Iterative Method for Solving the Fornberg-Whitham Equation and Comparison with Homotopy Perturbation Transform Method

Mohamed A. Ramadan, Mohamed S. Al-luhaibi

Journal of Advances in Mathematics and Computer Science, Page 1213-1227
DOI: 10.9734/BJMCS/2014/8534

This paper presents an approximate analytical solution of the nonlinear Fornberg-Whitham equation using the new iterative method (NIM). A comparison is made between the NIM results, homotopy perturbation transform method (HPTM) and the Adomian's decomposition method (ADM). The solution procedure reveals that NIM is a reliable, simple and effective. The proposed technique solves nonlinear problems without using Adomian's polynomials and He's polynomials which is a clear advantage of it over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems.

Open Access Original Research Article

New Algorithms for Solving k-Tridiagonal Linear Systems

Moawwad El-Mikkawy, Faiz Atlan

Journal of Advances in Mathematics and Computer Science, Page 1228-1239
DOI: 10.9734/BJMCS/2014/8613

The current paper focus on solving k-tridiagonal linear systems of equations via transformation. It investigates numeric and symbolic algorithms for solving such systems. Based on the symbolic algorithm, a MAPLE program is written. The computational cost of the algorithms is given. Some illustrative examples are introduced.

Open Access Original Research Article

Comparison between Spartan-3E and Virtex-6 Technologies on FPGA for UART Transmission

Ramandeep Singh, Sandeep Singh Gill

Journal of Advances in Mathematics and Computer Science, Page 1240-1245
DOI: 10.9734/BJMCS/2014/7539

This paper presents the hardware implementation of high speed (Universal Asynchronous Receiver/Transmitter) UART using (Field Programmable Gate Array) FPGA. UART is an integrated circuit containing a transmitter (parallel to serial converter) and a receiver (serial to parallel converter) each clocked separately. It transmit 9600 to 34800 bps for transmitting data bit. A high speed UART using 90nm and 40nm technologies has been designed by using FPGA’s Spartan 3E and Virtex 6 synthesized on the xilinx ISE 12.4i in VHDL language. By comparing these two technologies on the basis of number of slices, look up tables, GCLK’s, slice flip-flops and maximum frequency, it was seen that 40nm technology consumes less area and is 3 times faster than 90nm technology.

Open Access Original Research Article

Algorithms for Solving Doubly Bordered Tridiagonal Linear Systems

Moawwad El-Mikkawy, Faiz Atlan

Journal of Advances in Mathematics and Computer Science, Page 1246-1267
DOI: 10.9734/BJMCS/2014/8835

In this paper we focus on solving doubly bordered tridiagonal linear systems of equations via transformation. It investigates numeric and symbolic algorithms for solving such systems. The computational cost of the algorithms are given. A MAPLE procedure based on these algorithms is listed. Some illustrative examples are introduced.

Open Access Original Research Article

A Combinatorial Approach for q-Analogue of r-Stirling Numbers

Roberto B. Corcino, Jezer C. Fernandez

Journal of Advances in Mathematics and Computer Science, Page 1268-1279
DOI: 10.9734/BJMCS/2014/8093

We define a q-analogue of r-Stirling numbers of the second kind using their combinatorial interpretation in terms of set partition. Some properties are obtained including recurrence relation, explicit formula and certain symmetric formula. Moreover, a q-analogue of r-Stirling numbers of the first kind is introduced to obtain a q-analogue of the orthogonality and inverse relations of the two kinds of r-Stirling numbers.

Open Access Original Research Article

On Extended Generalized Exponential Distribution

A. K. Olapade

Journal of Advances in Mathematics and Computer Science, Page 1280-1289
DOI: 10.9734/BJMCS/2014/8191

In this paper, we present a generalized exponential distribution that contains four parameters. This distribution further generalizes previously established generalized exponential distributions which now serves as special cases of the new four-parameter generalized exponential distribution. The properties of the new distribution like the cumulative distribution function, the survival function, the hazard function, the moment generating function, the median, the 100p-percentile point and the mode of distribution are established. The moment function of the distribution which cannot be obtained in close form is numerically obtained and tabulated for some selected values of the parameters. A Theorem that characterized the distribution is stated and proved.

Open Access Original Research Article

The Acceptability and Comparative Study of DTMF and Speech for Banking Transactions in Nigeria

Oyelami Olufemi Moses, Akinyemi Ibidapo Olawole

Journal of Advances in Mathematics and Computer Science, Page 1290-1300
DOI: 10.9734/BJMCS/2014/8741

Aims: This article reports the development and the experimental results of the acceptability testing and comparison of speech and dual tone multi frequency (DTMF) for interacting with a speech application for carrying out banking transactions.
Study Design: A within-subjects experiment where each of the participants tested both the DTMF only and speech only modalities was carried out. Each one filled a questionnaire after testing each modality
Place and Duration of Study: Department of Computer and Information Sciences, Covenant University, Ota, Nigeria, between May 2013 and June 2013.
Methodology: Voice Objects 11 was used as the development platform. Voxeo Prophecy 9 was used as the implementation platform while MySQL 5.5 was used as the database management system for storing each customer's account details. X-Lite soft phone 3.3 was used for testing the system. 50 undergraduates of Covenant University, Ota, Nigeria participated in the evaluation. Each one tested the system using DTMF and speech separately. After each round of the tests, each one filled a questionnaire for the modality tested in a bid to measure the acceptability and user satisfaction with the modality.
Results: The entire system’s satisfaction ratings for DTMF were significantly higher (M=36.18) than for speech (M=34.76), t(49)= -1.46, tcrit =2.0, P=.05. For modality evaluation, speech was more satisfying (M=12.22) than DTMF (M=12.18), t(49)= 0.14, tcrit =2.0, P=.05. For modality entertainment, both speech and DTMF were rated equal (M=13.94), t(49)=0, tcrit =2.0, P=.05. For modality naturalness, speech was more natural (M=10.2) than DTMF (M=9.44), t(49)=-2.41, tcrit =2.0, P=.05. 52% of the subjects chose DTMF modality, whereas 48% chose speech (p = .05).
Conclusion: Dialogue systems are a widely acceptable technology for carrying out banking transactions in Nigeria. It will provide a cost-effective and easily accessible means of carrying out banking transactions.